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License: MIT License
Auto-differentiable and hardware-accelerated force density method
License: MIT License
It is often the case that a constrained form found structure will meet the required goals and constraints, but its appearances is jagged or rugged.
A NetworkXYZLaplacian
goal can help smoothen the shape of a constrained form found solution.
Some works in the literature have illustrated the potential of the laplacian energy of the xyz coordinates of a network as an optimization regularizer, like Mark Tams's and Kenryo Takahashi's.
See here for a COMPAS implementation of the graph laplacian.
The laplacian energy of the XYZ coordinates of a mesh is
x^TLx
Where x are the xyz coordinates of the mesh and L is the Laplacian of the network.
This equation is general, and x can be replaced by any other nodal quantity of interest.
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