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A least squares conformal map (LSCM) is quasiconformal mesh parameterisation method which produces a 2D representation (conformal map) of a 3D surface based on the least squares approximation of the Cauchy-Riemann equations.^[1] By using the map as a guide when creating a new 2D image, the colors of the 2D image can be applied to the original 3D model.^[1]

LSCM is used in computer graphics as a method of producing a UV map from a polygonal mesh to a texture map such that the shape of the polygons as mapped to the texture is relatively undistorted.

References

Works cited

• Lévy, Bruno; Petitjean, Sylvain; Ray, Nicolas; Maillot, Jérome (2002). "Least squares conformal maps for automatic texture atlas generation" (PDF). ACM Transactions on Graphics. 21 (3): 362–371. doi:10.1145/566654.566590.

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