Hi community, I’m wondering if there are any tools (usable via code) in GH to get the cotangent matrix. Could you please give me some guidance? I saw it on wikipedia (the L in the pictured formula): Discrete Laplace operator In mathematics, the discrete Laplace operator is an analog of …

I know that for a 2D matrix, there are existing functions in languages like python (applying filters or shifting entire matrices) that gets laplacians for all vertices altogether–and they are a lot faster than getting laplacian vertex-by-vertex. I’m hoping to get one of these for mesh

It’s not a hugely complex calculation, so even for fairly large meshes shouldn’t be too slow to do like this: [image] Discrete Laplacian Grasshopper I presume you are referring to the cotan weighting option for the Laplacian smoothing force in the old version of Kangaroo. …

[image] Gears Gears: iterating this over vertices seems very slow I use the function linked by Daniel on quite a lot of number of iterations ant it is quite fast. [image] Tween curves on mesh using Nautilus plugin Grasshopper Combination of various tools…

Thanks so much for your help Daniel! The code you kindly share has helped me so many projects, and putting in work to understand your detailed explanations taught me a lot. I found the cotangent laplacian code from PyTorch3D and implemented a Numpy version below. :thinking: :question: A big questi…

Thanks a lot for your help Laurent! I agree that saving results from heavy computations to avoid re-doing them is super helpful. If I understand correctly, the L matrix does something similar by incorporating the topology. I learnt one way to do it in python (see code in above message)

This code-related question was fixed!

Cotangent matrix

Grasshopper

DanielPiker (Daniel Piker) March 21, 2024, 10:12pm 3

It’s not a hugely complex calculation, so even for fairly large meshes shouldn’t be too slow to do like this:

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Cotangent matrix

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