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Entropy 2014, 16(3), 1632-1651; doi:10.3390/e16031632

The Superiority of Tsallis Entropy over Traditional Cost Functions for Brain MRI and SPECT Registration

1
Center of Imaging Sciences and Medical Physics, Internal Medicine Department and Graduate Program, Ribeirão Preto Medical School, University of São Paulo, Ribeirão Preto 14049-900, Brazil
2
Nuclear Medicine Section, Ribeirão Preto Medical School, University of São Paulo, Ribeirão Preto 14049-900, Brazil
3
Bioengineering Interunits Graduate Program, São Carlos School of Engineering, University of São Paulo, São Carlos 13566-590, Brazil
4
Department of Computing and Mathematics, University of São Paulo, Ribeirão Preto 14040-901, Brazil
5
The Center Interdisciplinary Research on Applied Neurosciences (NAPNA), University of São Paulo, São Paulo 05403-010, Brazil
6
Department of Computer Science, University College London, London WC1E 6BT, UK
*
Author to whom correspondence should be addressed.
Received: 31 January 2014 / Revised: 25 February 2014 / Accepted: 12 March 2014 / Published: 21 March 2014
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Abstract

Neuroimage registration has an important role in clinical (for both diagnostic and therapeutic purposes) and research applications. In this article we describe the applicability of Tsallis Entropy as a new cost function for neuroimage registration through a comparative analysis based on the performance of the traditional approaches (correlation based: Entropy Correlation Coefficient (ECC) and Normalized Cross Correlation (NCC); and Mutual Information (MI) based: Mutual Information using Shannon Entropy (MIS) and Normalized Mutual Information (NMI)) and the proposed one based on MI using Tsallis entropy (MIT). We created phantoms with known geometric transformations using Single Photon Emission Computed Tomography (SPECT) and Magnetic Resonance Imaging from 3 morphologically normal subjects. The simulated volumes were registered to the original ones using both the proposed and traditional approaches. The comparative analysis of the Relative Error (RE) showed that MIT was more accurate in the intra-modality registration, whereas for inter-modality registration, MIT presented the lowest RE for rotational transformations, and the ECC the lowest RE for translational transformations. In conclusion, we have shown that, with certain limitations, Tsallis Entropy has application as a better cost function for reliable neuroimage registration. View Full-Text
Keywords: neuroimaging; registration; SPECT; MRI; mutual information; Tsallis entropy neuroimaging; registration; SPECT; MRI; mutual information; Tsallis entropy
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Amaral-Silva, H.; Wichert-Ana, L.; Murta, L.O.; Romualdo-Suzuki, L.; Itikawa, E.; Bussato, G.F.; Azevedo-Marques, P. The Superiority of Tsallis Entropy over Traditional Cost Functions for Brain MRI and SPECT Registration. Entropy 2014, 16, 1632-1651.

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