A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images

作者：Bergounioux M^*; Trelat E

来源：Journal of Functional Analysis, 2010, 259(9): 2296-2332.

DOI：10.1016/j.jfa.2010.05.016

• Radon operator
• Fractional order Hilbert spaces
• Minimization

We provide in this article a refined functional analysis of the Radon operator restricted to axisymmetric functions, and show that it enjoys strong regularity properties in fractional order Hilbert spaces This study is motivated by a problem of tomographic reconstruction of binary axially symmetric objects, for which we have available one single blurred and noised snapshot We propose a variational approach to handle this problem, consisting in solving a minimization problem settled in adapted fraction

• 出版日期2010-11-1