← Shu-Yung Liu · demos BEM

Distortion-Balancing Parameterization

Angle and area distortion controlled by a combined conformal–authalic energy.

Original Surface

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Balanced Parameterization

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low distortion
high distortion
Preserve area Balanced Preserve angles
Authalic energy EA--
Lower means better area preservation
Energy ratio EA/EC
authalicbalanceconformal
EA/EC = --
Conformal energy EC--
Lower means better angular preservation
Optimal balance

Move the slider to vary the energy weighting. Select a distortion measure from the color menu.