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oai:recercat.cat:2117/248942026-02-02T09:15:21Zcom_2072_1033col_2072_452950

Unconstrained L1-regularized minimization with interpolated transformations for heart motion compensation Avilés Rivero, Angélica Ivone Sobrevilla Frisón, Pilar Casals Gelpí, Alicia Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II Institut de Bioenginyeria de Catalunya Universitat Politècnica de Catalunya. ICAIB - Grup de Recerca en Intel ligència Computacional per a l'Anàlisi d'Imatge Biomèdica Universitat Politècnica de Catalunya. GRINS - Grup de Recerca en Robòtica Intel·ligent i Sistemes Àrees temàtiques de la UPC::Informàtica::Intel·ligència artificial::Agents intel·ligents Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Bioinformàtica Heart beat Cor -- Batecs Motion compensation constitutes a challenging issue in minimally invasive beating heart surgery. Since the zone to be repaired has a dynamic behaviour, precision and surgeon's dexterity decrease. In order to solve this problem, various proposals have been presented using l2-norm. However, as they present some limitations in terms of robustness and efficiency, motion compensation is still considered an open problem. In this work, a solution based on the class of l1-Regularized Optimization is proposed. It has been selected due to its mathematical properties and practical benefits. In particular, deformation is characterized by cubic B-splines since they offer an excellent balance between computational cost and accuracy. Moreover, due to the non-differentiability of the functional, the logarithmic barrier function is used for generating a standard optimization problem. Results have provided a very good trade-off between accuracy and efficiency, indicating the potential of the proposed approach and proving its stability even under complex deformations. Peer Reviewed Postprint (published version) 2014 Conference report Aviles, A.; Sobrevilla, P.; Casals, A. Unconstrained L1-regularized minimization with interpolated transformations for heart motion compensation. A: IEEE Engineering in Medicine and Biology Society. "Proceedings of the 36th. Annual International Conference of the IEEE Engineering in Medicine and Biology Society". Chicago: 2014, p. 5109-5112. https://hdl.handle.net/2117/24894 10.1109/EMBC.2014.6944774 eng http://emb.citengine.com/event/embc-2014/paper-details?pdID=1855 Restricted access - publisher's policy 4 p. application/pdf