From 1a29d73c95a6c58bb5475196bf67c3123746b9cc Mon Sep 17 00:00:00 2001 From: Lasitha Date: Fri, 8 Oct 2021 01:56:01 -0400 Subject: [PATCH 1/6] added plotting functionality with screws --- plotting/.DS_Store | Bin 0 -> 6148 bytes plotting/animateBaseExp.m | 201 +++++++++++++++++++++++++++++ plotting/animateExp.m | 179 +++++++++++++++++++++++++ plotting/animateMultiRobotExp.m | 183 ++++++++++++++++++++++++++ plotting/animateRobot2D.m | 27 ++++ plotting/animateRobot7dof.m | 37 ++++++ plotting/animateRobotBase2D.m | 4 + plotting/animateRobotRedundant2D.m | 9 ++ plotting/draw2DBaseRobot.m | 11 ++ plotting/draw2DRobot.m | 13 ++ plotting/draw7DofRobot.m | 70 ++++++++++ plotting/drawDualRobot.m | 51 ++++++++ plotting/drawDualRobot2D.m | 35 +++++ plotting/drawExpBaseRobot.m | 119 +++++++++++++++++ plotting/drawExpRobot.m | 130 +++++++++++++++++++ plotting/drawKukaRobot.m | 70 ++++++++++ plotting/drawManipulationObject.m | 59 +++++++++ plotting/drawMultiRobots.m | 15 +++ plotting/drawRobot7dof.m | 71 ++++++++++ plotting/main_2Drobot.m | 17 +++ plotting/main_3Drobot.m | 0 plotting/plot_gaussian_ellipsoid.m | 116 +++++++++++++++++ plotting/plotcov3.m | 96 ++++++++++++++ plotting/robot2DRedundant.gif | Bin 0 -> 1167693 bytes plotting/robotEXP.m | 25 ++++ plotting/robots/Planer3DOF.m | 16 +++ plotting/robots/Planer5DOF.m | 18 +++ plotting/robots/Spatial7DOF.m | 25 ++++ plotting/robots/YUMI_Model.m | 35 +++++ plotting/robots/kukar820_model.m | 34 +++++ 30 files changed, 1666 insertions(+) create mode 100644 plotting/.DS_Store create mode 100644 plotting/animateBaseExp.m create mode 100644 plotting/animateExp.m create mode 100644 plotting/animateMultiRobotExp.m create mode 100644 plotting/animateRobot2D.m create mode 100644 plotting/animateRobot7dof.m create mode 100644 plotting/animateRobotBase2D.m create mode 100644 plotting/animateRobotRedundant2D.m create mode 100644 plotting/draw2DBaseRobot.m create mode 100644 plotting/draw2DRobot.m create mode 100644 plotting/draw7DofRobot.m create mode 100644 plotting/drawDualRobot.m create mode 100644 plotting/drawDualRobot2D.m create mode 100644 plotting/drawExpBaseRobot.m create mode 100644 plotting/drawExpRobot.m create mode 100644 plotting/drawKukaRobot.m create mode 100644 plotting/drawManipulationObject.m create mode 100644 plotting/drawMultiRobots.m create mode 100644 plotting/drawRobot7dof.m create mode 100644 plotting/main_2Drobot.m create mode 100644 plotting/main_3Drobot.m create mode 100644 plotting/plot_gaussian_ellipsoid.m create mode 100644 plotting/plotcov3.m create mode 100644 plotting/robot2DRedundant.gif create mode 100644 plotting/robotEXP.m create mode 100644 plotting/robots/Planer3DOF.m create mode 100644 plotting/robots/Planer5DOF.m create mode 100644 plotting/robots/Spatial7DOF.m create mode 100644 plotting/robots/YUMI_Model.m create mode 100644 plotting/robots/kukar820_model.m diff --git a/plotting/.DS_Store b/plotting/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..47bb8b5eaff24cb5f3d3c3e132326c16ff391d1b GIT binary patch literal 6148 zcmeHK%TB{U3>?!+RN~ST;<&%SA4FC80zRNT0tk^dh|+s*{5E5Ii&~{zIiRuRon5ad zR^|}L0Bo^quYoy$8Ql?IzKqT9-A8s-BaRl&_`nmk?e?*I=ttS71I|6iGhXq69S-1CoM6FUl z3P^z;1^oL^=#EXrAu&E3Tw(+uP8km4K4uAG@c^-@I3zMcv!oJ}YIVf0q%&S>UQ=;M zOgbzo^EtJ$)d|I-I^!kMVNIe|DIf)o6`164?*0FU{>%J-OwvgTNP&N)fK8XT%LQMl z_SVtMd9N+>JNn+38|hr46%(Ts^Wd%c>L9Q9p7%|~Au;HT2c4)N0oO$)1^z;TZ-M animation paused...'); + else + fprintf(' resumed! \n'); + end + end + case 'r' + SIM_TIME = START_TIME; + if VERBOSE + disp('--> restarting animation'); + end + case 'uparrow' + SPEED = 2*SPEED; + if VERBOSE + fprintf('--> speed set to %3.3f x real time\n',SPEED); + end + case 'downarrow' + SPEED = SPEED/2; + if VERBOSE + fprintf('--> speed set to %3.3f x real time\n',SPEED); + end + case 'rightarrow' + timeSkip = 5*SPEED*dtReal; + SIM_TIME = SIM_TIME + timeSkip; + if VERBOSE + fprintf('--> skipping forward by %3.3f seconds\n',timeSkip); + end + case 'leftarrow' + timeSkip = 5*SPEED*dtReal; + SIM_TIME = SIM_TIME - timeSkip; + if VERBOSE + fprintf('--> skipping backward by %3.3f seconds\n',timeSkip); + end + case 'escape' + QUIT = true; + if VERBOSE + disp('--> animation aborted'); + end + otherwise + end + end + + +end %animate.m diff --git a/plotting/animateExp.m b/plotting/animateExp.m new file mode 100644 index 0000000..baec98a --- /dev/null +++ b/plotting/animateExp.m @@ -0,0 +1,179 @@ +function animateExp(t,x, robotParam, P) +%animate(t,x,P) +% +%FUNCTION: +% Animate is used to animate a system with state x at the times in t. +% +%INPUTS: +% t = [1xM] vector of times, Must be monotonic: t(k) < t(k+1) +% x = [NxM] matrix of states, corresponding to times in t +% P = animation parameter struct, with fields: +% .plotFunc = @(t,x) = function handle to create a plot +% t = a scalar time +% x = [Nx1] state vector +% .speed = scalar multiple of time, for playback speed +% .figNum = (optional) figure number for plotting. Default = 1000. +% .verbose = set to false to prevent printing details. Default = true; +% +%OUTPUTS: +% Animation based on data in t and x. +% +%NOTES: +% +% Keyboard commands during simulation: +% +% 'space' - toggle pause +% +% 'r' - reset animation +% +% 'uparrow' - go faster +% +% 'downarrow' - go slower +% +% 'rightarrow' - jump forward by 5 frames +% +% 'leftarrow' - jump backward by 5 frames +% +% 'esc' - quit animation +% +% + +if ~isfield(P,'figNum') + P.figNum=1000; %Default to figure 1000 +end +if ~isfield(P,'verbose') + P.verbose = true; +end +if ~isfield(P,'frameRate') + P.targetFrameRate = 10; +end + +% Animation call-back variables: +IS_PAUSED = false; +VERBOSE = P.verbose; +SPEED = P.speed; +QUIT = false; +START_TIME = t(1); +SIM_TIME = START_TIME; + +% Set up the figure, and attach keyboard events. +fig = figure(P.figNum); clf(fig); +fig.Position = [400 400 1080 1080]; +set(fig,'KeyPressFcn',@keyDownListener) + +tic; %Start a timer +timeBuffer(1:3) = toc; +myVideo = VideoWriter('myVideoFile','Motion JPEG AVI'); %open video file +myVideo.FrameRate = 10; %can adjust this, 5 - 10 works well for me +% open(myVideo) +filename = P.filename; +init = 0; +fkCurrentStore = []; fkDesired = []; probNow = []; + +while SIM_TIME < t(end) + init = init + 1; + clf(fig) + %Interpolate to get the new point: + xNow = interp1(t',x',SIM_TIME,'linear','extrap')'; + + %Call the plot command + feval(P.plotFunc,SIM_TIME,xNow); + drawnow; + pause(0.005); + + %Plot the current trajectory + fk = FKinSpace(robotParam.M, robotParam.Slist, xNow); + fkCurrentStore = [fkCurrentStore fk(1:3,4)]; + + for k = 1:numel(probNow) + plot3(fkCurrentStore(1,k), fkCurrentStore(2,k), fkCurrentStore(3,k), 'k.', 'MarkerSize', probNow(k)); + end + + + %Set up targets for timing + dtReal = 0.2*(timeBuffer(1) - timeBuffer(3)); + if IS_PAUSED + dtSim = 0; + else + dtSim = SPEED*dtReal; + end + SIM_TIME = SIM_TIME + dtSim; + + %Record the frame rate: + timeBuffer(3) = timeBuffer(2); + timeBuffer(2) = timeBuffer(1); + timeBuffer(1) = toc; + + frame = getframe(gcf); %get frame + im = frame2im(frame); + [imind,cm] = rgb2ind(im,256); + if (init == 1) + imwrite(imind,cm,filename,'gif', 'Loopcount',inf); + else + imwrite(imind,cm,filename,'gif','DelayTime',0, 'WriteMode','append'); + end + + + % Check exit conditions: + if QUIT + break + end + + +end + +% close(myVideo) +%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~% +% Graphics call-back functions % +%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~% + + + function keyDownListener(~,event) + switch event.Key + case 'space' + IS_PAUSED = ~IS_PAUSED; + if VERBOSE + if IS_PAUSED + fprintf('--> animation paused...'); + else + fprintf(' resumed! \n'); + end + end + case 'r' + SIM_TIME = START_TIME; + if VERBOSE + disp('--> restarting animation'); + end + case 'uparrow' + SPEED = 2*SPEED; + if VERBOSE + fprintf('--> speed set to %3.3f x real time\n',SPEED); + end + case 'downarrow' + SPEED = SPEED/2; + if VERBOSE + fprintf('--> speed set to %3.3f x real time\n',SPEED); + end + case 'rightarrow' + timeSkip = 5*SPEED*dtReal; + SIM_TIME = SIM_TIME + timeSkip; + if VERBOSE + fprintf('--> skipping forward by %3.3f seconds\n',timeSkip); + end + case 'leftarrow' + timeSkip = 5*SPEED*dtReal; + SIM_TIME = SIM_TIME - timeSkip; + if VERBOSE + fprintf('--> skipping backward by %3.3f seconds\n',timeSkip); + end + case 'escape' + QUIT = true; + if VERBOSE + disp('--> animation aborted'); + end + otherwise + end + end + + +end %animate.m diff --git a/plotting/animateMultiRobotExp.m b/plotting/animateMultiRobotExp.m new file mode 100644 index 0000000..e25939b --- /dev/null +++ b/plotting/animateMultiRobotExp.m @@ -0,0 +1,183 @@ +function animateMultiRobotExp(t, x, base, manipObject, P) +%animate(t,x,P) +% +%FUNCTION: +% Animate is used to animate a system with state x at the times in t. +% +%INPUTS: +% t = [1xM] vector of times, Must be monotonic: t(k) < t(k+1) +% x = [NxM] matrix of states, corresponding to times in t +% P = animation parameter struct, with fields: +% .plotFunc = @(t,x) = function handle to create a plot +% t = a scalar time +% x = [Nx1] state vector +% .speed = scalar multiple of time, for playback speed +% .figNum = (optional) figure number for plotting. Default = 1000. +% .verbose = set to false to prevent printing details. Default = true; +% +%OUTPUTS: +% Animation based on data in t and x. +% +%NOTES: +% +% Keyboard commands during simulation: +% +% 'space' - toggle pause +% +% 'r' - reset animation +% +% 'uparrow' - go faster +% +% 'downarrow' - go slower +% +% 'rightarrow' - jump forward by 5 frames +% +% 'leftarrow' - jump backward by 5 frames +% +% 'esc' - quit animation +% +% + +if ~isfield(P,'figNum') + P.figNum=1000; %Default to figure 1000 +end +if ~isfield(P,'verbose') + P.verbose = true; +end +if ~isfield(P,'frameRate') + P.targetFrameRate = 10; +end + +% Animation call-back variables: +IS_PAUSED = false; +VERBOSE = P.verbose; +SPEED = P.speed; +QUIT = false; +START_TIME = t(1); +SIM_TIME = START_TIME; + +% Set up the figure, and attach keyboard events. +fig = figure(P.figNum); clf(fig); +fig.Position = [400 400 1080 1080]; +set(fig,'KeyPressFcn',@keyDownListener) + +tic; %Start a timer +timeBuffer(1:3) = toc; +myVideo = VideoWriter('myVideoFile','Motion JPEG AVI'); %open video file +myVideo.FrameRate = 10; %can adjust this, 5 - 10 works well for me +% open(myVideo) +filename = P.filename; +init = 0; +n_robots = numel(x); +xNow = cell(1,2); +xBaseNow = cell(1,2); +while SIM_TIME < t(end); + init = init + 1; + clf(fig) + %Interpolate to get the new point: + for i = 1:n_robots + xNow{i} = interp1(t',x{i}',SIM_TIME,'linear','extrap')'; + + if (size(base{i},2) == 1) + xBaseNow{i} = base{i}; + else + xBaseNow{i} = interp1(t',base{i}',SIM_TIME,'linear','extrap')'; + end + end + + % manipulation object + objectNow = interp1(t',manipObject',SIM_TIME,'linear','extrap')'; + + %Call the plot command + feval(P.plotFunc,SIM_TIME,xNow,xBaseNow,objectNow); + drawnow; + pause(0.005); + + %Set up targets for timing + dtReal = 0.2*(timeBuffer(1) - timeBuffer(3)); + if IS_PAUSED + dtSim = 0; + else + dtSim = SPEED*dtReal; + end + SIM_TIME = SIM_TIME + dtSim; + + %Record the frame rate: + timeBuffer(3) = timeBuffer(2); + timeBuffer(2) = timeBuffer(1); + timeBuffer(1) = toc; + + frame = getframe(gcf); %get frame + im = frame2im(frame); + [imind,cm] = rgb2ind(im,256); + if (init == 1) + imwrite(imind,cm,filename,'gif', 'Loopcount',inf); + else + imwrite(imind,cm,filename,'gif','DelayTime',0, 'WriteMode','append'); + end +% writeVideo(myVideo, frame); + + + % Check exit conditions: + if QUIT + break + end + + +end + +% close(myVideo) +%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~% +% Graphics call-back functions % +%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~% + + + function keyDownListener(~,event) + switch event.Key + case 'space' + IS_PAUSED = ~IS_PAUSED; + if VERBOSE + if IS_PAUSED + fprintf('--> animation paused...'); + else + fprintf(' resumed! \n'); + end + end + case 'r' + SIM_TIME = START_TIME; + if VERBOSE + disp('--> restarting animation'); + end + case 'uparrow' + SPEED = 2*SPEED; + if VERBOSE + fprintf('--> speed set to %3.3f x real time\n',SPEED); + end + case 'downarrow' + SPEED = SPEED/2; + if VERBOSE + fprintf('--> speed set to %3.3f x real time\n',SPEED); + end + case 'rightarrow' + timeSkip = 5*SPEED*dtReal; + SIM_TIME = SIM_TIME + timeSkip; + if VERBOSE + fprintf('--> skipping forward by %3.3f seconds\n',timeSkip); + end + case 'leftarrow' + timeSkip = 5*SPEED*dtReal; + SIM_TIME = SIM_TIME - timeSkip; + if VERBOSE + fprintf('--> skipping backward by %3.3f seconds\n',timeSkip); + end + case 'escape' + QUIT = true; + if VERBOSE + disp('--> animation aborted'); + end + otherwise + end + end + + +end %animate.m diff --git a/plotting/animateRobot2D.m b/plotting/animateRobot2D.m new file mode 100644 index 0000000..b6881f0 --- /dev/null +++ b/plotting/animateRobot2D.m @@ -0,0 +1,27 @@ +function animateRobot2D(x, q, param) + %% animation + n = 3; + W = [0 0 0;0 0 0;1 1 1]; + param.W = W; + param.L = reshape(x(1:6), [], 3)'; + param.L = [param.L zeros(3,1)]; + param.L = param.L'; + + Base = eye(4); + + param.Base = Base; + + h = 0; + S = []; + for i = 1:n + Si = ScrewToAxis(param.L(:,i), param.W(:,i), h); + S = [S Si]; + end + param.Slist = S; + + param.M = [1 0 0 x(7);0 1 0 x(8);0 0 1 0;0 0 0 1]; + param.ndofs = n; + param.view = 2; + + draw2DRobot(q, param) +end \ No newline at end of file diff --git a/plotting/animateRobot7dof.m b/plotting/animateRobot7dof.m new file mode 100644 index 0000000..5110831 --- /dev/null +++ b/plotting/animateRobot7dof.m @@ -0,0 +1,37 @@ +function animateRobot7dof(qStore, param) + %% animation + n = 7; + W = [0 0 0 0 0 0 0; 0 -1 0 1 0 -1 0;1 0 1 0 1 0 1]; + L = [0 0 0 0 0 0 0;0 0 0 0 0 0 0;0.3600 0.3600 0.3600 0.7800 0.7800 1.1800 1.4210]; + + h = 0; + S = []; + for i = 1:7 + Si = ScrewToAxis(L(:,i), W(:,i), h); + S = [S Si]; + end + + b2 = eye(4); + b2(2,4) = -0.3; b2(1,4) = 0.1; + + Base = eye(4); + + param.Base = Base; + param.W = W; + param.L = L; + param.Slist = S; + param.M = [1 0 0 0;0 1 0 0;0 0 1 1.421;0 0 0 1]; + param.view = 3; + param.qmin = (2/3)*[-pi -pi -pi -pi -pi -pi -pi]'; + param.qmax = (2/3)*[pi pi pi pi pi pi pi]'; + + + % draw7DofRobot(q, param) + t = linspace(0,10, size(qStore,2)); + + Anim.filename = 'kukaTestTrajectories.gif'; + Anim.speed = 2; + Anim.plotFunc = @(t,q)( drawExpRobot(q,param) ); + Anim.verbose = true; + animateExp(t,qStore,Anim); +end \ No newline at end of file diff --git a/plotting/animateRobotBase2D.m b/plotting/animateRobotBase2D.m new file mode 100644 index 0000000..9323b9d --- /dev/null +++ b/plotting/animateRobotBase2D.m @@ -0,0 +1,4 @@ +function animateRobotBase2D(q, base, Td, prob, heatMap, param) + %% animation + draw2DBaseRobot(q, base, Td, prob, heatMap, param) +end \ No newline at end of file diff --git a/plotting/animateRobotRedundant2D.m b/plotting/animateRobotRedundant2D.m new file mode 100644 index 0000000..b1dd1f7 --- /dev/null +++ b/plotting/animateRobotRedundant2D.m @@ -0,0 +1,9 @@ +function animateRobotRedundant2D(q, Td, prob, param) + %% animation + Base = eye(4); + Base(3,4) = 0; + + param.Base = Base; + + draw2DRobot(q, Td, prob, param) +end \ No newline at end of file diff --git a/plotting/draw2DBaseRobot.m b/plotting/draw2DBaseRobot.m new file mode 100644 index 0000000..df0138e --- /dev/null +++ b/plotting/draw2DBaseRobot.m @@ -0,0 +1,11 @@ +function draw2DBaseRobot(q, base, Td, prob, heatMap, param) +param.view = 2; + +t = linspace(0,100,size(q,2)); + +Anim.speed = 5.25; +Anim.plotFunc = @(t,q, b)( drawExpBaseRobot(q, b, param) ); +Anim.verbose = true; +Anim.filename = 'robot2DBaseRedundant.gif'; +animateBaseExp(t, q, base, param, Td, prob, heatMap, Anim); +end \ No newline at end of file diff --git a/plotting/draw2DRobot.m b/plotting/draw2DRobot.m new file mode 100644 index 0000000..b6e1f16 --- /dev/null +++ b/plotting/draw2DRobot.m @@ -0,0 +1,13 @@ +function draw2DRobot(q, param) +% param.view = 2; + +t = linspace(0,100,size(q,2)); + +Anim.speed = 5.25; +Anim.plotFunc = @(t,q)( drawExpRobot(q, param) ); +Anim.verbose = true; +Anim.filename = 'robot2DRedundant.gif'; +animateExp(t, q, param, Anim); + + +end \ No newline at end of file diff --git a/plotting/draw7DofRobot.m b/plotting/draw7DofRobot.m new file mode 100644 index 0000000..44cf3af --- /dev/null +++ b/plotting/draw7DofRobot.m @@ -0,0 +1,70 @@ +function draw7DofRobot(q, Bases, W, L) +close all; +n = 7; + +W = [0 0 0 0 0 0 0; 0 -1 0 1 0 -1 0;1 0 1 0 1 0 1]; +L = [0 0 0 0 0 0 0;0 0 0 0 0 0 0;0.3600 0.3600 0.3600 0.7800 0.7800 1.1800 1.4210]; + +h = 0; +S = []; +for i = 1:n + Si = ScrewToAxis(L(:,i), W(:,i), h); + S = [S Si]; +end + +b2 = eye(4); +b2(2,4) = -0.3; b2(1,4) = 0.1; + +Base = eye(4); + +param.Base = Base; +param.W = W; +param.L = L; +param.Slist = S; +param.M = [1 0 0 0;0 1 0 0;0 0 1 1.421;0 0 0 1]; +param.view = 3; +param.qmin = (2/3)*[-pi -pi -pi -pi -pi -pi -pi]'; +param.qmax = (2/3)*[pi pi pi pi pi pi pi]'; + +% drawExpRobot(4*rand(7,1)-2, param) +n = size(W,2); + +nData = 100; +t = linspace(0,10,nData); + +q0 = 2*rand(7,1)-1; +T0 = FKinSpace(param.M, param.Slist, q0); +Tn = eye(4); +Tn(1,4) = 0.1; +Tn(2,4) = 0.05; +Tn(3,4) = 0.9; +cartTraj = CartesianTrajectory(T0, Tn , 10, nData, 3); +q = []; +fk_updated = zeros(3, nData); +fk_actual = zeros(3, nData); + +for i = 1:nData + q_ = IKinSpace3D(param.Slist, param.M, cartTraj{i}, q0, 0.01, 0.01, param); + % q_ = projectJointSpace(q_, param); + fk_ = FKinSpace(param.M, param.Slist, q_); + fk_actual(:,i) = cartTraj{i}(1:3,4); + fk_updated(:,i) = fk_(1:3,4); + q = [q q_]; +end + +Anim.filename = '7dof.gif'; +Anim.speed = 2; +Anim.plotFunc = @(t,q)( drawExpRobot(q,param) ); +Anim.verbose = true; +animateExp(t,q,Anim); + +hold on +plot3(fk_updated(1,:), fk_updated(2,:), fk_updated(3,:), 'r*') +plot3(fk_actual(1,:), fk_actual(2,:), fk_actual(3,:), 'k*') + +figure(2) +for i = 1:7 + plot(q(i,:)) + hold on +end +end \ No newline at end of file diff --git a/plotting/drawDualRobot.m b/plotting/drawDualRobot.m new file mode 100644 index 0000000..91ee6f4 --- /dev/null +++ b/plotting/drawDualRobot.m @@ -0,0 +1,51 @@ +function drawDualRobot(q, Bases) + close all; + n = 7; + + param = KUKA_Model(); + + nData = 100; + t = linspace(0,10,nData); + + q0 = 2*rand(7,1)-1; + T0 = FKinSpace(param.M, param.Slist, q0); + Tn = eye(4); + Tn(1,4) = 0.1; + Tn(2,4) = 0.05; + Tn(3,4) = 0.9; + cartTraj = CartesianTrajectory(T0, Tn , 10, nData, 3); + q = []; + fk_updated = zeros(3, nData); + fk_actual = zeros(3, nData); + + for i = 1:nData + q_ = IKinSpace3D(param.Slist, param.M, cartTraj{i}, q0, 0.01, 0.01, param); + % q_ = projectJointSpace(q_, param); + fk_ = FKinSpace(param.M, param.Slist, q_); + fk_actual(:,i) = cartTraj{i}(1:3,4); + fk_updated(:,i) = fk_(1:3,4); + q = [q q_]; + end + qDual = {q,q}; + T1 = eye(4); T2 = eye(4); + T1(1,4) = 0.4; + T2(1,4) = -0.4; + baseDual = {T1, T2}; + paramDual = {param, param}; + + Anim.filename = 'dual_dof.gif'; + Anim.speed = 2; + Anim.plotFunc = @(t,q)( drawMultiRobots(qDual,baseDual, paramDual) ); + Anim.verbose = true; + animateExp(t,q,Anim); + + hold on + plot3(fk_updated(1,:), fk_updated(2,:), fk_updated(3,:), 'r*') + plot3(fk_actual(1,:), fk_actual(2,:), fk_actual(3,:), 'k*') + + figure(2) + for i = 1:7 + plot(q(i,:)) + hold on + end +end \ No newline at end of file diff --git a/plotting/drawDualRobot2D.m b/plotting/drawDualRobot2D.m new file mode 100644 index 0000000..9b30238 --- /dev/null +++ b/plotting/drawDualRobot2D.m @@ -0,0 +1,35 @@ +function drawDualRobot2D() + close all; + n = 5; + + param = Planer5DOF(); + object.position = [-0.4;1.5]; + object.orientation = 0; + [t, qDual, base, objectTrajectory] = dualRobotManipulationTrajectory(object); + + baseDual = {zeros(6,1), zeros(6,1)}; + baseDual{1}(1) = -0.4; + baseDual{2}(1) = 0.4; + baseDual{1}(4:6) = rotm2eul(base{1}(1:3,1:3)); + baseDual{2}(4:6) = rotm2eul(base{2}(1:3,1:3)); + + param.view = 2; + + paramDual = {param, param, object}; + + Anim.filename = 'dual_dof.gif'; + Anim.speed = 2; + Anim.plotFunc = @(t,q,base,object)( drawMultiRobots(q, base, object, paramDual) ); + Anim.verbose = true; + animateMultiRobotExp(t,qDual,baseDual,objectTrajectory,Anim); + + % hold on + % plot3(fk_updated(1,:), fk_updated(2,:), fk_updated(3,:), 'r*') + % plot3(fk_actual(1,:), fk_actual(2,:), fk_actual(3,:), 'k*') + % + % figure(2) + % for i = 1:5 + % plot(q(i,:)) + % hold on + % end +end \ No newline at end of file diff --git a/plotting/drawExpBaseRobot.m b/plotting/drawExpBaseRobot.m new file mode 100644 index 0000000..e442655 --- /dev/null +++ b/plotting/drawExpBaseRobot.m @@ -0,0 +1,119 @@ +function drawExpBaseRobot(q, base, p) + +W = p.W; +L = p.L; +Base = eye(4); +Base(1:3, 1:3) = eul2rotm(base(4:6)'); +Base(1:3, 4) = base(1:3); + +nDoF = size(W,2); +set(gcf,'color','w'); + +% Colors: +colorGround = [118,62,12]/255; +colorStance = [200,60,60]/255; +colorAxis = [0,0,0]/255; + +% Set up the figure +hold off; +% xBnd = [-1,1] * 2.0; +% yBnd = [-1,1] * 2.0; +% zBnd = [-1,1] * 2.0; + +xBnd = [-1,1] * 2.5; +yBnd = [-1,1] * 2.5; +zBnd = [-0.5,1] * 2.4; + +% Plot the ground: +% plot(xBnd,[0,0],'LineWidth',6,'Color',colorGround); + +hold on; +T0 = Base; +x0 = T0(1:3,4); +w0 = [0 0 1]'; +L = [L;ones(1,nDoF)]; +L = T0 * L; +L = L(1:3, :); +xE = L(:,1); + + + +plot3(T0(1,4), T0(2,4), T0(3,4),'b.','MarkerSize',100); +% Plot the base +A1 = x0; +A2 = x0 - w0*0.1; +plot3([A1(1) A2(1)], [A1(2) A2(2)], [A1(3) A2(3)], 'LineWidth',15,'Color',colorGround) + +view(p.view) + +axang = [w0' q(1)]; +rotm = axang2rotm(axang); +rotmAxis = eye(3); + +% Plot the links: +plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'LineWidth',6,'Color',colorStance); + + +x0 = xE; + +for i = 2:nDoF + + w = W(:,i-1); + axang = [w' q(i-1)]; + rotm = axang2rotm(axang); + rotmAxis = rotmAxis * rotm; + + l = rotmAxis * (L(:,i)-L(:,i-1)); + xE = x0 + l; + % xC = x0 + l/2; + % plot3(xC(1), xC(2), xC(3),'k.','MarkerSize',30); + + % Plot the links: + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'LineWidth',10,'Color',colorStance); + + % Format the axis: + axis([xBnd,yBnd,zBnd]); + % axis equal; + % axis off; + + % Plot the joints: + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'k.','MarkerSize',60); + + % Plot the joint axis + A1 = x0 + rotmAxis*w*0.1; + A2 = x0 - rotmAxis*w*0.1; + plot3([A1(1) A2(1)], [A1(2) A2(2)], [A1(3) A2(3)], 'LineWidth',3,'Color',colorAxis) + + % update the parameters + x0 = xE; + + % plot the manipulability ellipsoid + J = JacobianSpace(p.Slist, q); + fk = FKinSpace(p.M, p.Slist, q); + +end + w = W(:,end); + axang = [w' q(end)]; + rotm = axang2rotm(axang); + rotmAxis = rotmAxis * rotm; + + % Plot the joint axis + A1 = x0 + rotmAxis*w*0.1; + A2 = x0 - rotmAxis*w*0.1; + plot3([A1(1) A2(1)], [A1(2) A2(2)], [A1(3) A2(3)], 'LineWidth',3,'Color',colorAxis) + + + % plot the tool length + l = rotmAxis * (T0(1:3,1:3)*p.M(1:3,4)+T0(1:3,4)-L(:,end)); + xE = x0 + l; + + % Plot the links: + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'LineWidth',10,'Color',colorStance); + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'k.','MarkerSize',40); + plot3([xE(1)], [xE(2)], [xE(3)],'s','MarkerSize',15, ... + 'MarkerFaceColor',[1 .6 .6]); + + fk = FKinSpace(p.M, p.Slist, q); + + +end \ No newline at end of file diff --git a/plotting/drawExpRobot.m b/plotting/drawExpRobot.m new file mode 100644 index 0000000..9b3452b --- /dev/null +++ b/plotting/drawExpRobot.m @@ -0,0 +1,130 @@ +function drawExpRobot(q, p) +% drawRobot(q,p) +% +% This function draws the robot with configuration q and parameters p +% +% INPUTS: +% q = [5, 1] = column vector of a single robot configuration +% p = parameter struct +% +% close all +W = p.W; +L = p.L; +Base = p.Base; +Base(3,4) = 0; + +nDoF = p.ndofs; +set(gcf,'color','w'); + +% Colors: +colorGround = [118,62,12]/255; +colorStance = [200,60,60]/255; +colorAxis = [0,0,0]/255; + +% Set up the figure +% hold off; +% xBnd = [-1,1] * 2.0; +% yBnd = [-1,1] * 2.0; +% zBnd = [-1,1] * 2.0; + +xBnd = [-1,1] * 2.5; +yBnd = [-1,1] * 2.5; +zBnd = [-1,1] * 1.4; + +% Plot the ground: +% plot(xBnd,[0,0],'LineWidth',6,'Color',colorGround); + +hold on; +T0 = Base; +x0 = T0(1:3,4); +w0 = [0 0 1]'; +L = [L;ones(1,nDoF)]; +L = Base * L; +L = L(1:3, :); +xE = L(:,1); + + + +plot3(0, 0, 0,'b.','MarkerSize',40); +% Plot the base +A1 = x0; +A2 = x0 - w0*0.1; +plot3([A1(1) A2(1)], [A1(2) A2(2)], [A1(3) A2(3)], 'LineWidth',8,'Color',colorGround) + +view(p.view) + +axang = [w0' q(1)]; +rotm = axang2rotm(axang); +rotmAxis = eye(3); + +% Plot the links: +plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'LineWidth',6,'Color',colorStance); + + +x0 = xE; + +for i = 2:nDoF + + w = W(:,i-1); + axang = [w' q(i-1)]; + rotm = axang2rotm(axang); + rotmAxis = rotmAxis * rotm; + + l = rotmAxis * (L(:,i)-L(:,i-1)); + xE = x0 + l; + % xC = x0 + l/2; + % plot3(xC(1), xC(2), xC(3),'k.','MarkerSize',30); + + % Plot the links: + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'LineWidth',10,'Color',colorStance); + + + % Format the axis: + axis([xBnd,yBnd,zBnd]); + % axis equal; + % axis off; + + % Plot the joints: + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'k.','MarkerSize',60); + + % Plot the joint axis + A1 = x0 + rotmAxis*w*0.1; + A2 = x0 - rotmAxis*w*0.1; + plot3([A1(1) A2(1)], [A1(2) A2(2)], [A1(3) A2(3)], 'LineWidth',3,'Color',colorAxis) + + + % update the parameters + x0 = xE; + + % plot the manipulability ellipsoid + J = JacobianSpace(p.Slist, q); + fk = FKinSpace(p.M, p.Slist, q); + + +end + w = W(:,end); + axang = [w' q(end)]; + rotm = axang2rotm(axang); + rotmAxis = rotmAxis * rotm; + + % Plot the joint axis + A1 = x0 + rotmAxis*w*0.1; + A2 = x0 - rotmAxis*w*0.1; + plot3([A1(1) A2(1)], [A1(2) A2(2)], [A1(3) A2(3)], 'LineWidth',3,'Color',colorAxis) + + + % plot the tool length + l = rotmAxis * (p.M(1:3,4)-L(:,end)); + xE = x0 + l; + xE(3) = xE(3); + + % Plot the links: + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'LineWidth',10,'Color',colorStance); + plot3([x0(1) xE(1)], [x0(2) xE(2)], [x0(3) xE(3)],'k.','MarkerSize',40); + plot3([xE(1)], [xE(2)], [xE(3)],'s','MarkerSize',15, ... + 'MarkerFaceColor',[1 .6 .6]); + + fk = FKinSpace(p.M, p.Slist, q); + % plot the trajectory + +end \ No newline at end of file diff --git a/plotting/drawKukaRobot.m b/plotting/drawKukaRobot.m new file mode 100644 index 0000000..a43247b --- /dev/null +++ b/plotting/drawKukaRobot.m @@ -0,0 +1,70 @@ +function drawKukaRobot(q, Bases, W, L) +close all; +n = 7; + +W = [0 0 0 0 0 0 0; 0 -1 0 1 0 -1 0;1 0 1 0 1 0 1]; +L = [0 0 0 0 0 0 0;0 0 0 0 0 0 0;0.3600 0.3600 0.3600 0.7800 0.7800 1.1800 1.4210]; + +h = 0; +S = []; +for i = 1:n + Si = ScrewToAxis(L(:,i), W(:,i), h); + S = [S Si]; +end + +b2 = eye(4); +b2(2,4) = -0.3; b2(1,4) = 0.1; + +Base = eye(4); + +param.Base = Base; +param.W = W; +param.L = L; +param.Slist = S; +param.M = [1 0 0 0;0 1 0 0;0 0 1 1.421;0 0 0 1]; +param.view = 3; +param.qmin = (2/3)*[-pi -pi -pi -pi -pi -pi -pi]'; +param.qmax = (2/3)*[pi pi pi pi pi pi pi]'; + +% drawExpRobot(4*rand(7,1)-2, param) +n = size(W,2); + +nData = 100; +t = linspace(0,10,nData); + +q0 = 2*rand(7,1)-1; +T0 = FKinSpace(param.M, param.Slist, q0); +Tn = eye(4); +Tn(1,4) = 0.1; +Tn(2,4) = 0.05; +Tn(3,4) = 0.9; +cartTraj = CartesianTrajectory(T0, Tn , 10, nData, 3); +q = []; +fk_updated = zeros(3, nData); +fk_actual = zeros(3, nData); + +for i = 1:nData + q_ = IKinSpace3D(param.Slist, param.M, cartTraj{i}, q0, 0.01, 0.01, param); + % q_ = projectJointSpace(q_, param); + fk_ = FKinSpace(param.M, param.Slist, q_); + fk_actual(:,i) = cartTraj{i}(1:3,4); + fk_updated(:,i) = fk_(1:3,4); + q = [q q_]; +end + +Anim.filename = '7dof.gif'; +Anim.speed = 2; +Anim.plotFunc = @(t,q)( drawExpRobot(q,param) ); +Anim.verbose = true; +animateExp(t,q,Anim); + +hold on +plot3(fk_updated(1,:), fk_updated(2,:), fk_updated(3,:), 'r*') +plot3(fk_actual(1,:), fk_actual(2,:), fk_actual(3,:), 'k*') + +figure(2) +for i = 1:7 + plot(q(i,:)) + hold on +end +end \ No newline at end of file diff --git a/plotting/drawManipulationObject.m b/plotting/drawManipulationObject.m new file mode 100644 index 0000000..d6a6329 --- /dev/null +++ b/plotting/drawManipulationObject.m @@ -0,0 +1,59 @@ +function drawManipulationObject(p) +% drawRobot(q,p) +% +% This function draws the robot with configuration q and parameters p +% +% INPUTS: +% q = [5, 1] = column vector of a single robot configuration +% p = parameter struct +% + +position = p(1:2); +orientation = p(3); +scale = 0.2; + +xHR = [-0.5 0.5 0.5 -0.5]/10 + scale; +yHR = [0.5 0.5 -0.5 -0.5]/10; + +xHL = [-0.5 0.5 0.5 -0.5]/10 - scale; +yHL = [0.5 0.5 -0.5 -0.5]/10; + +t = linspace(0,2*pi,50); +xy = scale * [cos(t);sin(t)]; + + +R = rotz(orientation); +xy = R(1:2,1:2) * xy + position; + +x = xy(1,:); +y = xy(2,:); +z = zeros(1,numel(t)); + +xyHR = R(1:2,1:2) * [xHR;yHR] + position; +xyHL = R(1:2,1:2) * [xHL;yHL] + position; + +set(gcf,'color','w'); + +% Colors: +colorGround = [0,0,0]/255; + +xBnd = [-1,1] * 1.4; +yBnd = [-0.25,1] * 2.5; +zBnd = [-0.0,1] * 2.4; + + +%% Plot the links: +plot3(x, y,z,'LineWidth',6,'Color',colorGround); +view(2) + +ax = gca; +hold on +patch(ax,xyHR(1,:),xyHR(2,:),'black') +patch(ax,xyHL(1,:),xyHL(2,:),'black') + +axis([xBnd,yBnd,zBnd]); + +% axis equal +% axis off + +end \ No newline at end of file diff --git a/plotting/drawMultiRobots.m b/plotting/drawMultiRobots.m new file mode 100644 index 0000000..5c3d6c8 --- /dev/null +++ b/plotting/drawMultiRobots.m @@ -0,0 +1,15 @@ +function drawMultiRobots(q, base, manipulationObject, p) + n_robots = numel(q); + for i = 1:n_robots + drawExpBaseRobot(q{i},base{i},p{i}) + end + + drawManipulationObject(manipulationObject) + + xHR = [-0.5 0.5 0.5 -0.5]; + yHR = [0.25 0.25 -0.25 -0.25]; + + ax = gca; + patch(ax,xHR,yHR,'black') + axis off +end diff --git a/plotting/drawRobot7dof.m b/plotting/drawRobot7dof.m new file mode 100644 index 0000000..08966e7 --- /dev/null +++ b/plotting/drawRobot7dof.m @@ -0,0 +1,71 @@ +function drawRobot7dof(x, param) + %% animation + close all + n = 7; + x_vec = x(1:param.ndof*6); + x_exp = reshape(x_vec,6,[])'; % + +% x_exp(6,4:6) = x_exp(5,4:6); +% x_exp(7,4:6) = x_exp(5,4:6); + + h = 0; + Slist = []; + W = []; + for i = 1:param.ndof + wi = eul2rotm(x_exp(i,1:3)) * [0 0 1]'; + qi = x_exp(i,4:6)'; + Si = ScrewToAxis(qi,wi, h); + Slist = [Slist Si]; + W = [W wi]; + end + + Base = eye(4); + + base_rot = eul2rotm(x(43:45)); + M = eye(4); + M(1:3,1:3) = base_rot; + M(1:3,4) = x(46:48); + + param.M = M; + param.Slist = Slist; + param.W = W; + param.L = x_exp(:,4:6)'; + param.Base = Base; + param.view = 3; + + nData = 100; + t = linspace(0,10,nData); + q0 = 2*rand(7,1)-1; + T0 = FKinSpace(param.M, param.Slist, q0); + + + Tn(1,4) = 0.25; + Tn(2,4) = 0.25; + Tn(3,4) = 0.9; + cartTraj = CartesianTrajectory(T0, Tn , 10, nData, 3); + q = []; + fk_updated = zeros(3, nData); + fk_actual = zeros(3, nData); + + for i = 1:nData + q_ = IKinSpace3D(param.Slist, param.M, cartTraj{i}, q0, 0.01, 0.01, param); + % q_ = projectJointSpace(q_, param); + fk_ = FKinSpace(param.M, param.Slist, q_); + fk_actual(:,i) = cartTraj{i}(1:3,4); + fk_updated(:,i) = fk_(1:3,4); + q = [q q_]; + end + hold on +% plot3(fk_updated(1,:), fk_updated(2,:), fk_updated(3,:), 'r*') +% plot3(fk_actual(1,:), fk_actual(2,:), fk_actual(3,:), 'k*') + + + % draw7DofRobot(q, param) + t = linspace(0,10, size(q,2)); + + Anim.filename = '7doftest.gif'; + Anim.speed = 2; + Anim.plotFunc = @(t,q)( drawExpRobot(q,param) ); + Anim.verbose = true; + animateExp(t,q,Anim); +end \ No newline at end of file diff --git a/plotting/main_2Drobot.m b/plotting/main_2Drobot.m new file mode 100644 index 0000000..2e4c293 --- /dev/null +++ b/plotting/main_2Drobot.m @@ -0,0 +1,17 @@ + +% robot definition +xvec = [0. 0. 0.5 0.0 1.0 0.0 1.5 0]; +[M, Slist] = robotEXP(xvec); +param.M = M; +param.Slist = Slist; +L1 = Link('d', 0, 'a', 0.5, 'alpha', 0); +param.ndof = 3; + +% joint limits +param.qmin = 1.5*[-pi/2 -pi/2 -pi/2]'; +param.qmax = 1.5*[pi/2 pi/2 pi/2]'; + +qStore = [0 0 0; pi/3 pi/4 0]'; +param.figNum = 1; + +animateRobot2D(xvec, qStore, param) diff --git a/plotting/main_3Drobot.m b/plotting/main_3Drobot.m new file mode 100644 index 0000000..e69de29 diff --git a/plotting/plot_gaussian_ellipsoid.m b/plotting/plot_gaussian_ellipsoid.m new file mode 100644 index 0000000..af0c1bb --- /dev/null +++ b/plotting/plot_gaussian_ellipsoid.m @@ -0,0 +1,116 @@ +function h = plot_gaussian_ellipsoid(m, C, sdwidth, npts, axh) +% PLOT_GAUSSIAN_ELLIPSOIDS plots 2-d and 3-d Gaussian distributions +% +% H = PLOT_GAUSSIAN_ELLIPSOIDS(M, C) plots the distribution specified by +% mean M and covariance C. The distribution is plotted as an ellipse (in +% 2-d) or an ellipsoid (in 3-d). By default, the distributions are +% plotted in the current axes. H is the graphics handle to the plotted +% ellipse or ellipsoid. +% +% PLOT_GAUSSIAN_ELLIPSOIDS(M, C, SD) uses SD as the standard deviation +% along the major and minor axes (larger SD => larger ellipse). By +% default, SD = 1. Note: +% * For 2-d distributions, SD=1.0 and SD=2.0 cover ~ 39% and 86% +% of the total probability mass, respectively. +% * For 3-d distributions, SD=1.0 and SD=2.0 cover ~ 19% and 73% +% of the total probability mass, respectively. +% +% PLOT_GAUSSIAN_ELLIPSOIDS(M, C, SD, NPTS) plots the ellipse or +% ellipsoid with a resolution of NPTS (ellipsoids are generated +% on an NPTS x NPTS mesh; see SPHERE for more details). By +% default, NPTS = 50 for ellipses, and 20 for ellipsoids. +% +% PLOT_GAUSSIAN_ELLIPSOIDS(M, C, SD, NPTS, AX) adds the plot to the +% axes specified by the axis handle AX. +% +% Examples: +% ------------------------------------------- +% % Plot three 2-d Gaussians +% figure; +% h1 = plot_gaussian_ellipsoid([1 1], [1 0.5; 0.5 1]); +% h2 = plot_gaussian_ellipsoid([2 1.5], [1 -0.7; -0.7 1]); +% h3 = plot_gaussian_ellipsoid([0 0], [1 0; 0 1]); +% set(h2,'color','r'); +% set(h3,'color','g'); +% +% % "Contour map" of a 2-d Gaussian +% figure; +% for sd = [0.3:0.4:4], +% h = plot_gaussian_ellipsoid([0 0], [1 0.8; 0.8 1], sd); +% end +% +% % Plot three 3-d Gaussians +% figure; +% h1 = plot_gaussian_ellipsoid([1 1 0], [1 0.5 0.2; 0.5 1 0.4; 0.2 0.4 1]); +% h2 = plot_gaussian_ellipsoid([1.5 1 .5], [1 -0.7 0.6; -0.7 1 0; 0.6 0 1]); +% h3 = plot_gaussian_ellipsoid([1 2 2], [0.5 0 0; 0 0.5 0; 0 0 0.5]); +% set(h2,'facealpha',0.6); +% view(129,36); set(gca,'proj','perspective'); grid on; +% grid on; axis equal; axis tight; +% ------------------------------------------- +% +% Gautam Vallabha, Sep-23-2007, Gautam.Vallabha@mathworks.com + +% Revision 1.0, Sep-23-2007 +% - File created +% Revision 1.1, 26-Sep-2007 +% - NARGOUT==0 check added. +% - Help added on NPTS for ellipsoids + +if ~exist('sdwidth', 'var'), sdwidth = 1; end +if ~exist('npts', 'var'), npts = []; end +if ~exist('axh', 'var'), axh = gca; end + +if numel(m) ~= length(m), + error('M must be a vector'); +end +if ~( all(numel(m) == size(C)) ) + error('Dimensionality of M and C must match'); +end +if ~(isscalar(axh) && ishandle(axh) && strcmp(get(axh,'type'), 'axes')) + error('Invalid axes handle'); +end + +set(axh, 'nextplot', 'add'); + +switch numel(m) + case 2, h=show2d(m(:),C,sdwidth,npts,axh); + case 3, h=show3d(m(:),C,sdwidth,npts,axh); + otherwise + error('Unsupported dimensionality'); +end + +if nargout==0, + clear h; +end + +%----------------------------- +function h = show2d(means, C, sdwidth, npts, axh) +if isempty(npts), npts=50; end +% plot the gaussian fits +tt=linspace(0,2*pi,npts)'; +x = cos(tt); y=sin(tt); +ap = [x(:) y(:)]'; +[v,d]=eig(C); +v = real(v); +d = real(d); +d = sdwidth * sqrt(d); % convert variance to sdwidth*sd +bp = (v*d*ap) + repmat(means, 1, size(ap,2)); +h = plot(bp(1,:), bp(2,:), '-', 'parent', axh, 'LineWidth',2); + +%----------------------------- +function h = show3d(means, C, sdwidth, npts, axh) +if isempty(npts), npts=20; end +[x,y,z] = sphere(npts); +ap = [x(:) y(:) z(:)]'; +[v,d]=eig(C); +if any(d(:) < 0) + fprintf('warning: negative eigenvalues\n'); + d = max(d,0); +end +d = sdwidth * sqrt(d); % convert variance to sdwidth*sd +bp = (v*d*ap) + repmat(means, 1, size(ap,2)); +xp = reshape(bp(1,:), size(x)); +yp = reshape(bp(2,:), size(y)); +zp = reshape(bp(3,:), size(z)); +h = surf(axh, xp,yp,zp); diff --git a/plotting/plotcov3.m b/plotting/plotcov3.m new file mode 100644 index 0000000..070ad87 --- /dev/null +++ b/plotting/plotcov3.m @@ -0,0 +1,96 @@ +% PLOTCOV3 - Plots a covariance ellipsoid with axes for a trivariate +% Gaussian distribution. +% +% Usage: +% [h, s] = plotcov3(mu, Sigma[, OPTIONS]); +% +% Inputs: +% mu - a 3 x 1 vector giving the mean of the distribution. +% Sigma - a 3 x 3 symmetric positive semi-definite matrix giving +% the covariance of the distribution (or the zero matrix). +% +% Options: +% 'conf' - a scalar between 0 and 1 giving the confidence +% interval (i.e., the fraction of probability mass to +% be enclosed by the ellipse); default is 0.9. +% 'num-pts' - if the value supplied is n, then (n + 1)^2 points +% to be used to plot the ellipse; default is 20. +% 'plot-opts' - a cell vector of arguments to be handed to PLOT3 +% to contol the appearance of the axes, e.g., +% {'Color', 'g', 'LineWidth', 1}; the default is {} +% 'surf-opts' - a cell vector of arguments to be handed to SURF +% to contol the appearance of the ellipsoid +% surface; a nice possibility that yields +% transparency is: {'EdgeAlpha', 0, 'FaceAlpha', +% 0.1, 'FaceColor', 'g'}; the default is {} +% +% Outputs: +% h - a vector of handles on the axis lines +% s - a handle on the ellipsoid surface object +% +% See also: PLOTCOV2 + +% Author: Mark A. Paskin (2002), (modified) +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +function [h, s] = plotcov3(mu, Sigma, draw_to_these_axes, varargin) + +if size(Sigma) ~= [3 3], error('Sigma must be a 3 by 3 matrix'); end +if length(mu) ~= 3, error('mu must be a 3 by 1 vector'); end + +[p, ... + n, ... + plot_opts, ... + surf_opts] = process_options(varargin, 'conf', 0.682,...%0.9, ... + 'num-pts', 20, ... + 'plot-opts', {}, ... + 'surf-opts', {}); +h = []; +% holding = get(draw_to_these_axes,'NextPlot') ; +if (Sigma == zeros(3, 3)) + z = mu; +else + % Compute the Mahalanobis radius of the ellipsoid that encloses + % the desired probability mass. + k = conf2mahal(p, 3); + % The axes of the covariance ellipse are given by the eigenvectors of + % the covariance matrix. Their lengths (for the ellipse with unit + % Mahalanobis radius) are given by the square roots of the + % corresponding eigenvalues. +% if (issparse(Sigma)) +% [V, D] = eigs(Sigma); +% else +% [V, D] = eig(Sigma); +% end + [U,D,V]=svd(Sigma) ; + if (any(diag(D) < 0)) + error('Invalid covariance matrix: not positive semi-definite.'); + end + % Compute the points on the surface of the ellipsoid. + t = linspace(0, 2*pi, n); + [X, Y, Z] = sphere(n); + u = [X(:)'; Y(:)'; Z(:)']; + w = (k * V * sqrt(D)) * u; + z = repmat(mu(:), [1 (n + 1)^2]) + w; + + % Plot the axes. + L = k * sqrt(diag(D)); +% h = plot3([mu(1); mu(1) + L(1) * V(1, 1)], ... +% [mu(2); mu(2) + L(1) * V(2, 1)], ... +% [mu(3); mu(3) + L(1) * V(3, 1)], plot_opts{:}); +% hold on; +% h = [h; plot3([mu(1); mu(1) + L(2) * V(1, 2)], ... +% [mu(2); mu(2) + L(2) * V(2, 2)], ... +% [mu(3); mu(3) + L(2) * V(3, 2)], plot_opts{:})]; +% h = [h; plot3([mu(1); mu(1) + L(3) * V(1, 3)], ... +% [mu(2); mu(2) + L(3) * V(2, 3)], ... +% [mu(3); mu(3) + L(3) * V(3, 3)], plot_opts{:})]; +end + +s = surf(draw_to_these_axes, reshape(z(1, :), [(n + 1) (n + 1)]), ... + reshape(z(2, :), [(n + 1) (n + 1)]), ... + reshape(z(3, :), [(n + 1) (n + 1)]), ... + surf_opts{:}); + +% if (~holding) hold off; end +% set(draw_to_these_axes,'NextPlot',holding); \ No newline at end of file diff --git a/plotting/robot2DRedundant.gif b/plotting/robot2DRedundant.gif new file mode 100644 index 0000000000000000000000000000000000000000..f5ea0b3f59e8bfd0a79cb141d3f3ac30e73b66e6 GIT binary patch literal 1167693 zcmdSfRZtwTzc27*f#U8CE$&5%ySq#AI&FdCR@~j)-CcKaDejBAySp!U`JX%I`QDlH za`KQ&9+LSblgYz(K5`1O`~sh>k-ZSF0k6#>y>n@4>G1II^70Z2h5q{Wt6x}{j*f0K zJzYXV!e#X0D#?I`7}Ve@RYGO-+U5R16Ibg@%T>U`;DU{;uRFaS6YvJw;bSe& zN*dXpXFFgam^of#uUKwSIalU5bnM!`R^_bBo;tQy=Q?85ym|(5Q>|P)y=(CpJAHid z^7ird^A89N3JwVk3y+A5ijIkmi%&>QN=`{lOV7y6%FfBn%P%M_DlRE4E3c@ms;;T6 zt8Zuoft#9JTHD$?I=j06_4M}j4-5_skBp9uPe3N8re|j7<`)*1mRDBS);Bh{ws&^- 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[tf_rbdl](https://github.com/junhyeokahn/tf_rbdl#tf_rbdl), which refactors the Python version using the package `tensorflow`. Any contribution is welcomed but the maintenance team for this library here doesn't vouch for the reliability of those projects. + +Basic plotting/animation functionality for Modern Robotics Package (MatLab) +2D example + +![](2drobot.gif) diff --git a/robot2DRedundant.gif b/robot2DRedundant.gif new file mode 100644 index 0000000000000000000000000000000000000000..f5ea0b3f59e8bfd0a79cb141d3f3ac30e73b66e6 GIT binary patch literal 1167693 zcmdSfRZtwTzc27*f#U8CE$&5%ySq#AI&FdCR@~j)-CcKaDejBAySp!U`JX%I`QDlH za`KQ&9+LSblgYz(K5`1O`~sh>k-ZSF0k6#>y>n@4>G1II^70Z2h5q{Wt6x}{j*f0K zJzYXV!e#X0D#?I`7}Ve@RYGO-+U5R16Ibg@%T>U`;DU{;uRFaS6YvJw;bSe& zN*dXpXFFgam^of#uUKwSIalU5bnM!`R^_bBo;tQy=Q?85ym|(5Q>|P)y=(CpJAHid z^7ird^A89N3JwVk3y+A5ijIkmi%&>QN=`{lOV7y6%FfBn%P%M_DlRE4E3c@ms;;T6 zt8Zuoft#9JTHD$?I=j06_4M}j4-5_skBp9uPe3N8re|j7<`)*1mRDBS);Bh{ws&^- z_74t^j!#a{&Mz*nu5WJd?jIhXo}n)QcvN!vs;o|5WISf0{;KTmK+d%>eoDub%lyMyppOol<#n|)F5lrogTHQPf;+`m_b!L_?%SyG{t 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zqWnv@XwuQL#k48pW(9zW3H05@nTOQgpKyoo>JtsYy6E>Z^?>f)R_YwuaeQs1q$}mVa506nQT2(yhVzko=0Gbu4 zTfay*JMN1-yeA+|o^SAK&)oNuAwWR3vvY6l=?4;Fcm4venzp3;oUzaSFR9fGvzeMn zi|;Ovm3sAhv)m0f?Ou_S8tC;Os`8A^bRpPB^EL>LB?+?abTgAeB5{$X;H;Z@Fo zNvSHxQzPQ=%NOF&V&fDW1KmeMLdj5j<(wbpAH#;zGGHO%+|dl(H#%#J!R5g&YWJC2 z$7W$f6{J6Xo-8L@);$WW2u~?=_;+`rg#lg_uPo}!ST=#W53f#*5Ow9dH`!?pugOM; zx=WW$_6ERf^Dad_HSbLgX27Av%3|IYWmBUya9Blzn6Jw{%;XRp4o8SR4J^aV9Kh=u zFU6j{x;MSRQ1=V1EFSQ#Yn^iSVU+b7w09Bw>@H!1G~R$j~;Hl8&8Q{H Date: Fri, 8 Oct 2021 02:26:53 -0400 Subject: [PATCH 4/6] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 81ce697..f84268f 100644 --- a/README.md +++ b/README.md @@ -29,4 +29,4 @@ Any contribution is welcomed but the maintenance team for this library here does Basic plotting/animation functionality for Modern Robotics Package (MatLab) 2D example -![](2drobot.gif) +![](2drobot.gif = 250x250) From 377d0455ce9fddbdeabd4894e751abeda7ce9587 Mon Sep 17 00:00:00 2001 From: Lasitha Wijayarathne <58080525+lasithagt@users.noreply.github.com> Date: Fri, 8 Oct 2021 02:30:13 -0400 Subject: [PATCH 5/6] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index f84268f..81ce697 100644 --- a/README.md +++ b/README.md @@ -29,4 +29,4 @@ Any contribution is welcomed but the maintenance team for this library here does Basic plotting/animation functionality for Modern Robotics Package (MatLab) 2D example -![](2drobot.gif = 250x250) +![](2drobot.gif) From 0b4a0d34d3dbac5793fccfa5a4379e63d24dfa1e Mon Sep 17 00:00:00 2001 From: Lasitha Date: Sat, 9 Oct 2021 15:02:18 -0400 Subject: [PATCH 6/6] updated readme --- 3drobot.gif | Bin 0 -> 423164 bytes README.md | 10 +++++----- 2 files changed, 5 insertions(+), 5 deletions(-) create mode 100644 3drobot.gif diff --git a/3drobot.gif b/3drobot.gif new file mode 100644 index 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zqWnv@XwuQL#k48pW(9zW3H05@nTOQgpKyoo>JtsYy6E>Z^?>f)R_YwuaeQs1q$}mVa506nQT2(yhVzko=0Gbu4 zTfay*JMN1-yeA+|o^SAK&)oNuAwWR3vvY6l=?4;Fcm4venzp3;oUzaSFR9fGvzeMn zi|;Ovm3sAhv)m0f?Ou_S8tC;Os`8A^bRpPB^EL>LB?+?abTgAeB5{$X;H;Z@Fo zNvSHxQzPQ=%NOF&V&fDW1KmeMLdj5j<(wbpAH#;zGGHO%+|dl(H#%#J!R5g&YWJC2 z$7W$f6{J6Xo-8L@);$WW2u~?=_;+`rg#lg_uPo}!ST=#W53f#*5Ow9dH`!?pugOM; zx=WW$_6ERf^Dad_HSbLgX27Av%3|IYWmBUya9Blzn6Jw{%;XRp4o8SR4J^aV9Kh=u zFU6j{x;MSRQ1=V1EFSQ#Yn^iSVU+b7w09Bw>@H!1G~R$j~;Hl8&8Q{H Date: Fri, 8 Oct 2021 02:05:21 -0400 Subject: [PATCH 2/6] documenting for plotting init --- README.md | 5 +++++ robot2DRedundant.gif | Bin 0 -> 1167693 bytes 2 files changed, 5 insertions(+) create mode 100644 robot2DRedundant.gif diff --git a/README.md b/README.md index 6e57da0..e8d0d67 100644 --- a/README.md +++ b/README.md @@ -25,3 +25,8 @@ Some libraries built on ours: * [tf_rbdl](https://github.com/junhyeokahn/tf_rbdl#tf_rbdl), which refactors the Python version using the package `tensorflow`. Any contribution is welcomed but the maintenance team for this library here doesn't vouch for the reliability of those projects. + +Basic plotting/animation functionality for Modern Robotics Package (MatLab) +2D example + +![](robot2DRedundant.gif) diff --git a/robot2DRedundant.gif b/robot2DRedundant.gif new file mode 100644 index 0000000000000000000000000000000000000000..f5ea0b3f59e8bfd0a79cb141d3f3ac30e73b66e6 GIT binary patch literal 1167693 zcmdSfRZtwTzc27*f#U8CE$&5%ySq#AI&FdCR@~j)-CcKaDejBAySp!U`JX%I`QDlH za`KQ&9+LSblgYz(K5`1O`~sh>k-ZSF0k6#>y>n@4>G1II^70Z2h5q{Wt6x}{j*f0K zJzYXV!e#X0D#?I`7}Ve@RYGO-+U5R16Ibg@%T>U`;DU{;uRFaS6YvJw;bSe& zN*dXpXFFgam^of#uUKwSIalU5bnM!`R^_bBo;tQy=Q?85ym|(5Q>|P)y=(CpJAHid z^7ird^A89N3JwVk3y+A5ijIkmi%&>QN=`{lOV7y6%FfBn%P%M_DlRE4E3c@ms;;T6 zt8Zuoft#9JTHD$?I=j06_4M}j4-5_skBp9uPe3N8re|j7<`)*1mRDBS);Bh{ws&^- z_74t^j!#a{&Mz*nu5WJd?jIhXo}n)QcvN!vs;o|5WISf0{;KTmK+d%>eoDub%lyMyppOol<#n|)F5lrogTHQPf;+`m_b!L_?%SyG{t 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