Area-Preserving Parameterization

Interactive minimization of disk authalic energy

Original Surface

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Disk Parameterization

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low distortion
high distortion
Iteration 0
Authalic energy0.000e+00
Lower means better area preservation
Optimization state
authalicinitial
Blue: low ยท Red: high

Drag the slider to follow the area-preserving map through the preconditioned nonlinear conjugate gradient iterations. Rotate the original surface to inspect its geometry.