EE Seminar: Moebius Geometry Processing
(The talk will be given in English)
Speaker: Prof. Amir Vaxman
Division Virtual Worlds at the Department of Information and Computing Sciences
Utrecht University, The Netherlands
Sunday, June 3rd, 2018
15:00 - 16:00
Room 011, Kitot Bldg., Faculty of Engineering
Moebius Geometry Processing
Abstract
The mainstream approaches in digital geometry processing utilize triangular (simplicial) meshes, discretize differential quantities using finite-element function spaces, and describe transformations with piecewise affine maps. I will describe how Moebius geometry provides an original alternative to discrete differential geometry, by using circles as its basic elements, and describing quantities like conformality and regularity through the invariant cross-ratio. This theory allows for various applications, such as polygonal (non-triangular) mesh deformation, interpolation, and symmetric realization of unconventional mesh patterns.
Bio
Amir Vaxman is an universitair docent (assistant professor) in the Division Virtual Worlds at the Department of Information and Computing Sciences at Utrecht University, The Netherlands. Before his position in UU, he was a postdoctoral fellow in TU Wien (Vienna) at the Geometric Modeling and Industrial Geometry group, where he also received the Lise-Meitner fellowship. He earned his BSc in computer engineering, and his PhD in Computer science from the Technion-IIT. His research interests are geometry processing and discrete differential geometry, focusing on directional-field design, unconventional meshes, constrained shape spaces, architectural geometry, and medical applications.
