Directional Field Synthesis, Design, and Processing

Amir Vaxman, Marcel Campen, Olga Diamanti, Daniele Panozzo, David Bommes, Klaus Hildebrandt, Mirela Ben-Chen

Research output: Contribution to journalArticleScientificpeer-review

77 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)545-572
Number of pages28
JournalComputer Graphics Forum (online)
Issue number2
Publication statusPublished - 2016
EventEurographics 2016: The 37th Annual Conference of the European Association for Computer Graphics - Lisbon, Portugal
Duration: 9 May 201613 May 2016


  • Computational Geometry and Object Modeling—Physically based modeling

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