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arXiv · 2601.19322

Polyhedral design with blended $n$-sided interpolants

Péter Salvi
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Abstract

A new parametric surface representation is proposed that interpolates the vertices of a given closed mesh of arbitrary topology. Smoothly connecting quadrilateral patches are created by blending local, multi-sided quadratic interpolants. In the non-four-sided case, this requires a special parameterization technique involving rational curves. Appropriate handling of triangular subpatches and alternative subpatch representations are also discussed.

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Péter Salvi. 2026-01-27. Polyhedral design with blended $n$-sided interpolants. https://arxiv.org/abs/2601.19322

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