Journal Article10.1007/S00371-002-0181-Z
Dynamic Mesh Optimization for Polygonized Implicit Surfaces with Sharp Features
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TL;DR: A novel approach for accurate polygonization of implicit surfaces with sharp features based on mesh evolution towards a given implicit surface with simultaneous control of the mesh vertex positions and mesh normals is presented.
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Abstract: The paper presents a novel approach for accurate polygonization of implicit surfaces with sharp features. The approach is based on mesh evolution towards a given implicit surface with simultaneous control of the mesh vertex positions and mesh normals. Given an initial polygonization of an implicit surface, a mesh evolution process initialized by the polygonization is used. The evolving mesh converges to a limit mesh which delivers a high quality approximation of the implicit surface. For analyzing how close the evolving mesh approachesthe implicit surface we use two error metrics. The metrics measure deviations of the mesh vertices from the implicit surface and deviations of mesh normals from the normals of the implicit surface.
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Citations
Variational shape approximation
David Cohen-Steiner,Pierre Alliez,Mathieu Desbrun +2 more
- 01 Aug 2004
TL;DR: A novel and versatile framework for geometric approximation of surfaces is presented, casting shape approximation as a variational geometric partitioning problem and using the concept of geometric proxies to drive the distortion error down through repeated clustering of faces into best-fitting regions.
Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multiview Reconstruction
TL;DR: The problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological changes is addressed, and a new self-intersection removal algorithm, TransforMesh, is introduced and a mesh evolution framework based on this algorithm is proposed.
SMI 2012: Full Progressive encoding and compression of surfaces generated from point cloud data
TL;DR: A new algorithm for compressing surfaces created from oriented points, sampled using a laser range scanner or created from polygonal surfaces is presented, providing a progressive encoding technique that encodes the octree structure as well as the plane equations.
31
Incremental reconstruction of sharp edges on mesh surfaces
TL;DR: An incremental approach for recovering sharp edges on an insensitive sampled triangular mesh is presented in this paper, so that shape approximation errors are greatly reduced.
29
Direct extraction of surface meshes from implicitly represented heterogeneous volumes
TL;DR: This approach can directly convert implicitly represented heterogeneous objects into a surface model separating homogeneous material regions, where every homogeneous region in a heterogeneous structure is enclosed by a set of two-manifold surface meshes.
25
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