Efficient Cone Singularity Construction for Conformal Parameterizations
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Published:2023-12-05
Issue:6
Volume:42
Page:1-13
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ISSN:0730-0301
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Container-title:ACM Transactions on Graphics
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language:en
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Short-container-title:ACM Trans. Graph.
Author:
Li Mo1ORCID,
Fang Qing1ORCID,
Zhang Zheng1ORCID,
Liu Ligang1ORCID,
Fu Xiao-Ming1ORCID
Affiliation:
1. University of Science and Technology of China, China
Abstract
We propose an efficient method to construct sparse cone singularities under distortion-bounded constraints for conformal parameterizations. Central to our algorithm is using the technique of shape derivatives to move cones for distortion reduction without changing the number of cones. In particular, the supernodal sparse Cholesky update significantly accelerates this movement process. To satisfy the distortion-bounded constraint, we alternately move cones and add cones. The capability and feasibility of our approach are demonstrated over a data set containing 3885 models. Compared with the state-of-the-art method, we achieve an average acceleration of 15 times and slightly fewer cones for the same amount of distortion.
Funder
National Natural Science Foundation of China
National Key R&D Program of China
Major Project of Science and Technology of Anhui Province
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design
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