# Polyhedral design with blended n-sided interpolants

arXiv: https://arxiv.org/abs/2601.19322 · HTML: https://mlsanity.com/paper/2601.19322/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Jan 2026.

## Built on by (most cited first, 1 of 1)

- [Blended Chart Surfaces: A Seamless Explicit Representation for Smooth Surface Fitting](https://mlsanity.com/paper/2606.18069/) (2026)

## Abstract (arXiv)

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.