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Applications of vector field design in surface and volume meshing, and sketch vectorization - Edward Chien

Applications of vector field design in surface and volume meshing, and sketch vectorization

Par

Edward Chien

Boston University

 

Jeudi 3 février 2022, 15:30-16:30 EST

Sur zoom

Pour assister à la conférence, remplissez le formulaire Google avant mercredi 2 février, 19h.

Résumé:

I will detail how vector fields on surfaces and in volumes have found practical use in two settings: the production of quadrilateral and hexahedral meshes, e.g. for finite-element simulation, and in the vectorization of sketches, as pioneered by Bessmeltsev and colleagues. At the core of the talk will be the classical Poincare-Hopf theorem, describing the singularities and topological winding of the vector field. These correspond to irregular vertices and edges of the meshes, and to problematic trace regions for the vectorization application. The problems and applications will be introduced carefully before launching into details.

Biographie :

Edward Chien is an Assistant Professor of Computer Science at Boston University, having joined recently in 2020. His research applies tools and insights from differential geometry and topology to solve problems in graphics, computational engineering, and machine learning. His work has been published in venues such as SIGGRAPH, SGP, NeurIPS, and ICML. Prior to BU, he was a Postdoc in the Geometric Data Processing group at MIT, led by Justin Solomon, and in Ofir Weber’s lab at Bar-Ilan University. He earned his PhD in Mathematics from Rutgers in 2015 working with Feng Luo.