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2010

Mixed Finite Elements for Variational Surface Modeling

8 years 6 months ago
Mixed Finite Elements for Variational Surface Modeling
Many problems in geometric modeling can be described using variational formulations that define the smoothness of the shape and its behavior w.r.t. the posed modeling constraints. For example, high-quality C2 surfaces that obey boundary conditions on positions, tangents and curvatures can be conveniently defined as solutions of high-order geometric PDEs; the advantage of such a formulation is its conceptual representation-independence. In practice, solving high-order problems efficiently and accurately for surfaces approximated by meshes is notoriously difficult. Classical FEM approaches require high-order elements which are complex to construct and expensive to compute. Recent discrete geometric schemes are more efficient, but their convergence properties are hard to analyze, and they often lack a systematic way to impose boundary conditions. In this paper, we present an approach to discretizing common PDEs on meshes using mixed finite elements, where additional variables for the der...
Alec Jacobson, Elif Tosun, Olga Sorkine, Denis Zor
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2010
Where CGF
Authors Alec Jacobson, Elif Tosun, Olga Sorkine, Denis Zorin
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