FDA-QC combines functional data analysis of curves with quasi-conformal mappings to register and analyze both boundaries and interiors of planar biological shapes for morphing and variation studies.
Planar morphometrics using Teichm¨ uller maps,
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The norm of the Beltrami coefficient equals the absolute angular distortion of triangle elements, enabling a simple formula to estimate maximal angular distortion.
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Planar morphometry via functional shape data analysis and quasi-conformal mappings
FDA-QC combines functional data analysis of curves with quasi-conformal mappings to register and analyze both boundaries and interiors of planar biological shapes for morphing and variation studies.
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Beltrami coefficient and angular distortion of discrete geometric mappings
The norm of the Beltrami coefficient equals the absolute angular distortion of triangle elements, enabling a simple formula to estimate maximal angular distortion.