Image Pyramids and Curves - An Overview (bibtex)
by Walter G. Kropatsch
Abstract:
This technical report represents the first part of my habilitation (University of Innsbruck, Austria, 1990). It contains the quintessence of my scientific work in the years 1984-1989. The second part of the habilitation consists of a series of my own publications to the subject. It was not reproduced here since the papers already appeared separately. The present report offers a condensed survey over the international literature in this branch, arranged and commented according to a personal weighting in order to relate it to my works on the one hand and on the other hand, to put the significance of the single publications in the greater context of the current state of the art in computer vision. Pyramids are important structures in the processing of digital images. Invented as an ordered collection of images at multiple resolutions they have developed into efficient data and processing structures. They give us the hope to achieve acceptable performance in vision tasks that have to process millions of bytes in extremely short time. Curves represent shapes at an intermediate level. They describe either the boundary of a region or the central axis of an elongated region in the image. Hierarchical curve representations aim at a stepwise reduction of the data to 'significant parts' like corners or curvature extrema while preserving the major property of a curve: its connectivity.
Reference:
Image Pyramids and Curves - An Overview (Walter G. Kropatsch), Technical report, PRIP, TU Wien, 1991.
Bibtex Entry:
@TechReport{PP-Kropatsch91b,
  author =       "Walter G. Kropatsch",
  institution =  "PRIP, TU Wien",
  number =       "PRIP-TR-002",
  title =        "Image {P}yramids and {C}urves - {A}n {O}verview",
  year =         "1991",
  price =        "60,-",
  url =          "ftp://ftp.prip.tuwien.ac.at/pub/publications/trs/tr2.ps.gz",
  abstract =     "This technical report represents the first part of my
                 habilitation (University of Innsbruck, Austria, 1990).
                 It contains the quintessence of my scientific work in
                 the years 1984-1989. The second part of the
                 habilitation consists of a series of my own
                 publications to the subject. It was not reproduced here
                 since the papers already appeared separately. The
                 present report offers a condensed survey over the
                 international literature in this branch, arranged and
                 commented according to a personal weighting in order to
                 relate it to my works on the one hand and on the other
                 hand, to put the significance of the single
                 publications in the greater context of the current
                 state of the art in computer vision. Pyramids are
                 important structures in the processing of digital
                 images. Invented as an ordered collection of images at
                 multiple resolutions they have developed into efficient
                 data and processing structures. They give us the hope
                 to achieve acceptable performance in vision tasks that
                 have to process millions of bytes in extremely short
                 time. Curves represent shapes at an intermediate level.
                 They describe either the boundary of a region or the
                 central axis of an elongated region in the image.
                 Hierarchical curve representations aim at a stepwise
                 reduction of the data to 'significant parts' like
                 corners or curvature extrema while preserving the major
                 property of a curve: its connectivity.",
}
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