A triangular radial cubic spline deformation model for efficient 3D beating heart tracking - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Journal Articles Signal, Image and Video Processing Year : 2017

A triangular radial cubic spline deformation model for efficient 3D beating heart tracking

Abstract

A novel deformable model is proposed for efficient 3D visual tracking of beating heart. The model is parameterized by the 3D coordinates of four control points: the three vertices and the circumcenter of a triangular target region. Nonlinear deformation on heart surfaces is handled by cubic spline interpolation based on radial pixel distances from the circumcenter. With a pre-computable design matrix, the model can be represented efficiently by a simple matrix equation. An iterative algorithm is developed based on the efficient second-order minimization to compute model parameters at each frame. The proposed tracking method is validated on the stereo-endoscopic videos of phantom heart and in vivo heart that are recorded by the da Vinci ® surgical system.
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Dates and versions

lirmm-01624764 , version 1 (26-10-2017)

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Bo Yang, Chao Liu, Keli Huang, Wenfeng Zheng. A triangular radial cubic spline deformation model for efficient 3D beating heart tracking. Signal, Image and Video Processing, 2017, 11 (7), pp.1329-1336. ⟨10.1007/s11760-017-1090-y⟩. ⟨lirmm-01624764⟩
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