Surface remeshing by local hermite diffuse interpolation

Rassineux, A.; Villon, P.; Savignat, J.‐M.; Stab, O.

doi:10.1002/1097-0207(20000910/20)49:1/2<31::aid-nme921>3.3.co;2-y

Cited by 18 publications

(17 citation statements)

References 14 publications

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“…In this section, quadratic approximation consistency is achieved through a diffuse Hermite-NEM interpolation [22], by using natural neighbour weights in the moving least square approximation. Compared to standard moving least square method, the minimization is performed both with respect to the primary variable, and the diffuse spatial derivatives.…”

Section: Hermite-nem Approximationmentioning

confidence: 99%

Bubble and Hermite Natural Element Approximations

Yvonnet¹,

Villon

Chinesta

2007

Lecture Notes in Computational Science and Engineering

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Summary. In this paper, new natural element approximations are proposed, in order to address issues associated with incompressibility as well as to increase the accuracy in the Natural Element Method (NEM). The NEM exhibits attractive features such as interpolant shape functions or auto-adaptive domain of influence, which alleviates some of the most common difficulties in meshless methods. Nevertheless, the shape functions can only reproduce linear polynomials, and in contrast to moving least squares methods, it is not easy to define interpolations with arbitrary approximation consistency. In order to treat mechanical models involving incompressible media in the framework of mixed formulations, the associated functional approximations must satisfy the well known inf-sup, or LBB condition. The first proposed approach constructs richer NEM approximation schemes by means of bubbles associated with the topological entities of the underlying Delaunay tessellation, allowing to pass the LBB and to remove pressure oscillations in the incompressible limit. Despite of its simplicity, this approach does not construct approximation with higher order consistency. The second part of the paper deals with a discussion on the construction of second-order accurate NEM approximations. For this purpose, two techniques are investigated : (a) the enrichment in the MLS framework of the bubbles with higher-order polynomials and (b) the use of a new Hermite-NEM formulation.

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Section: Hermite-nem Approximationmentioning

confidence: 99%

Bubble and Hermite Natural Element Approximations

Yvonnet¹,

Villon

Chinesta

2007

Lecture Notes in Computational Science and Engineering

Self Cite

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“…In addition, techniques to find a global parameterization require considerable additional computation [1,2]. Another approach considers a series of local modification on the mesh, which also requires a high computation cost for optimizations [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Novel irregular mesh tagging algorithm for wound synthesis on a 3D face

Lee

Chin

2015

BME

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Abstract.Recently, advanced visualizing techniques in computer graphics have considerably enhanced the visual appearance of synthetic models. To realize enhanced visual graphics for synthetic medical effects, the first step followed by rendering techniques involves attaching albedo textures to the region where a certain graphic is to be rendered. For instance, in order to render wound textures efficiently, the first step is to recognize the area where the user wants to attach a wound. However, in general, face indices are not stored in sequential order, which makes sub-texturing difficult. In this paper, we present a novel mesh tagging algorithm that utilizes a task for mesh traversals and level extension in the general case of a wound sub-texture mapping and a selected region deformation in a three-dimensional (3D) model. This method works automatically on both regular and irregular mesh surfaces. The approach consists of mesh selection (MS), mesh leveling (ML), and mesh tagging (MT). To validate our approach, we performed experiments for synthesizing wounds on a 3D face model and on a simulated mesh.

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“…[20,8]) or utilizing the parameterization [13,19]. The goal of parameterization is to project surface meshes onto a 2-D plane.…”

Section: Introductionmentioning

confidence: 99%

Preparation of Control Space for Remeshing of Polygonal Surfaces

Jurczyk¹,

Głut²

2013

csci

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The subject of the article concerns the issues of remeshing, transforming a polygonal mesh into a triangular mesh adapted to its surface. From the initial polygonal mesh, the curvature of surface and boundary is retrieved and used to calculate a metric tensor varying in three-dimensional space. In the proposed approach, the curvature is computed using local approximation of surfaces and curves on the basis of vertices of the polygonal mesh. An essential part of the presented remeshing procedure is a creation of a control space structure based on the retrieved discrete data. The subsequent process of remeshing is then supervised by the contents of this auxiliary structure. The article presents various aspects related to the procedure of initialization, creation, and adjustment of the control space structure.

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Surface remeshing by local hermite diffuse interpolation

Cited by 18 publications

References 14 publications

Bubble and Hermite Natural Element Approximations

Bubble and Hermite Natural Element Approximations

Novel irregular mesh tagging algorithm for wound synthesis on a 3D face

Preparation of Control Space for Remeshing of Polygonal Surfaces

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