Journal ArticleDOI
Optimal binary phase-only matched filters
TLDR
This paper first develops a theory for optimal binary phase-only filters and then presents a numerical algorithm which designs the optimal binaryphase-only matched filter for a given image.Abstract:
Many spatial light modulators and computer-generated hologram techniques can very efficiently implement binary phase-only filters. At present, almost all binary phase-only filters are designed by first designing a matched spatial filter and then binarizing it. There is no theoretical basis to expect that such a filter will be optimal. This paper first develops a theory for optimal binary phase-only filters and then presents a numerical algorithm which designs the optimal binary phase-only matched filter for a given image. The filter is optimal in the matched filter sense of maximizing SNR at the output origin. Characteristics of the optimal filter compared to conventional binary phase-only filters are discussed.read more
Citations
More filters
Optimal realizable filters and the minimum Euclidean distance principle. [for spatial light modulators]
TL;DR: In this paper, the Euclidean distance minimization in the complex plane optimizes a wide class of correlation metrics for filters implemented on realistic devices, including spatial light modulators, additive input noise (white or colored), spatially nonuniform filter modulators and additive correlation detection noise (including signaldependent noise).
Journal ArticleDOI
Optimal realizable filters and the minimum Euclidean distance principle.
TL;DR: Minimizing a Euclidean distance in the complex plane optimizes a wide class of correlation metrics for filters implemented on realistic devices and extends optimal partial information filter theory to arbitrary spatial light modulators.
Book ChapterDOI
III The Theory of Optimal Methods for Localization of Objects in Pictures
TL;DR: The chapter analyzes the factors, such as signal-independent noise and the treatment of the most general situation of pictures with a cluttered background, and provides a general analysis of the potential accuracy and the reliability of object localization in the presence of additive Gaussian noise.
Journal ArticleDOI
Design of binary-phase and multiphase Fourier gratings for array generation
TL;DR: In this paper, a review and comparison of design procedures for binary-phase and multiphase Fourier gratings used as array generators is presented, and examples of grating design using the different techniques are presented.
Journal ArticleDOI
Simulated annealing algorithm for binary phase only filters in pattern classification
Myung Soo Kim,Clark C. Guest +1 more
TL;DR: Characters that cannot be distinguished with conventional filter encoding methods are clearly distinguished with the optimized binary phase only filter using a simulated annealing algorithm.
References
More filters
Journal ArticleDOI
The importance of phase in signals
Alan V. Oppenheim,Jae Lim +1 more
TL;DR: Specific conditions under which a sequence can be exactly reconstructed from phase are reviewed, both for one-dimensional and multi-dimensional sequences, and algorithms for both approximate and exact reconstruction of signals from phase information are presented.
Journal ArticleDOI
Signal detection by complex spatial filtering
TL;DR: The experimental results obtained to date indicate that this technique provides an excellent two-dimensional filtering capability that will play a key role in such problems as shape recognition and signal detection.
Journal ArticleDOI
Phase-only matched filtering
TL;DR: This work examines the relationship between phase and amplitude in the case of alphanumeric characters, with and without noise, using a computer simulation and compares the phase-only and amplitude-only filters to the classical matched filter using the criteria of discrimination, correlation peak, and optical efficiency.
Journal ArticleDOI
Optical-Image Correlation With A Binary Spatial Light-Modulator
TL;DR: In this paper, the use of a binary, magneto-optic spatial light modulator as an input device and as a spatial filter in a VanderLugt correlator is investigated.
Journal ArticleDOI
Pattern recognition with binary phase-only filters
Joseph L. Horner,James R. Leger +1 more