Alan K. Mackworth's Publications

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Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes

F. Mokhtarian and Alan K. Mackworth. Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence, 8(1):34–43, 1986. Reprinted in Computer Vision: Advances and Applications, R. Kasteri and R. C. Jain (eds.), IEEE Computer Society Press, Los Alamitos, CA, 1992, pp. 154-163. [Selected on basis of high citation frequency.]

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Abstract

The problem of finding a description, at varying levels of detail, for planar curves and matching two such descriptions is posed and solved in this paper. A number of necessary criteria are imposed on any candidate solution method. Path-based Gaussian smoothing techniques are applied to the curve to find zeros of curvature at varying levels of detail. The result is the "generalized scale space" image of a planar curve which is invariant under rotation, uniform scaling and translation of the curve. These properties make the scale space image suitable for matching. The matching algorithm is a modification of the uniform cost algorithm and finds the lowest cost match of contours in the scale space images. It is argued that this is preferable to matching in a so-called stable scale of the curve because no such scale may exist for a given curve. This technique is applied to register a Landsat satellite image of the Strait of Georgia, B.C. (manuall corrected for skew) to a map containing the shorelines of an overlapping area.

BibTeX

@Article{IEEE-PAMI86,
  author =	 {F. Mokhtarian and Alan K. Mackworth},
  title =	 {Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes},
  year =	 {1986},
  journal =	 {IEEE Transactions on Pattern Analysis and Machine Intelligence},
  volume =       {8},
  number =       {1}
  pages =         {34--43}, 
  note =         {Reprinted in <I>Computer Vision: Advances and Applications</I>, 
                  R. Kasteri and R. C. Jain (eds.), IEEE Computer Society Press, 
                  Los Alamitos, CA, 1992, pp. 154-163. [Selected on basis of high citation
                  frequency.]},
  abstract =	 {The problem of finding a description, at varying levels of
detail, for planar curves and matching two such descriptions is posed
and solved in this paper. A number of necessary criteria are imposed
on any candidate solution method. Path-based Gaussian smoothing
techniques are applied to the curve to find zeros of curvature at varying
levels of detail. The result is the "generalized scale space" image of a
planar curve which is invariant under rotation, uniform scaling and
translation of the curve. These properties make the scale space image
suitable for matching. The matching algorithm is a modification of the
uniform cost algorithm and finds the lowest cost match of contours in
the scale space images. It is argued that this is preferable to matching
in a so-called stable scale of the curve because no such scale may exist
for a given curve. This technique is applied to register a Landsat satellite
image of the Strait of Georgia, B.C. (manuall corrected for skew)
to a map containing the shorelines of an overlapping area.
 },
  bib2html_pubtype ={Refereed Journal},
  bib2html_rescat ={},
}

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