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Conference Paper Probability Distribution of Index Distances in Normal Index Array for Normal Vector Compression
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Authors
Deok Soo Kim, Young Song Cho, Dong Uk Kim, Hyun Kim
Issue Date
2003-06
Citation
International Conference on Computational Science (ICCS) 2003 (LNCS 2657), v.2657, pp.887-896
Publisher
Springer
Language
English
Type
Conference Paper
DOI
https://dx.doi.org/10.1007/3-540-44860-8_92
Abstract
Shape models are in these days frequently transmitted over Internet and the research of their compression has been started. Considering the large portion of shape model can be normal vectors, a new scheme was recently presented to compress normal vectors using clustering and mixed indexing scheme. Presented in this paper is a mathematical investigation of the scheme to analyze the probability distribution of normal index distances in Normal Index array which is critical for the compression. The probability distribution is formulated so that the values can be easily calculated once the relative probabilities of C, R, E, S, and L op-codes in Edgebreaker are known. It can be shown that the distribution of index distances can be easily transformed into a few measures for the compression performance of the proposed algorithm. © Springer-Verlag Berlin Heidelberg 2003.
KSP Keywords
Compression performance, Indexing scheme, Probability distribution, Shape model, Vector compression, normal vector