Premium
Gauss Stylization: Interactive Artistic Mesh Modeling based on Preferred Surface Normals
Author(s) -
Kohlbrenner M.,
Finnendahl U.,
Djuren T.,
Alexa M.
Publication year - 2021
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.14355
Subject(s) - polygon mesh , computer science , gauss , surface (topology) , convergence (economics) , set (abstract data type) , energy minimization , constant (computer programming) , face (sociological concept) , simplicity , preference , algorithm , artificial intelligence , mathematics , computer graphics (images) , geometry , chemistry , physics , computational chemistry , epistemology , statistics , quantum mechanics , sociology , economics , programming language , economic growth , social science , philosophy
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.