The reconstruction of an image distorted by a linear transformation is a problem that is unstable with respect to the perturbation of the mathematical model of the image formation. This instability is overcome by using a priori information about the class of original images. Among the ways to use such information, there is an assumption that the original image belongs to the class of piecewise constant images. The class of piecewise constant functions can provide a good approximation for signals encountered in practice since such functions can approximate any square-integrable signal with arbitrary accuracy. On the other hand, the assumption that the brightness value of the image takes a finite set of values is plausible for some applied studies. Such a proposal, in particular, is made in the tomography, where studied samples can consist of a small number of fractions. In this paper, we propose an algorithm for reconstruction of piecewise constant signals blurred by a linear transformation and investigate the possibility of its application to the original unblurred signal estimation. For ease of implementation, the case of one-dimensional signals is considered.
Numerical model for simulation of generation process in advanced pulse-periodic high-peak-power picosecond diode-pumped Nd:YAG and Nd:YLF lasers has been developed. The model adequately describes picosecond pulse formation governed by active and passive mode-locking, negative feedback and adjustable loss level in the oscillator cavity. Optical jitter of output pulses attributed to laser generation development from spontaneous noise level was evaluated using statistical analysis of calculation results. In the presented laser scheme, minimal jitter value on the level ~40 ps was estimated.
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.