IEEE Trans Image Process - Principle of superposition by direction images.

Tópicos

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Resumo

This paper discusses the decomposition of the image by direction images, which is based on the concept of the tensor representation and its advanced form, the paired representation. The 2-D image is considered of the size N?N, where N is prime, a power of two, and a power of odd primes. The tensor and paired representations in the frequency-and-time domain define the image as a set of 1-D signals, which we call splitting-signals. Each of such splitting-signals is calculated as the sum of the image along the parallel lines, and it defines the direction image as a component of the original image. The unique decomposition of the image by direction images is described, and formulas for the inverse tensor and paired transforms are given. These formulas can be used for image reconstruction from projections, when splitting-signals or their direction images are calculated directly from the projection data. The number of required projections is uniquely defined by the tensor representation of the image.

Resumo Limpo

paper discuss decomposit imag direct imag base concept tensor represent advanc form pair represent d imag consid size nn n prime power two power odd prime tensor pair represent frequencyandtim domain defin imag set d signal call splittingsign splittingsign calcul sum imag along parallel line defin direct imag compon origin imag uniqu decomposit imag direct imag describ formula invers tensor pair transform given formula can use imag reconstruct project splittingsign direct imag calcul direct project data number requir project uniqu defin tensor represent imag

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