Comparison study for Level set and Direct Lagrangian methods for computing Willmore flow of closed planar curves

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Comparison study for Level set and Direct Lagrangian methods for computing Willmore flow of closed planar curves

Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Praha 2, Czech Republic e-mail: [email protected], e-mail: [email protected] Department of Mathematics, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovak Republic e-mail: [email protected] Dept. of Applie...

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A level set formulation for Willmore flow

A level set formulation of Willmore flow is derived using the gradient flow perspective. Starting from single embedded surfaces and the corresponding gradient flow, the metric is generalized to sets of level set surfaces using the identification of normal velocities and variations of the level set function in time via the level set equation. The approach in particular allows to identify the nat...

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ژورنال

عنوان ژورنال: Computing and Visualization in Science

سال: 2008

ISSN: 1432-9360,1433-0369

DOI: 10.1007/s00791-008-0112-2