Inverse problems in astronomy. A guide to inversion strategies for remotely sensed data
Abstract
After introducing the essential character of integral inversion problems and the bases of their occurrence in astronomy, attention is given to standard integral equations arising in astronomical situations. The main analytic properties of integral inversion problems are presented, and the naive 'classical' approach to inversion for numerical data is illustrated to demonstrate the intrinsic instability of this approach. This instability is overcome by nonclassical regularization techniques; the application of methods incorporating 'smoothness constraints' and 'nonnegativity' to several numerical case studies for contemporary astronomical research problems is demonstrated.
- Publication:
-
Bristol: Hilger
- Pub Date:
- 1986
- Bibcode:
- 1986ipag.book.....C
- Keywords:
-
- Astronomy;
- Convolution Integrals;
- Data Processing;
- Functional Analysis;
- Integral Equations;
- Bremsstrahlung;
- Fourier Transformation;
- Fredholm Equations;
- Laplace Transformation;
- Linear Equations;
- Numerical Stability;
- Solar Flares;
- Star Distribution;
- Volterra Equations;
- Astronomy;
- REMOTE SENSING;
- DATA PROCESSING