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Construction of Manifolds via Compatible Sparse Representations by Ruimin Wang; Ligang Liu; Zhouwang Yang; Kang Wang; Wen Shan; Jiansong Deng; Falai Chen is a Computer Science article available to read on EtoBox.

What is Construction of Manifolds via Compatible Sparse Representations about?

Manifold is an important technique to model geometric objects with arbitrary topology. In this article, we propose a novel approach for constructing manifolds from discrete meshes based on sparse optimization. The local geometry for each chart is sparsely represented by a set of redundant atom functions, which have the flexibility to represent various geometries with varying smoothness. A global optimization is then proposed to guarantee compatible sparse representations in the overlapping regions of different charts. Our method can construct manifolds of varying smoothness including sharp features (creases, darts, or cusps). As an application, we can easily construct a skinning manifold surface from a given curve network. Examples show that our approach has much flexibility to generate manifold surfaces with good quality.

Who reads Construction of Manifolds via Compatible Sparse Representations?

Author

Ruimin Wang; Ligang Liu; Zhouwang Yang; Kang Wang; Wen Shan; Jiansong Deng; Falai Chen

Publisher

ACM

Published

2016

Language

EN

Field

Computer Science (Physical Sciences)