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arXiv · 2002.11212

Computationally efficient transfinite patches with fullness control

Péter Salvi·István Kovács·Tamás Várady
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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.

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Péter Salvi, István Kovács, Tamás Várady. 2020-02-25. Computationally efficient transfinite patches with fullness control. https://arxiv.org/abs/2002.11212

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