Computationally efficient transfinite patches with fullness control
Graphics
2020-02-27 v1 Computational Geometry
Abstract
Transfinite patches provide a simple and elegant solution to the problem of representing non-four-sided continuous surfaces, which are useful in a variety of applications, such as curve network based design. Real-time responsiveness is essential in this context, and thus reducing the computation cost is an important concern. The Midpoint Coons (MC) patch presented in this paper is a fusion of two previous transfinite schemes, combining the speed of one with the superior control mechanism of the other. This is achieved using a new constrained parameterization based on generalized barycentric coordinates and transfinite blending functions.
Cite
@article{arxiv.2002.11212,
title = {Computationally efficient transfinite patches with fullness control},
author = {Péter Salvi and István Kovács and Tamás Várady},
journal= {arXiv preprint arXiv:2002.11212},
year = {2020}
}