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Curvatures estimation on triangular mesh

Journal of Zhejiang University-SCIENCE A, 2005
Given a triangular approximation of a smooth surface, the authors propose a method to estimate the normal and principal curvatures of the surface. The method proposed is claimed to be more accurate than previously available ones.
Dong, Chenshi, Wang, Guozhao
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Does contraction preserve triangular meshes?

Numerical Algorithms, 1996
A triangular graph is a planar graph in which each face is a triangle, except possibly for the exterior face, and without articulation nodes. The embedding of a triangular graph in the plane is called a triangular mesh. The paper gives a necessary and sufficient condition saying for which graphs triangularity is preserved after some edge contraction.
Ciarlet, P. jun., Lamour, F.
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Delaunay Triangular Meshes in Convex Polygons

SIAM Journal on Scientific and Statistical Computing, 1986
Es wird ein Algorithmus vorgestellt, der eine Triangularisierung eines gegebenen konvexen Polygons P erzeugt (dies ist ein Teilschritt für die Finite-Element-Triangularisierung eines komplexen polygonalen Bereichs). Im Inneren von P entsteht ein quasi-gleichmäßiges Dreiecksgitter der Größe h, die auf dem Rand von P liegenden Dreiecksseiten haben auf ...
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Pixel2Mesh: Generating 3D Mesh Models from Single RGB Images

European Conference on Computer Vision, 2018
We propose an end-to-end deep learning architecture that produces a 3D shape in triangular mesh from a single color image. Limited by the nature of deep neural network, previous methods usually represent a 3D shape in volume or point cloud, and it is non-
Nanyang Wang   +5 more
semanticscholar   +1 more source

TRIDIF, A triangular mesh diffusion code

Journal of Computational Physics, 1981
Abstract A triangular mesh finite difference code designed to study time-dependent magnetic diffusion and eddy current problems is described. TRIDIF is an extension of an existing widely used steady-state magnet design code entitled PANDIRA. The modifications required for the standard PANDIRA difference equations are presented. Sample results include
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Directional Smoothing of Triangular Meshes

International Conference on Computer Graphics, Imaging and Visualization (CGIV'05), 2005
In this paper, we propose a so-called directional smoothing method based mean curvature flow. The selection of the diffusion direction is based on the descent of some energy functional. We show that the directional diffusion flow is volume-preserving.
null Huanxi Zhao, null Guoliang Xu
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Metamorphosis of arbitrary triangular meshes

IEEE Computer Graphics and Applications, 2000
Three-dimensional metamorphosis (or morphing) establishes a smooth transition from a source object to a target object. The primary issue in 3D metamorphosis is to establish surface correspondence between the source and target objects, by which each point on the surface of the source object maps to a point on the surface of the target object.
T. Kanai, H. Suzuki, F. Kimura
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TreeMeshGPT: Artistic Mesh Generation with Autoregressive Tree Sequencing

Computer Vision and Pattern Recognition
We introduce TreeMeshGPT, an autoregressive Transformer designed to generate high-quality artistic meshes aligned with input point clouds. Instead of the conventional next-token prediction in autoregressive Transformer, we propose a novel Autoregressive ...
Stefan Lionar, Jiabin Liang, Gim Hee Lee
semanticscholar   +1 more source

SOLUTION-BASED MESH QUALITY INDICATORS FOR TRIANGULAR AND TETRAHEDRAL MESHES

International Journal of Computational Geometry & Applications, 2000
A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based both on geometrical and solution information and is derived by considering the error when linear triangular and tetrahedral elements are used to approximate a quadratic function.
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EdgeRunner: Auto-regressive Auto-encoder for Artistic Mesh Generation

International Conference on Learning Representations
Current auto-regressive mesh generation methods suffer from issues such as incompleteness, insufficient detail, and poor generalization. In this paper, we propose an Auto-regressive Auto-encoder (ArAE) model capable of generating high-quality 3D meshes ...
Jiaxiang Tang   +6 more
semanticscholar   +1 more source

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