J. Weickert, S. Ishikawa, A. Imiya,
Scale-space has been discovered in Japan,
Technical Report DIKU-97/18, Dept. of Computer Science,
University of Copenhagen, Denmark, 1997. A revised version
has appeared in Journal of Mathematical Imaging and Vision,
Vol. 10, 237--252, 1999 under the title
"Linear scale-space has first been proposed in Japan".
Gaussian scale-space is considered to be a modern bottom-up tool in
computer vision.
The American and European vision community, however, is unaware of the
fact that Gaussian scale-space has already been axiomatically derived in
1959 in a Japanese paper by Taizo Iijima. This result formed the starting
point of an entire world of linear scale-space research in Japan ranging from
various axiomatic derivations over deep structure analysis to applications
to optical character recognition (OCR).
Since this world is unknown to western scale-space researchers and
many papers are written in Japanese, we give an overview of the basic
concepts. In particular, we review four Japanese axiomatics for Gaussian
scale-space which have been proposed between 1959 and 1981. By juxtaposing
them to ten American or European axiomatics, we present an overview of the
state-of-the-art in Gaussian scale-space axiomatics.
The
full paper is available online as well.
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