Multifunction extension of simplex optimization method for mutual information-based registration of ultrasound volumes

Vladimir Zagrodsky; Raj Shekhar; J. Fredrick Cornhill

doi:10.1117/12.431124

3 July 2001 Multifunction extension of simplex optimization method for mutual information-based registration of ultrasound volumes

Vladimir Zagrodsky, Raj Shekhar, J. Fredrick Cornhill

Author Affiliations +

Proceedings Volume 4322, Medical Imaging 2001: Image Processing; (2001) https://doi.org/10.1117/12.431124
Event: Medical Imaging 2001, 2001, San Diego, CA, United States

Abstract

Mutual information has been demonstrated to be an accurate and reliable criterion function to perform registration of medical data. Due to speckle noise, ultrasound volumes do not provide a smooth mutual information function. Consequently the optimization technique used must be robust enough to avoid local maxima and converge on the desired global maximum eventually. While the well-known downhill simplex optimization uses a single criterion function, our extension to multi-function optimization uses three criterion functions, namely mutual information computed at three levels of intensity quantization and hence three degrees of noise suppression. Registration was performed with rigid as well as simple non-rigid transformation modes for real-time 3D ultrasound datasets of the left ventricle. Pairs of frames corresponding to the most stationary end- diastolic cardiac phase were chosen, and an initial misalignment was artificially introduced between them. The multi-function simplex optimization reduced the failure rate by a factor of two in comparison to the standard simplex optimization, while the average accuracy for the successful cases was unchanged. A more robust registration resulted form the parallel use of criterion functions. The additional computational cost was negligible, as each of the three implementations of the mutual information used the same joint histogram and required no extra spatial transformation.

Citation Download Citation

Vladimir Zagrodsky, Raj Shekhar, and J. Fredrick Cornhill "Multifunction extension of simplex optimization method for mutual information-based registration of ultrasound volumes", Proc. SPIE 4322, Medical Imaging 2001: Image Processing, (3 July 2001); https://doi.org/10.1117/12.431124

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