Volume-Preserving Parameterization

Achieving volume preservation via the preconditioned nonlinear conjugate gradient method

Original Tetrahedral Mesh

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outer surface subregion surface

Ball-Shaped Parameterization

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ball boundary mapped subregion
low distortion
high distortion
Iteration: 0
Objective Function: 0.000e+00

Drag the slider to see how the subregion evolves toward volume preservation through the preconditioned nonlinear conjugate gradient method. Rotate either viewport to explore the volumetric structure.