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On the matrices of central linear mappings. (English) Zbl 0863.51020
In the paper it is shown that a central linear mapping of a projectively embedded Euclidean \(n\)-space onto a projectively embedded Euclidean \(m\)-space can be decomposed into a central projection followed by a similarity iff the least singular value of a certain matrix has multiplicity \(\geq 2m-n+1\). The construction of the matrix in question is given.
MSC:
51N15 Projective analytic geometry
51N05 Descriptive geometry
15A18 Eigenvalues, singular values, and eigenvectors
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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