The X-Ray Transform Projection of 3D Mother Wavelet Function
Joint Authors
Lu, Li
Yang, Xiangyu
Zeng, Li
Guo, Jiqiang
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
As we all know, any practical computed tomography (CT) projection data more or less contains noises.
Hence, it will be inconvenient for the postprocessing of a reconstructed 3D image even when the noise in the projection data is white.
The reason is that the noise in the reconstructed image may be nonwhite.
X-ray transform can be applied to the three dimensional (3D) CT, depicting the relationship between material density and ray projection.
In this paper, nontensor product relationship between the two dimensional (2D) mother wavelet and 3D mother wavelet is obtained by taking X-ray transform projection of 3D mother wavelet.
We proved that the projection of the 3D mother wavelet is a 2D mother wavelet if the 3D mother wavelet satisfies certain conditions.
So, the 3D wavelet transform of a 3D image can be implemented by the 2D wavelet transform of its X-ray transform projection and it will contribute to the reduction complexity and computation time during image processing.
What is more, it can also avoid noise transfer and amplification during the processing of CT image reconstruction.
American Psychological Association (APA)
Yang, Xiangyu& Guo, Jiqiang& Lu, Li& Zeng, Li. 2013. The X-Ray Transform Projection of 3D Mother Wavelet Function. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-496190
Modern Language Association (MLA)
Yang, Xiangyu…[et al.]. The X-Ray Transform Projection of 3D Mother Wavelet Function. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-496190
American Medical Association (AMA)
Yang, Xiangyu& Guo, Jiqiang& Lu, Li& Zeng, Li. The X-Ray Transform Projection of 3D Mother Wavelet Function. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-496190
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496190