Efficient Algorithms for Determining 3-D Bi-Plane Imaging Geometry

Jinhui Xu (), Guang Xu (), Zhenming Chen (), Vikas Singh () and Kenneth R. Hoffmann ()
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Jinhui Xu: State University of New York at Buffalo
Guang Xu: State University of New York at Buffalo
Zhenming Chen: State University of New York at Buffalo
Vikas Singh: State University of New York at Buffalo
Kenneth R. Hoffmann: State University of New York at Buffalo

Journal of Combinatorial Optimization, 2005, vol. 10, issue 2, No 2, 113-132

Abstract: Abstract Biplane projection imaging is one of the primary methods for imaging and visualizing the cardiovascular system in medicine. A key problem in such a technique is to determine the imaging geometry (i.e., the relative rotation and translation) of two projections so that the 3-D structure can be accurately reconstructed. Based on interesting observations and efficient geometric techniques, we present in this paper new algorithmic solutions for this problem. Comparing with existing optimization-based approaches, our techniques yield better accuracy and have bounded execution time, thus is more suitable for on-line applications. Our techniques can easily detect outliers to further improve the accuracy.

Keywords: bi-plane imaging geometry; computational geometry; arrangement; plane sweep (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10878-005-2266-x

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