Detail-Preserving Variational Surface Design with Multiresolution Constraints

  • Authors:
  • Affiliations:
  • Venue:
  • SMI '04 Proceedings of the Shape Modeling International 2004
  • Year:
  • 2004

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Abstract

We present a variational framework for rapid shape prototyping.The modeled shape is represented as a Catmull-Clark multiresolution subdivision surface which is interactively deformed by direct user input. Free-form design goalsare formulated as constraints on the shape and the modelingproblem is cast into a constrained optimization one. The focusof this paper is on handling multiresolution constraintsof different kinds and on preserving surface details throughoutthe deformation process. Our approach eliminates theneed for an explicit decomposition of the input model intofrequency bands and the overhead associated with savingand restoring high-frequency detail after global shape fairing.Instead, we define a deformation vector field over themodel and we optimize its energy. Surface details are consideredas part of the rest shape and are preserved duringfree-form model editing. We explore approximating the solutionof the optimization problem to various degrees to balancetrade-offs between interactivity and accuracy of the results.