A Least squares conformal map (LSCM) is a
2-D representation of a
3-D
3-D, 3D, or 3d may refer to:
Science, technology, and mathematics Relating to three-dimensionality
* Three-dimensional space
** 3D computer graphics, computer graphics that use a three-dimensional representation of geometric data
** 3D film, a ...
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 nm (with a corresponding frequency around 30 PHz) to 400 nm (750 THz), shorter than that of visible light, but longer than X-rays. UV radiation i ...
from a
polygonal mesh 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 mappi ...
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
Texture mapping is a method for mapping a texture on a computer-generated graphic. Texture here can be high frequency detail, surfa ...
External links
Least Squares Conformal Maps for Automatic Texture Atlas Generation ACM SIGGRAPH conference proceedings, 2002
Computer graphics data structures
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