arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2012.05536cs.CVcs.GR

Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multi-View Reconstruction

INRIA Grenoble Rhône-Alpes(法国国立信息学与自动化研究院格勒诺布尔罗讷-阿尔卑斯分院)

Andrei Zaharescu, Edmond Boyer, Radu Horaud

英文摘要:

Triangulated meshes have become ubiquitous discrete-surface representations. In this paper we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological changes. We introduce a new self-intersection removal algorithm, TransforMesh, and we propose a mesh evolution framework based on this algorithm. Numerous shape modelling applications use surface evolution in order to improve shape properties, such as appearance or accuracy. Both explicit and implicit representations can be considered for that purpose. However, explicit mesh representations, while allowing for accurate surface modelling, suffer from the inherent difficulty of reliably dealing with self-intersections and topological changes such as merges and splits. As a consequence, a majority of methods rely on implicit representations of surfaces, e.g. level-sets, that naturally overcome these issues. Nevertheless, these methods are based on volumetric discretizations, which introduce an unwanted precision-complexity trade-off. The method that we propose handles topological changes in a robust manner and removes self intersections, thus overcoming the traditional limitations of mesh-based approaches. To illustrate the effectiveness of TransforMesh, we describe two challenging applications, namely surface morphing and 3-D reconstruction.

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