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Directional Field Synthesis, Design, and Processing
Author(s) -
Vaxman Amir,
Campen Marcel,
Diamanti Olga,
Panozzo Daniele,
Bommes David,
Hildebrandt Klaus,
BenChen Mirela
Publication year - 2016
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.12864
Subject(s) - computer science , field (mathematics) , computer graphics , graphics , texture synthesis , geometry processing , set (abstract data type) , vector field , tensor field , range (aeronautics) , theoretical computer science , topology (electrical circuits) , computer graphics (images) , computational science , geometry , artificial intelligence , image processing , polygon mesh , mathematics , programming language , image (mathematics) , mathematical analysis , exact solutions in general relativity , combinatorics , image texture , pure mathematics , materials science , composite material
Direction fields and vector fields play an increasingly important role in computer graphics and geometry processing. The synthesis of directional fields on surfaces, or other spatial domains, is a fundamental step in numerous applications, such as mesh generation, deformation, texture mapping, and many more. The wide range of applications resulted in definitions for many types of directional fields: from vector and tensor fields, over line and cross fields, to frame and vector‐set fields. Depending on the application at hand, researchers have used various notions of objectives and constraints to synthesize such fields. These notions are defined in terms of fairness, feature alignment, symmetry, or field topology, to mention just a few. To facilitate these objectives, various representations, discretizations, and optimization strategies have been developed. These choices come with varying strengths and weaknesses. This report provides a systematic overview of directional field synthesis for graphics applications, the challenges it poses, and the methods developed in recent years to address these challenges.