TY - GEN

T1 - Parametric image reconstruction using the discrete cosine transform for optical tomograhy

AU - Gu, Xuejun

AU - Ren, Kui

AU - Masciotti, James

AU - Hielscher, Andreas H.

PY - 2007/4/30

Y1 - 2007/4/30

N2 - It is well know that the inverse problem in optical tomography is highly ill-posed. The image reconstruction process is often unstable and non-unique, because the number of the boundary measurements data is far fewer than the number of the unknown parameters (optical properties) to be reconstructed. To overcome this problem one can either increase the number of measurement data (e.g. multi-spectral or mulit-frequency methods), or reduce the number of unknows (e.g. using prior structural information from other imaging modalities). In this paper, we introduce a novel approach for reducing the unknown parameters in the reconstruction process. The discrete cosine transform (DCT), which has long been used in image compression, is here employed to parameterize the reconstructed image. In general, only a few DCT coefficient are needed to describe the main features in an image, and the number of unknowns in the image reconstruction process can be drastically reduced. Numerical as well as experimental examples are shown that illustrate the performance of the new code.

AB - It is well know that the inverse problem in optical tomography is highly ill-posed. The image reconstruction process is often unstable and non-unique, because the number of the boundary measurements data is far fewer than the number of the unknown parameters (optical properties) to be reconstructed. To overcome this problem one can either increase the number of measurement data (e.g. multi-spectral or mulit-frequency methods), or reduce the number of unknows (e.g. using prior structural information from other imaging modalities). In this paper, we introduce a novel approach for reducing the unknown parameters in the reconstruction process. The discrete cosine transform (DCT), which has long been used in image compression, is here employed to parameterize the reconstructed image. In general, only a few DCT coefficient are needed to describe the main features in an image, and the number of unknowns in the image reconstruction process can be drastically reduced. Numerical as well as experimental examples are shown that illustrate the performance of the new code.

KW - Discrete cosine transform

KW - Equation of radiative transfer

KW - Optical tomography

UR - http://www.scopus.com/inward/record.url?scp=34247340204&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34247340204&partnerID=8YFLogxK

U2 - 10.1117/12.705556

DO - 10.1117/12.705556

M3 - Conference contribution

AN - SCOPUS:34247340204

SN - 081946547X

SN - 9780819465474

T3 - Progress in Biomedical Optics and Imaging - Proceedings of SPIE

BT - Optical Tomography and Spectroscopy of Tissue VII

T2 - Optical Tomography and Spectroscopy of Tissue VII

Y2 - 21 January 2007 through 24 January 2007

ER -