Phase diversity wavefront sensing is a methodology for estimating wavefront aberrations by solving an unconstrained
optimization problem from multiple images whose pupil phases differ from one another with a known amount. Due to
the large number of unknowns, an efficient numerical technique is required. In this paper, a cost function with
appropriate stabilization is given by using least square estimate. Various optimization methods for minimizing the cost
function are compared in numerical simulations when the wavefront is described by Zernike polynomials (modal method)
and a set of individual pixel values (zonal method). The results show that, because of the less unknown parameters,
modal method can achieve higher accuracy than zonal method by using the steepest descent method and the conjugate
gradient method. In the solving process, the zonal method has a large number of unknown parameters, thereby it has a
lower stability and it is easy to fall into a local extremum. Fortunately, the L-BFGS method can improve this problem
efficiently. For its good performance in solving large scale optimization problems, the L-BFGS method is very suited to
PD wavefront estimate.
The performance of a remote sensing imaging system is often degraded by wave-front aberrations that introduced by
different sources such as the atmospheric disturbance and the aberrations of the optical system. A new remote sensing
imaging system based on phase diversity (PD) method which does not need a priori information and has simple
configuration and high reliability, is designed in this paper. The process of image reconstruction based on PD method is
simulated according to the characteristics of space and aerial remote sensing imaging system. The index of energy
gradient function of the image obtained by using PD method is improved greatly. The simulation results prove that PD
method has special potential to improve the image quality in remote sensing imaging system.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.