IJPAM: Volume 43, No. 1 (2008)
CONSTRAINTS IN LEAST-SQUARES
Department of Mathematical Sciences
University of Montana
Missoula, MT 59812-0864, USA
Department of Mathematics and Statistics
University of Tampere
Tampere, FI-33014, FINLAND
Chip Computers Consulting s.r.l.
82, Viale Don L. Sturzo 82, S. Liberale di Marcon, Venice, 30020, ITALY
Abstract.The incorporation of nonnegativity constraints in image reconstruction problems is known to have a stabilizing effect on solution methods. In this paper, we both demonstrate and provide an explanation of this phenomena when the image reconstruction problem of interest has least squares form. The benefits of using this natural constraint suggest the importance of incorporating a priori knowledge about solutions when possible. In fact, if this prior information is significantly strong, sophisticated likelihood functions and computational methods may not be necessary.
Received: December 10, 2007
AMS Subject Classification: 65F20
Key Words and Phrases: nonnegativity constraints, astronomical imaging, least squares
Source: International Journal of Pure and Applied Mathematics