title: Preconditioning for multidimensional TOMBO imaging.
abstract: 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.
authors.affiliation: Department of Information and Physical Sciences, Graduate School of Information Science and Technology, Osaka University, 1-5 Yamadaoka, Suita, Osaka 565-0871, Japan. r.horisaki@ist.osaka‐u.ac.jp
authors.forename: Ryoichi
authors.initials: R
authors.lastname: Horisaki
authors.forename: Jun
authors.initials: J
authors.lastname: Tanida