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Unconstrained L1-regularized minimization with interpolated transformations for heart motion compensation

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10.1109/EMBC.2014.6944774
 
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hdl:2117/24894

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Avilés Rivero, Angélica Ivone
Sobrevilla Frisón, PilarMés informació
Casals Gelpi, AliciaMés informacióMés informacióMés informació
Document typeConference report
Defense date2014
Rights accessRestricted access - publisher's policy
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
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.
CitationAviles, 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. 
URIhttp://hdl.handle.net/2117/24894
DOI10.1109/EMBC.2014.6944774
Publisher versionhttp://emb.citengine.com/event/embc-2014/paper-details?pdID=1855
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  • IBEC - Institute for Bioengineering of Catalonia - Ponències/Comunicacions de congressos [75]
  • GRINS - Grup de Recerca en Robòtica Intel·ligent i Sistemes - Ponències/Comunicacions de congressos [58]
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