The problem of planar mapping and deformation is central in computer graphics, where applications range from image warping and character animation, to non-rigid registration and shape analysis. I will present a framework for adapting general, smooth, function bases for constructing provably good planar mappings. The term "good" in this context means the map has no fold-overs (injective), is smooth, and has low isometric or conformal distortion. Our approach bridges the gap between mesh and meshless methods, allowing us to construct meshless maps with bounded distortion.
Roi Poranne is a post-doctoral fellow in Dr. Yaron Lipman's group, in the applied mathematics & computer science department at the Weizmann institute in Israel. He received his B.Sc in mathematics and physics (2008), and a PhD in computer science (2013), both from the Technion, Israel. His research interests include interactive modeling & deformation, shape analysis & matching, and geometric processing in general.