• Title/Summary/Keyword: Zernike

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Design and Analysis of Ku Band VSAT Reflector Antennas (Ku 밴드 VSAT 반사경 안테나의 설계 및 복사특성 해석)

  • 최학근;이돈신;최학윤
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.1
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    • pp.39-46
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    • 1993
  • In this paper, an offset paraboloidal reflector antenna satisfied efficiency of over 60% and sidelobe envelope line of 29-25$log\theta$ was designed and manufactured for Ku-band VSAT(Very Small Aperture Terminal) antenna. The radiation patterns of experimental antenna were computed by applying the series expansion method using the Zernike polynomials. The measured patterns are in good agreement with the computed results. The Gain, efficiency, and sidelobe envelop line fairly well satisfy the design specifications except first sidelobe level.

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A Compact Top-View Conformal Optical System Based on a Single Rotating Cylindrical Lens with Wide Field of Regard

  • Yu, Linyao;Wei, Qun;Zheng, Jinggao;Ge, Mingda;Zhang, Tianyi
    • Journal of the Optical Society of Korea
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    • v.20 no.1
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    • pp.64-69
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    • 2016
  • A new compact conformal dome optical system was established, and the aberration characteristics of the dome were investigated using Zernike aberration theory. The aberrations induced by the dome at different fields of regard (FORs) from 30° to 100° were effectively balanced by a rotating cylindrical lens. This kind of optical system can be widely used in top-view optical searching devices. A design method was introduced and the optimization results analyzed in detail. The results showed that the Zernike aberrations produced by the conformal dome were decreased dramatically. Also, a complete conformal optical system was designed, to further illustrate the aberration correction effect of the rotating cylindrical lens. Using a cylindrical lens not only provided a large FOR, but also simplified enormously the structure of the conformal optical system.

A Study on Determination of Quantitative Aberration Using Lateral-Shearing Interferometer (층밀리기 간섭계에 의한 정량적 수차산출에 관한 연구)

  • 김승우;김병창;조우종
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.459-463
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    • 1996
  • The lateral-shearing interferometer specially devised for production line inspection lenses is presented. The interferometer is composed with immersion oil and four prisms whose relative sliding motion provide lateral-shearing and phase-shifting. A special phase-measuring algorithm of a-bucket is adopted to compensate the phase-shifting error caused by the thickness reduction in the immersion oil Three different algorithm for determinating quantitative aberration of aspherical lenses are presented and compared with one another.

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Reverse-optimization Alignment Algorithm using Zernike Sensitivity

  • Kim Eugene D.;Choi Young-Wan;Kang Myung-Seok;Choi Se Chol
    • Journal of the Optical Society of Korea
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    • v.9 no.2
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    • pp.68-73
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    • 2005
  • When aligning catoptric or catadioptric telescopes for space cameras, it is difficult to align precisely if the field of view is large or there are several reflective surfaces. The quantitative knowledge of mirror misalignments greatly helps align a misaligned telescope precisely, and also reduce the alignment time. This paper describes a generalized reverse-optimization alignment solution algorithm using Zernike sensitivity, and proposes the minimum number of fields to take interferograms. This method was successfully applied on a Cassegrain telescope design for Earth observation from space with arbitrary misalignments and a model including some primary mirror deformation.

Variation of Global Coherence on Propagation in Coherent Mode Representation

  • Kim, Ki-Sik;Park, Dae-Yoon
    • Journal of the Optical Society of Korea
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    • v.10 no.4
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    • pp.162-168
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    • 2006
  • The variation of global coherence on propagation plane by plane is examined in the framework of coherent mode representation. It is explained through concrete examples that the global coherence may in general be enhanced, may be reduced, or may not change. When the mode functions form a complete set and the corresponding eigenvalues are in nitely degenerate, there necessarily develops a certain amount of global coherence on propagation, which is the essence of van Cittert-Zernike theorem. The propagation generates a certain pattern of the eigenvalue spectrum from the initial flat one and this is shown to be related to the non-unitarity of the propagation kernel.

An Analytical and Experimental Study of Binary Image Normalization for Scale Invariance with Zernike Moments

  • Kim, Whoi-Yul
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.146-155
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    • 1997
  • In order to achieve scale- and rotation-invariance in recognizing unoccluded objects in binary images using Zernike moment features, an image of an object has often been normalized first by its zeroth-order moment (ZOM) or area. With elongated objects such as characters, a stroke width varies with the threshold value used, it becomes one or two pixels wider or thinner. The variations of the total area of the character becomes significant when the character is relatively thin with respect to its overall size, and the resulting normalized moment features are no longer reliable. This dilation/erosion effect is more severe when the object is not focused precisely. In this paper, we analyze the ZOM method and propose as a normalization method, the maximum enclosing circle (MEC) centered at the centroid of the character. We compare both the ZOM and MEC methods in their performance through various experiments.

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Fast Computation of Zernike Moments Using Three Look-up Tables

  • Kim, Sun-Gi;Kim, Whoi-Yul;Kim, Young-Sum;Park, Chee-Hang
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.156-161
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    • 1997
  • Zernike moments have been one of the most commonly used feature vectors for recognizing rotated patterns due to its rotation invariant characteristics. In order to reduce its expensive computational cost, several methods have been proposed to lower the complexity. One of the methods proposed by mukundan and K. R. Ramakrishnan[1], however, is not rotation invariant. In this paper, we propose another method that not only reduces the computational cost but preserves the rotation invariant characteristics. In the experiment, we compare our method with others, in terms of computing time and the accuracy of moment feature at different rotational angle of an object in image.

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Qualitative Analysis of Film Thickness in Elastohydrodynamic Lubrication (탄성 유체 윤활에서의 유막 두께 측정에 관한 정성적 분석)

  • 최언진;박경근;장시열
    • Tribology and Lubricants
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    • v.16 no.5
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    • pp.317-323
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    • 2000
  • The film thickness and shape of elastohydrodynamic lubrication is measured by optical interferometer, which is the most precise method for EHL film measurement. However, the interpretation of the image pattern from optical viscometer is not simple for two-dimensional shape. A newly developed method of image processing makes it possible to evaluate the film thickness and shape in every point of contact region with two dimensional aspects. In this study, we captured the film shape of EHL film by the monochromatic incident light and analyzed the film thickness with the image processing method, which uses phase shift method. From the values of intensity in fringes, the qualitative feature of film thickness in the contact area are obtained by using Zernike polynomial

A Reliable SVD Based Watermarking Scheme Resistant to Geometric Attacks (기하학적 공격에 강한 고신뢰성 SVD 기반 워터마킹방안)

  • Dung, Luong Ngoc Thuy;Sohn, Won
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2018.11a
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    • pp.87-89
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    • 2018
  • We proposed an improved reliable SVD-based watermarking scheme resistant to geometric attacks while having high fidelity with no false-positive problem. Principal components of a watermark image are embedded into singular values of LL, LH, HL, and HH sub-bands of a transformed cover image by RDWT(redundant discrete wavelet transform) with optimal scale factors. Each scale factor is generated by trading-off fidelity and robustness using Differential Evolution (DE) algorithm. Zernike Moment (ZM) is used to estimate the geometric distortion and to correct the watermarked image before extracting watermark. The proposed scheme improves fidelity and robustness of existing reliable SVD based watermarking schemes while resisting to geometric attacks.

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Experimental Study of Large-amplitude Wavefront Correction in Free-space Coherent Optical Communication

  • Guo, Qian;Cheng, Shuang;Ke, Xizheng
    • Current Optics and Photonics
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    • v.5 no.6
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    • pp.627-640
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    • 2021
  • In a free-space coherent optical communication system, wavefront distortion is frequently beyond the correction range of the adaptive-optics system after the laser has propagated through the atmospheric turbulence. A method of residual wavefront correction is proposed, to improve the quality of coherent optical communication in free space. The relationship between the wavefront phase expanded by Zernike polynomials and the mixing efficiency is derived analytically. The influence of Zernike-polynomial distortion on the bit-error rate (BER) of a phase-modulation system is analyzed. From the theoretical analysis, the BER of the system changes periodically, due to the periodic extension of wavefront distortion. Experimental results show that the BER after correction is reduced from 10-1 to 10-4; however, when the closed-loop control algorithm with residual correction is used, the experimental results show that the BER is reduced from 10-1 to 10-7.