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Treffer: ℓ1-Based Construction of Polycube Maps from Complex Shapes

Title:
ℓ1-Based Construction of Polycube Maps from Complex Shapes
Source:
ACM transactions on graphics. 33(3)
Publisher Information:
New York, NY: Association for Computing Machinery, 2014.
Publication Year:
2014
Physical Description:
print, 3/4 p
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Intelligence artificielle, Artificial intelligence, Reconnaissance des formes. Traitement numérique des images. Géométrie algorithmique, Pattern recognition. Digital image processing. Computational geometry, Calcul variationnel, Variational calculus, Cálculo de variaciones, Contrôlabilité, Controllability, Controlabilidad, Efficacité, Efficiency, Eficacia, Forme complexe, Complex shape, Forma compleja, Génération automatique maille, Automatic mesh generation, Generación automática red, Géométrie algorithmique, Computational geometry, Geometría computacional, Infographie, Computer graphics, Gráfico computadora, Minimisation, Minimization, Minimización, Modélisation, Modeling, Modelización, Optimisation, Optimization, Optimización, Polyèdre, Polyhedron, Poliedro, Quadrangulation, Cuadrangulación, Robustesse, Robustness, Robustez, Synthèse image, Image synthesis, Síntesis imagen, Texture, Textura, Vision ordinateur, Computer vision, Visión ordenador, Génération maille, Mesh generation, Generación red, Interpolation de forme, Image morphing, Morphing de imagenes, Algorithms, Polycube map generation, Theory, sparse normal field, ℓ1 optimization
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Zhejiang University, China
Michigan State University, United States
Caltech, United States
ISSN:
0730-0301
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.28689056
Database:
PASCAL Archive

Weitere Informationen

Polycube maps of triangle meshes have proved useful in a wide range of applications, including texture mapping and hexahedral mesh generation. However, constructing either fully automatically or with limited user control a low-distortion polycube from a detailed surface remains challenging in practice. We propose a variational method for deforming an input triangle mesh into a polycube shape through minimization of the ℓ1-norm of the mesh normals, regularized via an as-rigid-as-possible volumetric distortion energy. Unlike previous work, our approach makes no assumption on the orientation, or on the presence of features in the input model. User-guided control over the resulting polycube map is also offered to increase design flexibility. We demonstrate the robustness, efficiency, and controllability of our method on a variety of examples, and explore applications in hexahedral remeshing and quadrangulation.