Mathematical error analysis of normal map compression based on unity condition
Yamasaki, T.
Hayase, K.
Aizawa, K.
Dept. of Frontier Inf., Tokyo Univ., Chiba, Japan;
This paper appears in: Image Processing, 2005. ICIP 2005. IEEE International Conference on
Publication Date: 11-14 Sept. 2005
Volume: 2,
On page(s): II- 253-6
ISBN: 0-7803-9134-9
INSPEC Accession Number: 8835833
Digital Object Identifier: 10.1109/ICIP.2005.1530039
Current Version Published: 2005-11-14
Abstract
Normal maps play an important role in realistic 3D image rendering to express pseudo roughness of the surface. In normal map compression, z components are often eliminated and calculated from x and y components based on the unity condition to achieve high compression rate. However, there is no theoretical background of the validity of eliminating z components so far. In this paper, a mathematical mean square error (MSE) model of such normal map compression based on the unity condition is proposed. In addition, the boundary condition whether to eliminate or include the z components in compression for the better efficient encoding is demonstrated based on our error analysis model.
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