RT Journal Article
JF Data Compression Conference
YR 1999
VO 00
IS
SP 364
TI Binary Pseudowavelets and Applications to Bilevel Image Processing
A1 Steven Pigeon,
A1 Yoshua Bengio,
K1
AB This paper shows the existance of binary pseudowavelets, bases on the binary domain that exhibit some of the properties of wavelets, such as multiresolution reconstruction and compact support. The binary pseudowavelets are defined on % n (binary vectors of length n) and are operated upon with the binary operators logical and and exclusive or. The forward transform, or analysis, is the decomposition of a binary vector into its constituant binary pseudowavelets. Binary pseudowavelets allow multiresolution, progressive reconstruction of binary vectors by using progressively more coefficients in the inverse transform. Binary pseudowavelets bases, being sparse matrices, also provide for fast transforms; moreover pseudowavelets rely on hardware-friendly operations for efficient software and hardware implementation.
PB IEEE Computer Society, [URL:http://www.computer.org]
SN 1068-0314
LA English
DO 10.1109/DCC.1999.755686
LK http://doi.ieeecomputersociety.org/10.1109/DCC.1999.755686