Reversible integer-to-integer transforms and symmetric extension of even-length filter banks

نویسندگان

Brendt Wohlberg

Christopher M. Brislawn

چکیده

B. Wohlberg and C. Brislawn, " Reversible integer-to-integer transforms and symmetric extension of even-length filter banks " , c 2003 Society of Photo-Optical Instrumentation Engineers. This paper will be published in Proceedings VCIP 2003 and is made available as an electronic preprint with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. ABSTRACT The recent JPEG2000 image coding standard includes a lossless coding mode based on reversible integer to integer filter banks, which are constructed by inserting rounding operations into the filter bank lifting factorisation. The baseline (Part 1) of the JPEG2000 standard supports a single reversible filter bank, the finite length input to which is symmetrically extended to avoid difficulties at the boundaries. While designing support for arbitrary filter banks for Part 2 of the standard, we discovered that reversibility is not always possible for even length integer to integer filter banks combined with symmetric pre-extension.

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