Efficient implementation of accurate geometric transformations for 2-D and 3-D image processing

Dooley, S. and Stewart, R.W. and Durrani, T.S. and Setarehdan, S. and Soraghan, J.J. (2004) Efficient implementation of accurate geometric transformations for 2-D and 3-D image processing. IEEE Transactions on Image Processing, 13 (8). pp. 1060-1066. ISSN 1057-7149 (http://dx.doi.org/10.1109/TIP.2004.828438)

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Abstract

This paper proposes the use of a polynomial interpolator structure (based on Horner's scheme) which is efficiently realizable in hardware, for high-quality geometric transformation of two- and three-dimensional images. Polynomial-based interpolators such as cubic B-splines and optimal interpolators of shortest support are shown to be exactly implementable in the Horner structure framework. This structure suggests a hardware/software partition which can lead to efficient implementations for multidimensional interpolation