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cs.CG2026
Differentiable Approximations for Distance Queries
Ahmed Abdelkader, David M. Mount
The widespread use of gradient-based optimization has motivated the adaptation of various classical algorithms into differentiable solvers compatible with learning pipelines. In th…
cs.CG2026
Convex Approximation and the Hilbert Geometry
Ahmed Abdelkader, David M. Mount
The efficient representation of convex bodies in multi-dimensional spaces is a fundamental problem in computational geometry. Several key developments were recently brought about u…
cs.CG2026
Cauchy's Surface Area Formula in the Funk Geometry
Sunil Arya, David M. Mount
Cauchy's surface area formula expresses the surface area of a convex body as the average area of its orthogonal projections over all directions. While this tool is fundamental in E…