In this Letter, we propose a preconditioning method to improve the convergence speed of iterative reconstruction algorithms in a compact, multidimensional, compound-eye imaging system called the thin observation module by bound optics. The condition number of the system matrix is improved by using a preconditioner matrix. To calculate the preconditioner matrix, the system model is expressed in the frequency domain. The proposed method is simulated by using a compressive sensing algorithm called the two-step iterative shrinkage/thresholding algorithm. The results showed improved reconstruction fidelity with a certain number of iterations for high signal-to-noise ratio measurements.
© 2011 Optical Society of America
Original Manuscript: February 8, 2011
Revised Manuscript: April 12, 2011
Manuscript Accepted: April 26, 2011
Published: May 27, 2011
Ryoichi Horisaki and Jun Tanida, "Preconditioning for multidimensional TOMBO imaging," Opt. Lett. 36, 2071-2073 (2011)