Equal-Area and Quasi-Conformal Mappings between Squares, Discs and Fernández-Guasti Squircles
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Bjorn Vermeersch
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Equal-Area and Quasi-Conformal Mappings between Squares, Discs and Fernández-Guasti Squircles is Bjorn Vermeersch's JCGT article on equal-area and quasi-conformal mappings between discs, squares, and Fernández-Guasti squircles.
Equal-area forms use incomplete elliptic integrals; quasi-conformal forms use elementary functions, with benchmarks against Shirley mapping and C++ sample code.
Graphics programmers building UV or procedural disc layouts need intermediate conformal-map intuition.
JCGT publishes the PDF and supplemental code openly.
Link last verified accessible on 2026-09-27.
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