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On 1-1 Bivariate Transformations

✍ Scribed by J.M. Fitzpatrick; L.L. Schumaker


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
450 KB
Volume
72
Category
Article
ISSN
0021-9045

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✦ Synopsis


We study a class of one-to-one tensor mappings defined on a rectangular region of the plane. Such mappings are of interest in image processing, computer vision, biological morphology, cartography, and medical imaging. The mappings are constructed as tensor-products of univariate functions, and the main result is a set of constraints on the parameters of the mapping which assure that it is one-to-one. We illustrate the method by showing how to construct one-to-one mappings using tensor-product polynomials and tensor-product splines. (\quad: 1993) Academic Press, Inc


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