Estimation of atmospheric PSF parameters for hyperspectral imaging

Abstract

We present an iterative approach to solve separable nonlinear least squares problems arising in the estimation of wavelength‐dependent point spread function parameters for hyperspectral imaging. A variable projection Gauss–Newton method is used to solve the nonlinear least squares problem. An analysis shows that the Jacobian can be potentially very ill conditioned. To deal with this ill conditioning, we use a combination of subset selection and other regularization techniques. Experimental results related to hyperspectral point spread function parameter identification and star spectrum reconstruction illustrate the effectiveness of the resulting numerical scheme. Copyright © 2015 John Wiley & Sons, Ltd.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 11, 2015
Source ID
10.1002/nla.1986

Entities

People

  • James G. Nagy
  • Robert J. Plemmons
  • Sebastian Berisha

Organizations

  • Air Force Office of Scientific Research
  • Emory University
  • National Science Foundation
  • Wake Forest University

Tags

Fields of Study

  • Physics

Readers

  • Image Processing and Computer Vision.
  • Operations Research