A New Stable Algorithm for Abel Inversion Using Bernstein Polynomials

作者:Singh Om P*; Singh Vineet K; Pandey Rajesh K
来源:International Journal of Nonlinear Sciences and Numerical Simulation, 2009, 10(5): 681-685.
DOI:10.1515/ijnsns.2009.10.5.681

摘要

Many problems in physics like reconstruction of the radially distributed emissivity from the line-of-sight projected intensity, the 3-D image reconstruction from cone-beam projections in computerized tomography, etc. lead naturally, in the case of radial symmetry, to the study of Abel's type integral equation. The aim of this communication is to propose a new stable algorithm for Abel inversion based on the newly constructed almost Bernstein operational matrix of integration of order 6.

  • 出版日期2009-5

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