Classification of transforms

Leon Cohen; Alan R. Lindsey; Bruce W. Suter

doi:10.1117/12.408626

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4 December 2000 Classification of transforms

Leon Cohen, Alan R. Lindsey, Bruce W. Suter

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Proceedings Volume 4119, Wavelet Applications in Signal and Image Processing VIII; (2000) https://doi.org/10.1117/12.408626
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

Lindsey and Suter have shown that for many transforms the transform of the convolution of two functions have the same functional form. We explain the origin of this result and derive the condition on the transformation kernel for when this should be the case. In addition we consider the general transform of the inverse and direct scale transform and obtain condition on the kernel so that the transform gives similar functional forms.

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Leon Cohen, Alan R. Lindsey, and Bruce W. Suter "Classification of transforms", Proc. SPIE 4119, Wavelet Applications in Signal and Image Processing VIII, (4 December 2000); https://doi.org/10.1117/12.408626

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