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TransforMesh: A Topology-Adaptive Mesh-Based Approach to Surface Evolution

机译:转型:基于拓扑的基于网格的表面演化方法

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Most of the algorithms dealing with image based 3-D reconstruction involve the evolution of a surface based on a minimization criterion. The mesh parametrization, while allowing for an accurate surface representation, suffers from the inherent problems of not being able to reliably deal with self-intersections and topology changes. As a consequence, an important number of methods choose implicit representations of surfaces, e.g. level set methods, that naturally handle topology changes and intersections. Nevertheless, these methods rely on space discretizations, which introduce an unwanted precision-complexity trade-off. In this paper we explore a new mesh-based solution that robustly handles topology changes and removes self intersections, therefore overcoming the traditional limitations of this type of approaches. To demonstrate its efficiency, we present results on 3-D surface reconstruction from multiple images and compare them with state-of-the art results.
机译:处理基于图像的3-D重建的大多数算法涉及基于最小化标准的表面的演变。网格参数化,同时允许准确的表面表示,遭受了无法可靠地处理自交叉和拓扑变化的固有问题。结果,重要的方法选择了表面的隐式表示,例如,级别设置方法,自然地处理拓扑变化和交叉点。尽管如此,这些方法依赖于空间离散化,这引入了不需要的精密复杂性权衡。在本文中,我们探讨了一种新的基于网格的解决方案,鲁布布利地处理拓扑变化并消除自交叉口,因此克服了这种类型方法的传统局限性。为了展示其效率,我们呈现出从多个图像的3-D表面重建的结果,并将它们与最先进的结果进行比较。

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