Linear Scale-Space has First been Proposed in Japan

  • Authors:

  • Joachim Weickert;Seiji Ishikawa;Atsushi Imiya

  • Affiliations:

  • Department of Computer Science, University of Copenhagen, Universitetsparken 1, 2100 Copenhagen, Denmark. joachim@diku.dk;Department of Control Engineering, Kyushu Institute of Technology, Sensuicho 1-1, Tobata, Kitakyushu 804, Japan. ishikawa@is.cntl.kyutech.ac.jp;Department of Information and Computer Sciences, Faculty of Engineering, Chiba University, 1-33 Yayoi-Cho, Inage-Ku 263, Chiba, Japan. imiya@ics.tj.chiba-u.ac.jp

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 1999

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Abstract

Linear scale-space is considered to be a modern bottom-up tool incomputer vision. The American and European vision community, however, is unaware of the fact that it has already been axiomatically derived in1959 in a Japanese paper by Taizo Iijima. This result formed the startingpoint of vast linear scale-space research in Japan ranging fromvarious axiomatic derivations over deep structure analysis to applicationsto optical character recognition. Since the outcomes of these activities are unknown to western scale-space researchers, we give an overview of the contribution to the developmentof linear scale-space theories and analyses. In particular, we review four Japanese axiomatic approaches thatsubstantiate linear scale-space theories proposed between 1959and 1981. By juxtaposing them to ten American or European axiomatics, we present an overview of thestate-of-the-art in Gaussian scale-space axiomatics. Furthermore,we show that many techniques for analysing linear scale-space havealso been pioneered by Japanese researchers.