A Least squares conformal map (LSCM) is a
2-D representation of a
3-D shape created using the Least Squares Conformal Mapping Method. By using the map as a guide when creating a new 2-D image, the colors of the 2-D image can be applied to the original 3-D model.
LSCM is used in computer graphics as a method of producing a
UV map
Ultraviolet (UV) is a form of electromagnetic radiation with wavelength from 10 nanometer, nm (with a corresponding frequency around 30 Hertz, PHz) to 400 nm (750 Hertz, THz), shorter than that of visible light, but longer than ...
from a
polygonal mesh
In 3D computer graphics and solid modeling, a polygon mesh is a collection of , s and s that defines the shape of a polyhedral object. The faces usually consist of triangles (triangle mesh), quadrilaterals (quads), or other simple convex polyg ...
to a
texture map
Texture mapping is a method for mapping a texture on a computer-generated graphic. Texture here can be high frequency detail, surface texture, or color.
History
The original technique was pioneered by Edwin Catmull in 1974.
Texture mapping ...
such that the shape of the polygons as mapped to the texture is relatively undistorted.
See also
*
Conformal map
In mathematics, a conformal map is a function that locally preserves angles, but not necessarily lengths.
More formally, let U and V be open subsets of \mathbb^n. A function f:U\to V is called conformal (or angle-preserving) at a point u_0\in ...
*
UV mapping
UV mapping is the 3D modeling process of projecting a 3D model's surface to a 2D image for texture mapping. The letters "U" and "V" denote the axes of the 2D texture because "X", "Y", and "Z" are already used to denote the axes of the 3D object i ...
External links
Least Squares Conformal Maps for Automatic Texture Atlas Generation ACM SIGGRAPH conference proceedings, 2002
Computer graphics data structures
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