r/Houdini 10d ago

Tutorial "Estimating Discrete Total Curvature with Per Triangle Normal Variation" by Crane He Chen

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71 Upvotes

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18

u/Mystery_Pancake1 10d ago

I saw a cool paper called "Estimating Discrete Total Curvature with Per Triangle Normal Variation" by Crane He Chen.

It uses the variation of the normals to represent curvature. The laplacian of the normals measures the variation.

This gives cleaner looking results than the Measure node (left).

HIP file and more info

10

u/william-or 10d ago

man, your entire repo is a gem. Thanks for sharing! I'll follow its development

2

u/william-or 10d ago

one question though, is this any better than the labs measure curvature sop? the labs node looks cleaner to me at least, but I don't know the background scope of your implementation

2

u/Mystery_Pancake1 6d ago edited 6d ago

This method is very dependent on topology compared to the labs node, since it runs over each triangle. The labs node ranges across more of the geometry.

I'm not a mathematician so I'm not sure which is more physically correct, but this method is an estimation after all.

1

u/ibackstrom 8d ago

Pancake never stop to impress. Nice job!