Computing Transformation Matrix for 1-D to 2-D Polynomial Transformation

Younseok CHOO
Young-Ju KIM

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E95-A    No.10    pp.1780-1783
Publication Date: 2012/10/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.1780
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
polynomial transformation,  digital filter,  transformation matrix,  

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Recently a simple algorithm was presented by the first author which enables one to successively compute the transformation matrix of various order for the general 1-D to 1-D polynomial transformation. This letter extends the result to the general 1-D to 2-D polynomial transformation. It is also shown that the matrix obtained can be used for the 2-D to 2-D polynomial transformation as well.