Title: "Detail-Preserving Variational Surface Design with Multiresolution Constraints"
Authors: Ioana M. Boier-Martin, Remi Ronfard, Fausto Bernardini
Citation: Proceedings of Shape Modeling International 2004, pp. 119-128, Genova, Italy, June 2004.
Copyright © (2004) by the IEEE. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit. To copy otherwise, to republish, to post of servers, or to redistribute to lists, requires prior specific permission and/or a fee.
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
goals are formulated as constraints on the shape and the modeling problem
is cast into a constrained optimization one. The focus of this paper is on
handling multiresolution constraints of different kinds and on preserving
surface details throughout the deformation process. Our approach eliminates
the need for an explicit decomposition of the input model into frequency bands
and the overhead associated with saving and restoring high frequency detail
after global shape fairing. Instead, we define a deformation vector field
over the model and we optimize its energy. Surface details are considered
as part of the rest shape and are preserved during free-form model editing.
We explore approximating the solution of the optimization problem to various
degrees to balance trade-offs between interactivity and accuracy of the results.