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Aviles, A. I., Sobrevilla, P., Casals, A., (2014). In search of robustness and efficiency via l1− and l2− regularized optimization for physiological motion compensation International Journal of Medical, Health, Pharmaceutical and Biomedical Engineering XII International Conference on Agricultural, Biological and Ecosystems Sciences (ICABES 2014) , World Academy of Science, Engineering and Technology (WASET) (Geneva, Switzerland) 8, 501-506

Compensating physiological motion in the context of minimally invasive cardiac surgery has become an attractive issue since it outperforms traditional cardiac procedures offering remarkable benefits. Owing to space restrictions, computer vision techniques have proven to be the most practical and suitable solution. However, the lack of robustness and efficiency of existing methods make physiological motion compensation an open and challenging problem. This work focusses on increasing robustness and efficiency via exploration of the classes of l1- and l2-regularized optimization, emphasizing the use of explicit regularization. Both approaches are based on natural features of the heart using intensity information. Results pointed out the l1-regularized optimization class as the best since it offered the shortest computational cost, the smallest average error and it proved to work even under complex deformations.

Keywords: Motion Compensation, Optimization, Regularization, Beating Heart Surgery, Ill-posed problem