Simultaneous reconstruction and edge detection of transmission images in emission computed tomography

Soo-Jin Lee

doi:10.1117/12.449786

7 December 2001 Simultaneous reconstruction and edge detection of transmission images in emission computed tomography

Soo-Jin Lee

Proceedings Volume 4472, Applications of Digital Image Processing XXIV; (2001) https://doi.org/10.1117/12.449786
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

This paper presents a Bayesian method for reconstructing transmission images, which provide attenuation correction factors for emission scans. In order to preserve the edges that bound anatomical regions, which are important especially for areas of non-uniform attenuation, we use the line-process model as a prior. Our prior model provides edge maps containing the anatomical boundary information as well as edge preserved reconstructions. To optimize our nonconvex objective function, we use our previously developed deterministic annealing algorithm, in which the energy function is approximated by a sequence of smooth functions that converges uniformly to the original energy function. To accelerate the convergence speed of our algorithm, we apply the ordered subsets principle to the deterministic annealing algorithm. We also show how the smoothing parameter can be adjusted to account for the effects of using ordered subsets so that the degree of smoothness can be retained for variations of the number of subsets. To validate the quantitative performance of our algorithm, we use the quantitation of bias/variance over noise trials. Our preliminary results indicate that, in some circumstances, our methods have advantages over conventional methods.

Citation Download Citation

Soo-Jin Lee "Simultaneous reconstruction and edge detection of transmission images in emission computed tomography", Proc. SPIE 4472, Applications of Digital Image Processing XXIV, (7 December 2001); https://doi.org/10.1117/12.449786

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