Gauss Stylization: Interactive Artistic Mesh Modeling based on Preferred Surface Normals

Extending the ARAP energy with a term that depends on the face normal, energy minimization becomes an effective stylization tool for shapes represented as meshes. Our approach generalizes the possibilities of Cubic Stylization: the set of preferred normals can be chosen arbitrarily from the Gauss sp...

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Bibliographic Details
Published in:Computer graphics forum Vol. 40; no. 5; pp. 33 - 43
Main Authors: Kohlbrenner, M., Finnendahl, U., Djuren, T., Alexa, M.
Format: Journal Article
Language:English
Published: Oxford Blackwell Publishing Ltd 01.08.2021
Subjects:
CCS Concepts
Computing methodologies → Mesh models
Finite element method
geometric stylization
geometry processing
Global optimization
Interactive control
Mesh geometry models
Non‐photorealistic rendering
Optimization
shape modeling
Shape optimization
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:Extending the ARAP energy with a term that depends on the face normal, energy minimization becomes an effective stylization tool for shapes represented as meshes. Our approach generalizes the possibilities of Cubic Stylization: the set of preferred normals can be chosen arbitrarily from the Gauss sphere, including semi‐discrete sets to model preference for cylinder‐ or cone‐like shapes. The optimization is designed to retain, similar to ARAP, the constant linear system in the global optimization. This leads to convergence behavior that enables interactive control over the parameters of the optimization. We provide various examples demonstrating the simplicity and versatility of the approach.
Bibliography:equal contribution
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.14355