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Designing Quad‐dominant Meshes with Planar Faces
Author(s) -
Zadravec Mirko,
Schiftner Alexander,
Wallner Johannes
Publication year - 2010
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/j.1467-8659.2010.01776.x
Subject(s) - polygon mesh , planar , gravitational singularity , computer science , planarity testing , surface (topology) , set (abstract data type) , computer graphics (images) , smoothness , mathematics , geometry , combinatorics , mathematical analysis , programming language
We study the combined problem of approximating a surface by a quad mesh (or quad‐dominant mesh) which on the one hand has planar faces, and which on the other hand is aesthetically pleasing and has evenly spaced vertices. This work is motivated by applications in freeform architecture and leads to a discussion of fields of conjugate directions in surfaces, their singularities and indices, their optimization and their interactive modeling. The actual meshing is performed by means of a level set method which is capable of handling combinatorial singularities, and which can deal with planarity, smoothness, and spacing issues.