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Preprints, Working Papers, ... Year : 2019

A Low-Distortion Map Between Triangle and Square

Eric Heitz
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  • PersonId : 947452


We introduce a low-distortion map between triangle and square. This mapping yields an area-preserving parameterization that can be used for sampling random points with a uniform density in arbitrary triangles. This parameterization presents two advantages compared to the square-root param-eterization typically used for triangle sampling. First, it has lower distortions and better preserves the blue-noise properties of the input samples. Second, its computation relies only on arithmetic operations (+, *), which makes it faster to evaluate.
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Dates and versions

hal-02073696 , version 1 (20-03-2019)
hal-02073696 , version 2 (12-06-2019)


  • HAL Id : hal-02073696 , version 2


Eric Heitz. A Low-Distortion Map Between Triangle and Square. 2019. ⟨hal-02073696v2⟩
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