Abstract/Details

Image reconstruction from radon transform data

Zhang, Minxie. 
 University of Connecticut ProQuest Dissertations Publishing,  1993. 9406067.

Abstract (summary)

The convolution type summability reconstruction method via Radon transform data was introduced in (11) and extended in (12, 13, 16). This method totally depends upon the selection of radial polynomial convolution kernel K and the construction of the corresponding modified kernels $h\sb{i}$'s.

In this thesis, we introduce two families of positive radial polynomial kernels which are expressed in terms of the classical Jacoby polynomials. We show that the new positive radial polynomial kernels satisfy certain moment conditions and construct several types of the corresponding modified kernels which are conveniently written in terms of the Chebychev polynomials of the second kind. The resulting approximate reconstruction is asymptotically optimal.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
Image reconstruction from radon transform data
Author
Zhang, Minxie
Number of pages
74
Degree date
1993
School code
0056
Source
DAI-B 54/09, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-207-52595-2
Advisor
Madych, Wolodymyr R.
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9406067
ProQuest document ID
304026486
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/304026486/abstract