High-Quality Cage Generation Based on SDF
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Cages are widely used in various applications of computer graphics, including physically-based rendering, shape deformation, physical simulation, etc. Given an input shape, we present an efficient and robust method for the automatic construction of high quality cage. Our method follows the envelope-and-simplify paradigm. In the enveloping stage, an isosurface enclosing the model is extracted from the signed distance field (SDF) of the shape. By leveraging the versatility of SDF, we propose a straightforward modification to SDF that enables the resulting isosurface to have better topological structure and capture the details of the shape well. In the simplification stage, we use the quadric error metric to simplify the isosurface and construct a cage, while rigorously ensuring the cage remains enclosing and does not self-intersect. We propose to further optimize various qualities of the cage for different applications, including distance to the original mesh and meshing quality. The cage generated by our method is guaranteed to be strictly enclosing the input shape, free of self-intersection, has the user-specified complexity and provides a good approximation to the input, as required by various applications. Through extensive experiments, we demonstrate that our method is robust and efficient for a wide variety of shapes with complex geometry and topology.
Description
CCS Concepts: Computing methodologies → Computer graphics; Mesh models
@inproceedings{10.2312:pg.20241312,
booktitle = {Pacific Graphics Conference Papers and Posters},
editor = {Chen, Renjie and Ritschel, Tobias and Whiting, Emily},
title = {{High-Quality Cage Generation Based on SDF}},
author = {Qiu, Hao and Liao, Wentao and Chen, Renjie},
year = {2024},
publisher = {The Eurographics Association},
ISBN = {978-3-03868-250-9},
DOI = {10.2312/pg.20241312}
}