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Towards an homogeneous handling of under-constrained and well-constrained systems of geometric constraints

by Simon E B Thierry, Pascal Mathis, Pascal Schreck
SAC07 Proceedings of the 22ndd ACM Symposium on Applied Computing (2007)

Abstract

Most of the geometric constraints solvers consider systems of constraints well-constrained modulo the rigid motions group, and either halt on error when they encounter under-constrained sub-systems, or attempt to add parameterized constraints so as to get rid of the under-constriction. We studied transformations groups making well-constrained some problems that are usually considered as under-constrained. This leads to new algorithms which allow an homogeneous handling of systems of geometric constraints and thus a better adaptation to the needs of the user.

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