Optimal transport-based polar interpolation of directional fields

ACM Transactions on Graphics (TOG), pp. 88-13, 2019.

Cited by: 3|Views137
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Abstract:

We propose an algorithm that interpolates between vector and frame fields on triangulated surfaces, designed to complement field design methods in geometry processing and simulation. Our algorithm is based on a polar construction, leveraging a conservation law from the Hopf-Poincaré theorem to match singular points using ideas from optima...More

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