This paper presents the binary flattenings of shapes, first as a connected operator suppressing particles or holes, second as an erosion in a particular lattice of shapes. Using t...
Abstract This paper describes an algorithm for generating a guaranteed intersectionfree interpolation sequence between any pair of compatible polygons. Our algorithm builds on prio...
Interpolating vertex positions among triangle meshes with identical vertex-edge graphs is a fundamental part of many geometric modelling systems. Linear vertex interpolation is ro...
Tim Winkler, J. Drieseberg, Marc Alexa, Kai Horman...
Abstract. We propose two differential geometric representations of planar shapes using: (i) direction functions and (ii) curvature functions, of their boundaries. Under either rep...
Anuj Srivastava, Washington Mio, Eric Klassen, Sha...
Traditionally, shape transformation using implicit functions is performed in two distinct steps: 1) creating two implicit functions, and 2) interpolating between these two functio...