An algebraic model for parameterized shape editing

  • Authors:
  • Martin Bokeloh;Michael Wand;Hans-Peter Seidel;Vladlen Koltun

  • Affiliations:
  • Stanford University;Saarland University and Max-Planck-Institut Informatik;Max-Planck-Institut Informatik;Stanford University

  • Venue:
  • ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
  • Year:
  • 2012

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Abstract

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.