Computation of arbitrarily constrained synthetic discriminant functions

Abstract

An algorithm for computing correlation filters based on synthetic discriminant functions that can be displayed on current spatial light modulators is presented. The procedure is nondivergent, computationally feasible, and capable of producing multiple solutions, thus overcoming some of the pitfalls of previous methods.

Modified minimum-distance criterion for blended random and nonrandom encoding

“…There are no other free parameters for the singleobject matched filter, and thus the design is optimal. However, more recent studies have reported suboptimal searches over these two parameters for the design of composite pattern recognition filters 25 and spot array generators. 26 These studies predated and stimulated the development of the first algorithms that blend MDE and PRE to various degrees as a function of the free parameter ␥.…”

Three-dimensional polarization marked multiple-QR code encryption by optimizing a single vectorial beam

“…Other than the traditional GS phase retrieval algorithm and the previous calculation of phase structure to achieve desired diffraction pattern [32,33], which imposes amplitude only constrains on the pre-defined signal windows within several target planes, our modified one takes phase difference between orthogonal polarization components as another parameter to be restricted on a series of target (Fresnel) planes in order to obtain the desired spatial polarization distribution. In this sense, the modified one can be regarded as an extension to polarization equivalent to the scalar version of the previous proposal [32] which introduces ROI in the output plane.…”

Generalization of the Jared and Ennis method of complex transmittance objects for the generation of synthetic discriminant function filters

“…These include Kallman's method, 8 which is computationally intensive, or the Jared and Ennis method, 9 which is an iterative procedure and which comprises the starting point from the method presented in the present paper. Montes-Usategui et al 10 have presented an algorithm that achieves the generation of the SDF, taking into account an arbitrary modulation for the filter. Nevertheless, none of these authors mentions the inclusion of scene modulation due to the displaying device.…”