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Title: Recognition of 3D thin-plate objects using orthogonal AR model
Authors: Tsang, KM 
Keywords: 3D object recognition
AR model
Orthogonal estimation algorithm
Thin-plate object
Issue Date: 2001
Publisher: World Scientific
Source: International journal of pattern recognition and artificial intelligence, 2001, v. 15, no. 6, p. 921-935 How to cite?
Journal: International journal of pattern recognition and artificial intelligence 
Abstract: A three-dimensional (3D) autoregressive model is introduced for modeling, invariant feature extraction and recognition of arbitrary 3D thin-plate objects. An orthogonal estimation algorithm is derived for the estimation of the coefficient matrices associated with the object boundary and error reduction ratio is used to determine the sufficient order of the model to describe the boundary. It is shown that the eigenvalues, trace and the determinant of the orthogonal coefficient matrices are invariant to rotation around the origin, to the choice of starting point in tracing the boundary and to scale and translation, and classification based on orthogonal parameters is shown to be less susceptible to incorrect model order specification.
ISSN: 0218-0014
EISSN: 1793-6381
DOI: 10.1142/S0218001401001234
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