컴프턴 카메라 영상재구성을 위한 타원 누적법
Ellipse-Stacking Methods for Image Reconstruction in Compton Cameras
0
조회
0
다운로드
1
인용
0
참고문헌
초록
Abstract
An efficient method for implementing image reconstruction algorithms for Compton cameras is presented. Since Compton scattering formula establishes a cone surface from which the incident photon must have originated, it is crucial to implement a computationally efficient cone-surface integration method for image reconstruction. In this paper we assume that a cone is made up of a series of ellipses (or circles) stacked up one on top of the other. In order to reduce computational burden for tracing ellipses formed by the intersection of a cone and an image plane, we propose a new method using a series of imaginary planes perpendicular to the cone axis so that each plane contains a circle, not an ellipse. In this case the cone surface integral can be performed by simply accumulating the circles along the cone axis. To reduce the computational cost of tracing circles, only one of the circles in the cone is traced and the rest are determined by using simple trigonometric ratios. For our experiments, we used the three different schemes for tracing ellipses; (i) using the samples generated by the ellipse equation, (ii) using the fixed number of samples along a circle on the imaginary plane, and (iii) using the fixed sampling interval along a circle on the imaginary plane. We then compared performance of the above three methods by applying them to the two reconstruction algorithms - the simple back-projection method and the expectation-maximization algorithm. The experimental results demonstrate that our proposed methods (ii) and (iii) using imaginary planes significantly improve reconstruction accuracy as well as computational efficiency.
참고문헌 (19)
- J. T Bushberg, "The Essential Physics of Medical Imaging" (2002), Lippincott Williams & Wilkins
- S. R. Cherry, "Physics in nuclear medicine" (2003)
- Y. F. Yang, "A compton camera for multi-tracer imaging", 48, pp.656~661 (2001)
- H. Takeici, "Gamma-ray Compton imaging of multitracer in bio-samples by strip germanium telescope", 4, pp.2152~2154 (2004)
- R. Basko, "Application of spherical harmonics to image reconstruction for the Compton camera", 43, pp.887~894 (1998)
- L. C. Parra, "Reconstruction of cone-beam projections from Compton scattered data", 47, pp.1543~1550 (2000)
- T. Tomitani, "Image reconstruction from limited angle Compton camera data", 47, pp.1009~1026 (2002)
- M. Hirasawa, "An analytical image reconstruction algorithm to compensate for scattering angle broadening in Compton cameras", 48, pp.1009~1026 (2003)
- B. Smith, "Reconstruction methods and completeness conditions for two Compton data models", 22(3), pp.445~459 (2005)
- D. Xu, "Filtered back-projection in 4π Compton imaging with a single 3D position sensitive CdZnTe detector", 53(5), pp.2787~2793 (2006)
- T. Hebert, "Three-dimensional maximum- likelihood reconstructin for a electronically collimated single-photon-emission imaging system", pp.1305~1313 (1990)
- A. C. Sauve, "3D image reconstruction for Compton SPECT camera model", 46, pp.2075~2084 (1999)
- A. H. Compton, "A quantum theory of the scattering of x-rays by light elements", 21, pp.483~502 (1923)
- S. M. Kim, "Two approaches to implementing projector-backprojector pairs for 3D reconstruction from Compton scattered data", 571, pp.255~258 (2007)
- R. Siddon, "Fast calculation of the exact radiological path for a 3D CT array", 12, pp.252~255 (1985)
- L. A. Shepp, "Maximum likelihood reconstruction for emission tomography", 1, pp.113~122 (1982)
- K. Lange, "EM reconstruction algorithms for emission and transmission tomography", 8, pp.306~316 (1984)
- J. M. Ollinger, "Positron emission tomography", pp.43~55 (1997)
- R. M. Lewitt, "Overview of methods for image reconstruction from projections in emission computed tomography", 91(10), pp.1588~1611 (2003)