Mirela Ben-Chen, Center for Graphics and Geometric Computing
Computer Science Department, Technion
Please note: This seminar has been cancelled. It will be rescheduled when a new date and time are known.
From gridshells to fruit packaging, quad meshes with uniform edge lengths are often needed in surface modeling. The analogous smooth mathematical structure is called a Chebyshev net. In this talk I will present a new method to compute a Chebyshev net approximating an input triangle mesh. The net is allowed to have point singularities, which end up as irregular vertices in the resulting quad mesh.
We formulate the problem using global parameterization with commuting (Poly)vector fields (as opposed to the commonly used curl-free fields), and design and solve efficiently the corresponding optimization problem. We compute, for the first time, Chebyshev nets with automatically-placed point singularities, and demonstrate the realizability of our approach using real material.
Joint work with Andrew O. Sageman-Furnas, Albert Chern and Amir Vaxman.
Bio: Mirela Ben-Chen is an Associate Professor at the Center for Graphics and Geometric Computing of the Computer Science Department, at the Technion – Israel Institute of Technology. She's interested in modeling and understanding the geometry of shapes. She uses mathematical tools, such as discrete differential geometry, numerical optimization and harmonic analysis, for applications such as shape correspondence, meshing and fluid simulation on surfaces. Mirela is currently on a sabbatical leave at the University of Toronto.
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