Comput Math Methods Med - The X-ray transform projection of 3D mother wavelet function.

Tópicos

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Resumo

As we all know, any practical computed tomography (CT) projection data more or less contains noises. Hence, it will be inconvenient for the postprocessing of a reconstructed 3D image even when the noise in the projection data is white. The reason is that the noise in the reconstructed image may be nonwhite. X-ray transform can be applied to the three dimensional (3D) CT, depicting the relationship between material density and ray projection. In this paper, nontensor product relationship between the two dimensional (2D) mother wavelet and 3D mother wavelet is obtained by taking X-ray transform projection of 3D mother wavelet. We proved that the projection of the 3D mother wavelet is a 2D mother wavelet if the 3D mother wavelet satisfies certain conditions. So, the 3D wavelet transform of a 3D image can be implemented by the 2D wavelet transform of its X-ray transform projection and it will contribute to the reduction complexity and computation time during image processing. What is more, it can also avoid noise transfer and amplification during the processing of CT image reconstruction.

Resumo Limpo

know practic comput tomographi ct project data less contain nois henc will inconveni postprocess reconstruct d imag even nois project data white reason nois reconstruct imag may nonwhit xray transform can appli three dimension d ct depict relationship materi densiti ray project paper nontensor product relationship two dimension d mother wavelet d mother wavelet obtain take xray transform project d mother wavelet prove project d mother wavelet d mother wavelet d mother wavelet satisfi certain condit d wavelet transform d imag can implement d wavelet transform xray transform project will contribut reduct complex comput time imag process can also avoid nois transfer amplif process ct imag reconstruct

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