Directional Field Synthesis, Design, and Processing

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Date
2016
Journal Title
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Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
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.
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@article{
10.1111:cgf.12864
, journal = {Computer Graphics Forum}, title = {{
Directional Field Synthesis, Design, and Processing
}}, author = {
Vaxman, Amir
 and
Campen, Marcel
 and
Diamanti, Olga
 and
Panozzo, Daniele
 and
Bommes, David
 and
Hildebrandt, Klaus
 and
Ben-Chen, Mirela
}, year = {
2016
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.12864
} }
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