find the inflection point of a curve 3D (set of nodes) in matlab

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Alberto Acri 2024-6-3

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https://ww2.mathworks.cn/matlabcentral/answers/2124901-find-the-inflection-point-of-a-curve-3d-set-of-nodes-in-matlab

编辑： Matt J 2024-6-4

采纳的回答： Matt J

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How can I determine the inflection point of a set of nodes generating a curve in 3D space?

load curve_1.mat

curve_x = curve_1;

figure

plot3(curve_x(:,1),curve_x(:,2),curve_x(:,3),'k.','Markersize',10)

hold on

plot3(curve_x(:,1),curve_x(:,2),curve_x(:,3),'-r','LineWidth',2)

hold off

grid off

axis equal

Before determining the inflection points, is it possible to make the curve ‘curve_x’ smoother (more like a curve) since the nodes are not placed at a certain distance from each other?

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Matt J 2024-6-3

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2124901-find-the-inflection-point-of-a-curve-3d-set-of-nodes-in-matlab#answer_1466681

You can use csaps to fit a smoothing spline to the points and then fnder to differentiate the curve and observe curvature changes.

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Alberto Acri 2024-6-4

Thank you but I could not find a solution. Isn't there a code I can try to use for this case?

Matt J 2024-6-4

编辑：Matt J 2024-6-4

There is the curvature() command in this FEX submission, but I have never used it:

https://www.mathworks.com/matlabcentral/fileexchange/69452-curvature-of-a-1d-curve-in-a-2d-or-3d-space?s_tid=srchtitle

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AI and Statistics Curve Fitting Toolbox Splines Spline Postprocessing

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R2021b

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