A Surface Subdivision Scheme Based on Four-Directional S^1_3 Non-Box Splines
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Date
2023
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Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
In this paper, we propose a novel surface subdivision scheme called non-box subdivision, which is generalized from fourdirectional S13 on-box splines. The resulting subdivision surfaces achieve C1 continuity with the convex hull property. This scheme can be regarded as either a four-directional subdivision or a special quadrilateral subdivision. When used as a quadrilateral subdivision, the proposed scheme can control the shape of the limit surface more flexibly than traditional schemes due to the natural introduction of auxiliary face control vertices.
Description
CCS Concepts: Computing methodologies -> Shape modeling
@article{10.1111:cgf.14933,
journal = {Computer Graphics Forum},
title = {{A Surface Subdivision Scheme Based on Four-Directional S^1_3 Non-Box Splines}},
author = {Huang, Zhangjin},
year = {2023},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.14933}
}