Method for synthesizing and optimizing kinoform

An optimization method and kinograph technology, applied in the field of kinograph synthesis, can solve problems such as slow initial convergence, kinoform constraints, and long calculation time, to reduce errors, overcome initial slow convergence, and optimize kinographs Effect

Active Publication Date: 2011-05-25
PEKING UNIV
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Problems solved by technology

However, in the existing methods of optimizing the kinoform by using the traditional genetic algorithm, the initial convergence is sl

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  • Method for synthesizing and optimizing kinoform
  • Method for synthesizing and optimizing kinoform
  • Method for synthesizing and optimizing kinoform

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Embodiment Construction

[0051] The present invention will be further described with a specific embodiment below:

[0052] use Figure 5 As an original picture, the size of the binary image is 64×64.

[0053] 1) In the initialization process, generate 100 64×64 random matrices to represent the random phase mask, any point in which is evenly distributed in [0, 2π);

[0054] 2) The 100 phase masks are attached to the original image respectively, and 100 kinoforms are obtained through two-dimensional discrete Fourier transform, amplitude normalization, and 16-order phase quantization. Then calculate 100 reproduced images according to formula (1), and then calculate their corresponding cost functions according to formula (2) and (3);

[0055] 3) In the selection process of the genetic algorithm, sort the 100 phase masks according to the size of the cost function. Directly discard the 40 chromosomes with the largest cost function, and copy the 40 chromosomes with the smallest cost function;

[0056] 4)...

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Abstract

The invention provides a method for synthesizing and optimizing a kinoform, wherein the method is based on a genetic algorithm. The technical scheme provided by the invention comprises the following steps: adding a group of random phase masks to original images; optimizing the masks; and when reaching optimizing conditions,taking the phase mask with minimum cost function as the best mask, and the corresponding kinoform of the best mask as the obtained kinoform. The Kinoforms are indirectly optimized by optimizing the masks. Ihe method, the error of reproduced images is reduced by directly optimizing the random phase masks so as to optimize the Kinoform. In the selection link of the genetic algorithm, an elite retaining method is used to retain excellent solutions of groups and to accelerate the convergence rate, and is easy for realizing. Compared with the traditional optimization method, the method provided by the invention has the advantages of small initial cost function, fast optimizing speed, good optimizing effect and the like.

Description

technical field [0001] The invention relates to a method for synthesizing a kinoform, in particular to an optimization method for synthesizing a kinoform based on an elite retention genetic algorithm. Background technique [0002] Kinoform: A type of wavefront reproduction element that can only be generated by a computer. Different from other types of computer-made holograms, kinoforms are components that only record wavefront phase information under the assumption that the amplitude of light in the entire recording plane is constant. The biggest advantage of the kinoform is that its diffraction efficiency is particularly high. Under ideal conditions, the kinoform can use all the incident light to reconstruct the object light wave, so the diffraction efficiency can reach 100%. Second, the illumination kinoform obtains only a single diffraction order, reproducing a single image, with no conjugate or stray images superimposed on it. Finally, because the kinoform does not int...

Claims

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Application Information

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IPC IPC(8): G06T5/50G06N3/12
Inventor 杨光临郑瑞峰
Owner PEKING UNIV
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