A LEAST SQUARES PROBLEM IN GAMMA RAY TRANSMISSION TOMOGRAPHY |
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| Carlos C. Dantas, Bruna G. M. Araújo, Valdemir A. dos Santos, Christine L. L. Finkler, Eric F. de Oliveira, Silvio B. Melo, M. Graça dos Santos |
- Abstract:
- The results in single beam gamma transmission tomography are presented by an image processing based on the Algebraic Reconstruction Technique - ART. The mathematical reconstruction was carried out by Bezier triangles with Bernstein polynomials, and also by spline functions, and as a matter of comparison the Filtered Backprojection - FBP method was used. The image processing reconstructs the FCC (fluidized catalytic cracking) catalyst density distribution in an experimental riser. Typical problems are characterized as reconstruction models involve the inverse problem, basis function and solution of linear system of equations. A least squares estimator is required for the numerical solution, the model parameters are evaluated, and a comparison with literature values is carried out.
- Keywords:
- mathematical reconstruction, catalyst density, single beam tomography
- Download:
- IMEKO-WC-2009-TC7-654.pdf
- DOI:
- -
- Event details
- Event name:
- XIX IMEKO World Congress
- Title:
Fundamental and Applied Metrology
- Place:
- Lisbon, PORTUGAL
- Time:
- 06 September 2009 - 11 September 2009