Journal ArticleDOI
Image Reconstruction from Cone-Beam Projections: Necessary and Sufficient Conditions and Reconstruction Methods
TLDR
Previously unknown sufficient conditions, a necessary condition, and reconstruction methods for image reconstruction from cone-beam projections are developed, and by requiring additional conditions on the configuration of source points a more efficient reconstruction method is developed.Abstract:
Previously unknown sufficient conditions, a necessary condition, and reconstruction methods for image reconstruction from cone-beam projections are developed. A sufficient condition developed is contained in the following statement. Statement 5: If one every plane that intersects the object, there exists at least one cone-beam source point, then the object can be reconstructed. Reconstruction methods for an arbitrary configuration of source points that satisfy Statement 5 are derived. By requiring additional conditions on the configuration of source points, a more efficient reconstruction method is developed. It is shown that when the configuration of source points is a circle, Statement 5 is not satisfied. In spite of this, several suggestions are made for reconstruction from a circle of source points.read more
Citations
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Book ChapterDOI
Mathematical framework of cone beam 3D reconstruction via the first derivative of the radon transform
TL;DR: In this article, a 3D map f of the local density of an X-ray source is described by the 3D transform of the function f. This model can be applied to emission tomography when cone beam collimators are used.
Journal ArticleDOI
Low-dose megavoltage cone-beam CT for radiation therapy.
Jean Pouliot,Ali Bani-Hashemi,Josephine Chen,Michelle Marie Svatos,Farhad A. Ghelmansarai,Matthias Mitschke,Michele Aubin,Ping Xia,Olivier Morin,K. Bucci,Mack Roach,Paco Hernandez,Zirao Zheng,Dimitre Hristov,Lynn J. Verhey +14 more
TL;DR: The quality of these images, along with the rapid acquisition and reconstruction times, demonstrates that MV CBCT performed by use of a standard linear accelerator equipped with a flat-panel imager can be applied clinically for patient alignment and dose verification purposes.
Journal ArticleDOI
A general cone-beam reconstruction algorithm
TL;DR: A general cone-beam reconstruction algorithm that allows various scanning loci, handles reconstruction of rod-shaped specimens which are common in practice, and facilitates near real-time reconstruction by providing the same computational efficiency and parallelism as L.A. Feldkamp et al.'s (1984).
Journal ArticleDOI
A comparison of reconstruction algorithms for breast tomosynthesis.
TL;DR: It was shown in both phantom imaging and patient imaging that the BP algorithm provided the best SDNR for low-contrast masses but the conspicuity of the feature details was limited by interplane artifacts; the FBP algorithms provided the highest edge sharpness for microcalcifications but the quality of masses was poor.
Journal ArticleDOI
Cone-beam volume CT breast imaging: feasibility study.
Biao Chen,Ruola Ning +1 more
TL;DR: The preliminary simulation results support the proposed CVBCTBI modality for breast imaging in respect to its feasibility and practicability and the proposed imaging technique with isotropic spatial resolution will potentially provide significantly better low-contrast detectability of breast tumors and more accurate location of breast lesions.
References
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Journal ArticleDOI
Image Restoration by the Method of Convex Projections: Part 1ߞTheory
D. C. Youla,H. Webb +1 more
TL;DR: In this article, a projection operator onto a closed convex set in Hilbert space is proposed for image restoration from partial data which permits any number of nonlinear constraints of a certain type to be subsumed automatically.
Journal ArticleDOI
An inversion formula for cone-beam reconstruction*
TL;DR: In this paper, an analytic inversion formula allowing the reconstruction of a 3D object from x-ray cone-beams is given, for the case where the source of the beams describes a bounded curve satisfying a set of weak conditions.
Journal ArticleDOI
Fully-three-dimensional positron emission tomography
TL;DR: Fully three-dimensional positron emission tomography is considered and a reconstruction algorithm derived that is computationally feasible and results in accurate reconstructions.
Journal ArticleDOI