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Shape Recognition in Three Dimensions

Author

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  • R Krishnamurti

    (Department of Architecture, Carnegie Mellon University, Pittsburgh, PA 15213, USA)

  • C F Earl

    (Department of Mechanical, Materials and Manufacturing Engineering, University of Newcastle upon Tyne NE1 7RU, England)

Abstract

The subshape recognition problem for three-dimensional shapes under linear transformations is considered. The problem is analysed in a series of cases, some that provide a determinate number of solutions and others that have indeterminately many solutions. Procedures for its solution for general shapes are developed. Difficulties posed by strict adherence to rational transformations are examined. As a corollary, an outline of a procedure for determining the symmetries of a shape is presented.

Suggested Citation

  • R Krishnamurti & C F Earl, 1992. "Shape Recognition in Three Dimensions," Environment and Planning B, , vol. 19(5), pages 585-603, October.
    • Handle: RePEc:sae:envirb:v:19:y:1992:i:5:p:585-603
    DOI: 10.1068/b190585
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