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  • 1991
  • Issue No. 2 - February
  • Abstract - Inverse Perspective Transform Using Zero-Curvature Contour Points: Application to the Localization of Some Generalized Cylinders from a Single View
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Inverse Perspective Transform Using Zero-Curvature Contour Points: Application to the Localization of Some Generalized Cylinders from a Single View
February 1991 (vol. 13 no. 2)
pp. 185-192

The localization of some kinds of modeled generalized cylinders from a single brightness perspective image is addressed. It is shown how the zero-curvature points of their contours can be used to solve the inverse perspective problem. Three key theorems about the perspective projection of space curves and of the limbs of a straight homogeneous generalized cylinder whose scaling function has at least one zero-curvature point are discussed. In view of the localization of homogeneous generalized cylinders, an algorithm previously developed by the authors which estimates the pose of a line-triplet is adapted. A new theoretical result about the inverse perspective projection of cones of revolution useful for the localization of objects of revolution is presented. The corresponding algorithms have been implemented, and results of experiments demonstrate the feasibility of the proposed localization methods.

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Index Terms:
zero-curvature contour points; localization; generalized cylinders; perspective projection; space curves; scaling function; pose; line-triplet; cones of revolution; pattern recognition; transforms
Citation:
M. Richetin, M. Chome, J.T. Lapresté, G. Rives, "Inverse Perspective Transform Using Zero-Curvature Contour Points: Application to the Localization of Some Generalized Cylinders from a Single View," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, no. 2, pp. 185-192, Feb. 1991, doi:10.1109/34.67647
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