Title
A construction method of optimum integer-to-integer transform based on an error propagation model
Abstract
In lossless image compression, a ladder network is commonly or widely used for integer to integer transform(integer transform), where rounding operations after multiplications cause some difference between the real and integer transform (transform error). In order to remain the error value within a small range, the ladder network coefficients should be small. We previously proposed a method of exchanging the rows of transformation matrix(row exchange method) to make the ladder network coefficients smaller. As there are many exchange patterns, a method is desired for finding best or nearly best exchange pattern efficiently. This paper proposes such a method by maximizing the absolute value of trace of a submatrix of the transformation matrix.
Year
DOI
Venue
2013
10.1109/ECCTD.2013.6662208
Circuit Theory and Design
Keywords
Field
DocType
data compression,image coding,ladder networks,error propagation model,exchange patterns,ladder network,lossless image compression,optimum integer-to-integer transform,rounding operations,row exchange method,transform error,transformation matrix
Integer,Row,Propagation of uncertainty,Absolute value,Electronic engineering,Rounding,Data compression,Transformation matrix,Mathematics,Lossless compression
Conference
Citations 
PageRank 
References 
0
0.34
2
Authors
4
Name
Order
Citations
PageRank
Daisuke Takago102.37
Ryuichi Sakai2537.49
Shuitsu Matsumura300.34
Tsuyoshi Takebe401.35