Rotation invariance principles in 2D/3D registration

Wolfgang Birkfellner; Joachim Wirth; Wolfgang Burgstaller; Bernard Baumann; Harald Staedele; Beat Hammer; Niels Claudius Gellrich; Augustinus Ludwig Jacob; Pietro Regazzoni; Peter Messmer

doi:10.1117/12.482406

30 May 2003 Rotation invariance principles in 2D/3D registration

Wolfgang Birkfellner, Joachim Wirth, Wolfgang Burgstaller, Bernard Baumann, Harald Staedele, Beat Hammer, Niels Claudius Gellrich, Augustinus Ludwig Jacob, Pietro Regazzoni, Peter Messmer

Author Affiliations +

Proceedings Volume 5029, Medical Imaging 2003: Visualization, Image-Guided Procedures, and Display; (2003) https://doi.org/10.1117/12.482406
Event: Medical Imaging 2003, 2003, San Diego, California, United States

Abstract

2D/3D patient-to-computed tomography (CT) registration is a method to determine a transformation that maps two coordinate systems by comparing a projection image rendered from CT to a real projection image. Applications include exact patient positioning in radiation therapy, calibration of surgical robots, and pose estimation in computer-aided surgery. One of the problems associated with 2D/3D registration is the fast that finding a registration includes sovling a minimization problem in six degrees-of-freedom in motion. This results in considerable time expenses since for each iteration step at least one volume rendering has to be computed. We show that by choosing an appropriate world coordinate system and by applying a 2D/2D registration method in each iteration step, the number of iterations can be grossly reduced from n⁶ to n⁵. Here, n is the number of discrete variations aroudn a given coordinate. Depending on the configuration of the optimization algorithm, this reduces the total number of iterations necessary to at least 1/3 of its original value. The method was implemented and extensively tested on simulated x-ray images of a pelvis. We conclude that this hardware-indepenent optimization of 2D/3D registration is a step towards increasing the acceptance of this promising method for a wide number of clinical applications.

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Wolfgang Birkfellner, Joachim Wirth, Wolfgang Burgstaller, Bernard Baumann, Harald Staedele, Beat Hammer, Niels Claudius Gellrich, Augustinus Ludwig Jacob, Pietro Regazzoni, and Peter Messmer "Rotation invariance principles in 2D/3D registration", Proc. SPIE 5029, Medical Imaging 2003: Visualization, Image-Guided Procedures, and Display, (30 May 2003); https://doi.org/10.1117/12.482406

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KEYWORDS

Image registration

X-rays

X-ray imaging

Surgery

Image resolution

X-ray computed tomography

Calibration

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