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首页> 外文期刊>Pattern Analysis and Machine Intelligence, IEEE Transactions on >Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multiview Reconstruction
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Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multiview Reconstruction

机译：用于表面演化，变形和多视图重构的拓扑自适应网格变形

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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 propose a mesh evolution framework based on this algorithm. Numerous shape modeling 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 modeling, 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 several challenging applications: surface morphing and 3D reconstruction.
机译：三角网格已成为无处不在的离散表面表示。在本文中，我们解决了如何在表面经受可能引起拓扑变化的强烈变形的同时保持其流形特性的问题。我们介绍了一种新的自交集去除算法TransforMesh，并提出了基于该算法的网格演化框架。许多形状建模应用程序使用表面演变来改善形状属性，例如外观或准确性。为此，可以考虑使用显式表示和隐式表示。但是，尽管可以进行精确的曲面建模，但显式的网格表示形式却存在固有的困难，即难以可靠地处理自相交和拓扑更改（例如合并和拆分）。结果，大多数方法依靠自然地克服这些问题的表面的隐式表示，例如水平集。然而，这些方法基于体积离散化，这引入了不必要的精度-复杂度折衷。我们提出的方法以健壮的方式处理拓扑变化并消除了自相交，从而克服了基于网格的方法的传统局限性。为了说明TransforMesh的有效性，我们描述了几种具有挑战性的应用程序：表面变形和3D重建。

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