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

A triangular radial cubic spline deformation model for efficient 3D beating heart tracking 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 $$^{\tiny \textregistered }$$ ® surgical system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Signal, Image and Video Processing" Springer Journals

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

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Publisher
Springer London
Copyright
Copyright © 2017 by Springer-Verlag London
Subject
Engineering; Signal,Image and Speech Processing; Image Processing and Computer Vision; Computer Imaging, Vision, Pattern Recognition and Graphics; Multimedia Information Systems
ISSN
1863-1703
eISSN
1863-1711
D.O.I.
10.1007/s11760-017-1090-y
Publisher site
See Article on Publisher Site

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 $$^{\tiny \textregistered }$$ ® surgical system.

Journal

"Signal, Image and Video Processing"Springer Journals

Published: Apr 7, 2017

References

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