Shape Recognition in Three Dimensions

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1992 English Publisher:SAGE PublicationsJournal:Environment and Planning B: Planning and Design, volume 19, pages 585-603 (issn: 0265-8135, eissn: 1472-3417,

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Authors: R Krishnamurti; C F Earl;

doi: 10.1068/b190585 , 10.1184/r1/6076184.v1 , 10.1184/r1/6076184

Shape Recognition in Three Dimensions

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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.

Related Organizations

Newcastle University
United Kingdom
Carnegie Mellon University
United States

Keywords

Architecture not elsewhere classified

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