Towards a theory of a solution space for the biplane imaging geometry problem.

Towards a theory of a solution space for the biplane imaging geometry problem. Research Abstract Details 

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Towards a theory of a solution space for the biplane imaging geometry problem. Abstract Text:

Vikas Singh,Jinhui Xu,Kenneth R Hoffmann,Guang Xu,Zhenming Chen,Anant Gopal,

Biplane angiographic imaging is a primary method for visual and quantitative assessment of the vasculature. In order to reliably reconstruct the three-dimensional (3D) position, orientation, and shape of the vessel structure, a key problem is to determine the rotation matrix R and the translation vector t which relate the two coordinate systems. This so-called Imaging Geometry Determination problem is well studied in the medical imaging and computer vision communities and a number of interesting approaches have been reported. Each such technique determines a solution which yields 3D vasculature reconstructions with errors comparable to other techniques. From the literature, we see that different techniques with different optimization strategies yield reconstructions with equivalent errors. We have investigated this behavior, and it appears that the error in the input data leads to this equivalence effectively yielding what we call the solution space of feasible geometries, i.e., geometries which could be solutions given the error or uncertainty in the input image data. In this paper, we lay the theoretical framework for this concept of a solution space of feasible geometries using simple schematic constructions, deriving the underlying mathematical relationships, presenting implementation details, and discussing implications and applications of the proposed idea. Because the solution space of feasible geometries encompasses equivalent solutions given the input error, the solution space approach can be used to evaluate the precision of calculated geometries or 3D data based on known or estimated uncertainties in the input image data. We also use the solution space approach to calculate an imaging geometry, i.e., a solution.

Towards a theory of a solution space for the biplane imaging geometry problem. Publishing Authors By Initials

V Singh,J Xu,KR Hoffmann,G Xu,Z Chen,A Gopal,

For similar natural sciences: science: research: research design research abstracts see: natural sciences: science: research: research design research

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Towards a theory of a solution space for the biplane imaging geometry problem. Journal Published:

PUBLICATION TYPE: Research Support, Non-U.S. Gov

Journal: Medical physics

VOLUME: 33

Page Numbers: 3647-65

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ISSN: 0094-2405

DAY: 3

MONTH: Oct

YEAR: 2006

Towards a theory of a solution space for the biplane imaging geometry problem. Information

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LANGUAGE: eng

NlmUniqueID: 425746

Towards a theory of a solution space for the biplane imaging geometry problem. Keywords Mesh Terms:

KEYWORDS: Research Design

MESH TERMS: methods

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Grant and Affiliation Information for Towards a theory of a solution space for the biplane imaging geometry problem.

AFFILIATION: Department of Computer Science and Engineering, State University of New York at Buffalo, Buffalo, New York 14260, USA. vsingh@cse.buffalo.edu

Country: United States

AGENCY: United States NHLBI

GRANT: HL 52567

ACRONYM: HL

MEDLINETA: Med Phys

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