Development of a high-performance noise-reduction filter for tomographic reconstruction

Chien-Min Kao; Xiaochuan Pan

doi:10.1117/12.431060

3 July 2001 Development of a high-performance noise-reduction filter for tomographic reconstruction

Chien-Min Kao, Xiaochuan Pan

Proceedings Volume 4322, Medical Imaging 2001: Image Processing; (2001) https://doi.org/10.1117/12.431060
Event: Medical Imaging 2001, 2001, San Diego, CA, United States

Abstract

We propose a new noise-reduction method for tomographic reconstruction. The method incorporates a priori information on the source image for allowing the derivation of the energy spectrum of its ideal sinogram. In combination with the energy spectrum of the Poisson noise in the measured sinogram, we are able to derive a Wiener-like filter for effective suppression of the sinogram noise. The filtered backprojection (FBP) algorithm, with a ramp filter, is then applied to the filtered sinogram to produce tomographic images. The resulting filter has a closed-form expression in the frequency space and contains a single user-adjustable regularization parameter. The proposed method is hence simple to implement and easy to use. In contrast to the ad hoc apodizing windows, such as Hanning and Butterworth filters, that are commonly used in the conventional FBP reconstruction, the proposed filter is theoretically more rigorous as it is derived by basing upon an optimization criterion, subject to a known class of source image intensity distributions.

Citation Download Citation

Chien-Min Kao and Xiaochuan Pan "Development of a high-performance noise-reduction filter for tomographic reconstruction", Proc. SPIE 4322, Medical Imaging 2001: Image Processing, (3 July 2001); https://doi.org/10.1117/12.431060

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