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New Geometric Continuity Solution of Parametric Surfaces

Graphics 2022-08-10 v1

Abstract

This paper presents a new approach to computation of geometric continuity for parametric bi-cubic patches, based on a simple mathematical reformulation which leads to simple additional conditions to be applied in the patching computation. The paper presents an Hermite formulation of a bicubic parametric patch, but reformulations can be made also for B\'ezier and B-Spline patches as well. The presented approach is convenient for the cases when valencies of corners are different from the value 4, in general.

Keywords

Cite

@article{arxiv.2208.04729,
  title  = {New Geometric Continuity Solution of Parametric Surfaces},
  author = {Vaclav Skala},
  journal= {arXiv preprint arXiv:2208.04729},
  year   = {2022}
}
R2 v1 2026-06-25T01:35:46.157Z