• Title/Summary/Keyword: Zernike

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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.

Alignment of Schwarzchild-Chang Off-axis Telescope with a Shack-Hartmann Wavefront Sensor and Sensitivity Table Method

  • Lee, Sunwoo;Park, Woojin;Kim, Yunjong;Kim, Sanghyuk;Chang, Seunghyuk;Jeong, Byeongjoon;Kim, Geon Hee;Pak, Soojong
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.2
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    • pp.79.1-79.1
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    • 2019
  • The Schwarzchild-Chang telescope is a confocal off-axis two mirror telescope with D = 50 mm, F = 100 mm and FOV = 8 ° × 8 °. Unlike common off-axis telescopes, the mirrors of the Schwarzchild-Chang telescope share their focal points to remove the linear astigmatism. In this poster, we show the alignment process of the Schwarzchild-Chang telescope with wavefront measurement and the sensitivity table method. Wavefront is measured using the Shack-Hartmann sensor, and Zernike polynomials are obtained from measured wavefront. Sensitivity table method is to calculate alignment errors from the Zernike coefficients. As a result, we evaluate tilt, decenter, and despace of each mirror of linear astigmatism-free con-focal off-axis system.

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Performance Evaluation of Shape Descriptors for Gait Analysis Based on Silhouette Sequence (실루엣 영상기반 보행 분석을 위한 형태 기술자의 성능 평가)

  • Kim, Seon-Jong
    • Journal of Intelligence and Information Systems
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    • v.15 no.4
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    • pp.53-64
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    • 2009
  • This paper presents a performance evaluation of shape descriptors for gait analysis in case of silhouette sequence images. We used moment descriptors(MD), Fourier descriptors(FD) and Zernike descriptors(ZD) as a shape descriptor. To evaluate their performance, we firstly defined the performance index, that is, AI(asymmetry index) and PI(periodic index) based on the periodic property of the gait images. This is why they are represented by periodic parameters due to periodic gait images. This index means that how the shape is represented periodically. According to these indexes, we evaluated the data sets with periodic images, downloaded from internet. The results showed that Zernike descriptors had better performance of AI = 1.09 and PI = 2.21 than others. And in case of FD and ZD, it's efficient to implement the gait analysis with 5~10 parameters.

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Optimal Management of Fabrication and Assembly Tolerance of Optical Systems by Analyzing Its Influence on Zernike Coefficients (쩨르니케 계수의 민감도에 바탕을 둔 광부품 제작 및 조립 공차의 최적 관리)

  • Kim, Hyunsook;Kim, Jin Seung
    • Korean Journal of Optics and Photonics
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    • v.26 no.4
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    • pp.209-216
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    • 2015
  • A new method is proposed for optimal management of the fabrication and assembly tolerance of optical systems. The practical utility of the method is shown by applying it to a wide-angle anamorphic IR optical system. In this method the wavefront error of an optical system is expressed in terms of Zernike polynomials, and the sensitivity of the expansion coefficients to the variation of design parameters is analyzed. Based on this sensitivity analysis, the optimal tolerances of the fabrication parameters are determined and the best compensators for the assembly process are selected. By using this method, one can accurately predict with good confidence the best possible performance of a completed optical system in practice.

Shape similarity measure for M:N areal object pairs using the Zernike moment descriptor (저니키 모멘트 서술자를 이용한 M:N 면 객체 쌍의 형상 유사도 측정)

  • Huh, Yong;Yu, Ki-Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.30 no.2
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    • pp.153-162
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    • 2012
  • In this paper, we propose a new shape similarity measure for M:N polygon pairs regardless of different object cardinalities in the pairs. The proposed method compares the projections of two shape functions onto Zernike polynomial basis functions, where the shape functions were obtained from each overall region of objects, thus not being affected by the cardinalities of object pairs. Moments with low-order basis functions describe global shape properties and those with high-order basis functions describe local shape properties. Therefore several moments up to a certain order where the original shapes were similarly reconstructed can efficiently describe the shape properties thus be used for shape comparison. The proposed method was applied for the building objects in the New address digital map and a car navigation map of Seoul area. Comparing to an overlapping ratio method, the proposed method's similarity is more robust to object cardinality.

Charactor Image Retrieval Using Color and Shape Information (컬러와 모양 정보를 이용한 캐릭터 이미지 검색)

  • 이동호;유광석;김회율
    • Journal of Broadcast Engineering
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    • v.5 no.1
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    • pp.50-60
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    • 2000
  • In this paper, we propose a new composite feature consists of both color and shape information that are suitable for the task of character image retrieval. This approach extracts shape-based information using Zernike moments from Y image in YCbCr color space. Zernike moments can extract shape-based features that are invariant to rotation, translation, and scaling. We also extract color-based information from the DCT coefficients of Cr and Cb image. This approach is good method reflecting human visual property and is suitable for web application such as large image database system and animation because higher retrieval rate has been achieved using only 36 features. In experiment, this method is applied to 3,834 character images. We confirmed that this approach brought about excellent effect by ANMRR(Average of Normalized, Modified Retrieval Rank), which is used in the evaluation measure of MPEG-7 color descriptor and BEP(Bull's Eye Performance), which is used in evaluation measure of shape descriptor in character image retrieval.

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Real-time Sign Object Detection in Subway station using Rotation-invariant Zernike Moment (회전 불변 제르니케 모멘트를 이용한 실시간 지하철 기호 객체 검출)

  • Weon, Sun-Hee;Kim, Gye-Young;Choi, Hyung-Il
    • Journal of Digital Contents Society
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    • v.12 no.3
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    • pp.279-289
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    • 2011
  • The latest hardware and software techniques are combined to give safe walking guidance and convenient service of realtime walking assistance system for visually impaired person. This system consists of obstacle detection and perception, place recognition, and sign recognition for pedestrian can safely walking to arrive at their destination. In this paper, we exploit the sign object detection system in subway station for sign recognition that one of the important factors of walking assistance system. This paper suggest the adaptive feature map that can be robustly extract the sign object region from complexed environment with light and noise. And recognize a sign using fast zernike moment features which is invariant under translation, rotation and scale of object during walking. We considered three types of signs as arrow, restroom, and exit number and perform the training and recognizing steps through adaboost classifier. The experimental results prove that our method can be suitable and stable for real-time system through yields on the average 87.16% stable detection rate and 20 frame/sec of operation time for three types of signs in 5000 images of sign database.

A Shape Based Image Retrieval Method using Phase of ART (ART의 위상 정보를 이용한 형태기반 영상 검색 방법)

  • Lee, Jong-Min;Kim, Whoi-Yul
    • Journal of Broadcast Engineering
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    • v.17 no.1
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    • pp.26-36
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    • 2012
  • Since shape of an object in an image carries important information in contents based image retrieval (CBIR), many shape description methods have been proposed to retrieve images using shape information. Among the existing shape based image retrieval methods, the method which employs invariant Zernike moment desciptor (IZMD) showed better performance compared to other methods which employ traditional Zernike moments descriptor in CBIR. In this paper, we propose a new image retrieval method which applies invariant angular radial transform descriptor (IARTD) to obtain higher performance than the method which employs IZMD in CBIR. IARTD is a rotationally invariant feature which consists of magnitudes and alligned phases of angular radial transform coefficients. To produce rotationally invariant phase coefficients, a phase correction scheme is performed while extracting the IARTD. The distance between two IARTDs is defined by combining the differences of the magnitudes and the aligned phases. Through the experiment using MPEG-7 shape dataset, the average bull's eye performance (BEP) of the proposed method is 0.5806 while the average BEPs of the exsiting methods which employ IZMD and traditional ART are 0.4234 and 0.3574, respectively.

According to the Wavelength, the Analysis of Individual Eye Model's Aberration Change (파장에 따른 개별모형안의 수차변화 분석)

  • Kim, Se-Jin;Lim, Hyeon-Seon;Kim, Bong-Hwan;Kouh, Jeong-Hwi
    • Journal of Korean Ophthalmic Optics Society
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    • v.13 no.3
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    • pp.61-64
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    • 2008
  • Purpose: The analysis of individual eye model designed from clinical demonstration about emmetropia shows that the aberration would be changed by the wave change. Method: The model on the basis of clinical demonstration of eye ball is designed in a form of having 4 refraction surfaces and a constant refractive index. We analyzed designed twelve individual eye model into aberrations changes, as giving changes Fraunhofer lines's six wavelengths. Result: About individual eye model, change in the wavelength of the wavefront aberrations analysis using the Zernike coefficient. This data indicate that the shorter wave is, the more defocus increases and the deviation value of spherical aberration and RMS are widened. Conclusion: As quantity of defocus according to result wavelength change is shorter and shorter, inclination which is similar twelve individual eye model is bigger and bigger and individual eye model majority of cases, little change, and change is shown in part individual eye model is a significant performance degradation can be raised.

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