An algebraic model for parameterized shape editing

We present an approach to high-level shape editing that adapts the structure of the shape while maintaining its global characteristics. Our main contribution is a new algebraic model of shape structure that characterizes shapes in terms of linked translational patterns. The space of shapes that conform to this characterization is parameterized by a small set of numerical parameters bounded by a set of linear constraints. This convex space permits a direct exploration of variations of the input shape. We use this representation to develop a robust interactive system that allows shapes to be intuitively manipulated through sparse constraints. CR Categories: I.3.5 [Computing Methodologies]: Computer Graphics—Computational Geometry and Object Modeling;

• Type: Journal
• Year: 2012
• Where: TOG
• Authors: Martin Bokeloh, Michael Wand, Hans-Peter Seidel, Vladlen Koltun
• Keywords: Communications, CR Categories, Linear Constraints, Numerical Parameters, TOG 2012