Variable Resolution 4‐<i>k</i> Meshes: Concepts and Applications

Velho, Luiz; Gomes, Jonas

doi:10.1111/1467-8659.00457

Cited by 62 publications

(31 citation statements)

References 25 publications

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“…. , M k ), with increasing resolution, i.e., the mesh sizes, |M i | ≤ |M j |, for i < j and the meshes M i ∈ H are equivalent triangulations of a surface S. When a multiresolution mesh structure allows the resolution of the mesh to vary locally over the surface, it produces a variable-resolution triangulation [16]. The key to build mesh structures with this property is the ability to perform local refinement and simplification operations on the mesh.…”

Section: B Adaptive Multiresolution Meshesmentioning

confidence: 99%

Sketch-Based Adaptive Mesh Augmentation Using Stellar Operators

Paiva¹,

Amorim²,

Velho

et al. 2011

2011 24th SIBGRAPI Conference on Graphics, Patterns and Images

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Fig. 1. Overview of our modeling framework: The sketching stage allows the graphic designer to place feature curves (red stroke) on the surface of the mesh (left); The adaptive mesh refinement stage increases the mesh resolution around the features (middle); Finally, the feature creation displaces vertices to create a surficial feature (right).Abstract-In this paper we present a new method for modeling and editing surface detail using free-form curves and a natural interface. It combines in a original way an adaptive multiresolution mesh structure with a simple, intuitive sketch-based interface. One of the novel contributions of this work is the curve sensitive mesh resolution control, which allows the definition of a rich set of operators that locally modify the surface geometry. Furthermore, the present framework provides the basic functionality to build a complete feature based modeling system.

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Section: B Adaptive Multiresolution Meshesmentioning

confidence: 99%

Sketch-Based Adaptive Mesh Augmentation Using Stellar Operators

Paiva¹,

Amorim²,

Velho

et al. 2011

2011 24th SIBGRAPI Conference on Graphics, Patterns and Images

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“…Progressive meshes (Hoppe, 1996) and binary multi-triangulations (Velho and Gomes, 2000) are examples of hierarchical data structures that can be built with these operators.…”

Section: Algorithm 5 Stellar Simplification Assign Quadrics To Verticmentioning

confidence: 99%

Topological mesh operators

Lewiner

Lopes

Medeiros

et al. 2010

Computer Aided Geometric Design

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In this paper we introduce an unified framework for topological manipulation on triangulated 2-manifolds with or without boundary. We show that there are two kinds of primitive operators on the underlying meshes: operators that change the topological characteristic of the mesh and operators that just modify its combinatorial structure. We present such operators and demonstrate that they provide a complete and coherent set of elementary operations for mesh construction and editing.

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“…These schemes serve as the foundation of mesh adaptation frameworks, such as progressive meshes [15] and 4-K meshes [23].…”

Section: Related Workmentioning

confidence: 99%