Distortion-Balancing Parameterization

Explore the trade-off between area and angular preservation

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 left to preserve area or right to preserve angles; use the color menu to inspect either distortion.