• Title/Summary/Keyword: Surface fitting

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An Algorithm for Discontinuous Surface Profile Measurement using Wavelength Scanning Interferometer (파장 주사 간섭계를 이용한 불연속면의 표면 형상 측정 알고리즘)

  • 우현구;강철무;조형석
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.7
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    • pp.507-514
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    • 2003
  • Inspection and shape measurement of three-dimensional objects are widely needed in industries for quality monitoring and control. Recently the shape measurement using interferometric principle is found to be a successful methodology among other visual or optical technologies. Especially, the measuring method using wavelength scanning interferometer(WSI) has a great advantage in comparison with other conventional jnterferometric methods in that the absolute distance from the reference surface can be directly obtained from the amount of jnterferometric phase change. However, the measurement methods using WSI proposed by other researchers have low measurement resolution so far because they can't measure fractional phase change. To avoid this shortcoming we propose a new algorithm in this paper, which can obtain a small amount of even fractional phase change by sinusoidal function fitting. To evaluate the effectiveness of the proposed sinusoidal function fitting algorithm, a series of measuring experiments are conducted for discontinuously shaped specimens which have various height. The proposed algorithm shows much more enhanced measurement resolution than other existing conventional algorithms such as zero crossing algorithm and Fourier transform algorithm.

Visual Object Tracking using Surface Fitting for Scale and Rotation Estimation

  • Wang, Yuhao;Ma, Jun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.15 no.5
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    • pp.1744-1760
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    • 2021
  • Since correlation filter appeared in the field of object tracking, it plays an increasingly vital role due to its excellent performance. Although many sophisticated trackers have been successfully applied to track the object accurately, very few of them attaches importance to the scale and rotation estimation. In order to address the above limitation, we propose a novel method combined with Fourier-Mellin transform and confidence evaluation strategy for robust object tracking. In the first place, we construct a correlation filter to locate the target object precisely. Then, a log-polar technique is used in the Fourier-Mellin transform to cope with the rotation and scale changes. In order to achieve subpixel accuracy, we come up with an efficient surface fitting mechanism to obtain the optimal calculation result. In addition, we introduce a confidence evaluation strategy modeled on the output response, which can decrease the impact of image noise and perform as a criterion to evaluate the target model stability. Experimental experiments on OTB100 demonstrate that the proposed algorithm achieves superior capability in success plots and precision plots of OPE, which is 10.8% points and 8.6% points than those of KCF. Besides, our method performs favorably against the others in terms of SRE and TRE validation schemes, which shows the superiority of our proposed algorithm in scale and rotation evaluation.

Surface Error Generation of Freeform Mirror Based on Zernike Polynomial for Optical Performance Prediction

  • Lee, Sunwoo;Park, Woojin;Han, Jimin;Ahn, Hojae;Kim, Yunjong;Lee, Dae-Hee;Kim, Geon Hee;Pak, Soojong
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.67.2-67.2
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    • 2020
  • Not only the magnitude of the mirror surface error, the pattern matters as it produces certain aberrations. In particular, the surface error of the freeform mirrors, which are optimized to eliminate specific aberrations, might show much higher sensitivity in optical performance. Therefore, we analyze the mirror surface error with Zernike polynomials with the goal of generating a realistic error surface. We investigate the surface error of the freeform mirror fabricated by diamond turning machine to analyze the realistic tendency of the error. The surface error with 0.22 ㎛ root-mean-square value is fitted to the Zernike terms using the incremental fitting method, which increases the number of the fitting coefficients through steps. Furthermore, optical performance via surface error pattern based on Zernike terms is studied to see the influences of each term. With this study, realistic error surface generation may allow higher accuracy not only for the feasibility test but also for all tests and predictions using optical simulations.

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Least Square B-Spline Fitting For Surface Measurement (곡면 측정을 위한 최소 자승 비-스플라인 Fitting)

  • Jung, Jong-Yun;Lisheng Li;Lee, Choon-Man;Chung, Won-Jee
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.12 no.2
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    • pp.79-85
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    • 2003
  • An algorithm for fitting with Least Square is a traditional and an effective method in processing with experimental data. Due to the lack of definite representation, it is difficult to fit measured data with free curves or surfaces. B-Spline is usefully utilized to express free curves and surfaces with a few parameters. This paper presents the combination of these two techniques to process the point data measured from CMM and other similar instruments. This research shows tests and comparison of the simulation results from two techniques.

Precise Edge Detection Method Using Sigmoid Function in Blurry and Noisy Image for TFT-LCD 2D Critical Dimension Measurement

  • Lee, Seung Woo;Lee, Sin Yong;Pahk, Heui Jae
    • Current Optics and Photonics
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    • v.2 no.1
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    • pp.69-78
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    • 2018
  • This paper presents a precise edge detection algorithm for the critical dimension (CD) measurement of a Thin-Film Transistor Liquid-Crystal Display (TFT-LCD) pattern. The sigmoid surface function is proposed to model the blurred step edge. This model can simultaneously find the position and geometry of the edge precisely. The nonlinear least squares fitting method (Levenberg-Marquardt method) is used to model the image intensity distribution into the proposed sigmoid blurred edge model. The suggested algorithm is verified by comparing the CD measurement repeatability from high-magnified blurry and noisy TFT-LCD images with those from the previous Laplacian of Gaussian (LoG) based sub-pixel edge detection algorithm and error function fitting method. The proposed fitting-based edge detection algorithm produces more precise results than the previous method. The suggested algorithm can be applied to in-line precision CD measurement for high-resolution display devices.

Analysis of Corneal Topography in Keratoconus (원추각막의 각막지형도 분석)

  • Kim, Douk-Hoon
    • Journal of Korean Clinical Health Science
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    • v.4 no.3
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    • pp.652-661
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    • 2016
  • The analysis of cornea morphology using corneal topographers is a clinical practice for the diagnosis of keratoconus in contact lens fitting. The recently technique has developed with the possibility of achieving a great number of measuring points of both anterior and posterior corneal surfaces in cornea. Also these data are used to extract a series of topographic valuation indices that permit to offer the most exact clinical diagnosis of keratoconus in contact lens fitting. This study describes the technologies in which current corneal topographers are based on the morphological characteristics that the keratoconus status observe on corneal surface. Therefore, this paper can provide that the analysis of corneal topographers applied for the diagnosis of keratoconus in contact lens fitting.

XPD Analysis on the Cleaved GaAs(110) Surface (절개된 GaAs(110) 면의 XPD 분석)

  • Lee, Deok-Hyeong;Jeong, Jae-Gwan;O, Se-Jeong
    • Journal of the Korean Vacuum Society
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    • v.2 no.2
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    • pp.171-180
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    • 1993
  • X-ray photoelectron diffraction (XPD) is used to characterize the crystallographically cleaved GaAs(110) surface. By using polar and azimuthal scans of the usual angle-resolved x-ray photoelectron spectroscopy, we get the reconstruction geometry of the clean GaAs(110) surface from the intensity ratio of Ga 3d core-level peaks. The reconstruction parameters are determined by fitting the diffraction pattern with the single scattering cluster (SSC) model, and the results show similar tendencies to those obtained by other techniques.

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B-spline Surface Reconstruction in Reverse Engineering by Segmentation of Measured Point Data (역공학에서의 측정점의 분할에 의한 B-spline 곡면의 재생성)

  • Hur, Sung-Min;Kim, Ho-Chan;Lee, Seok-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.10
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    • pp.1961-1970
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    • 2002
  • A laser scanner is widely used fur a device fur acquiring point data in reverse engineering. It is more efficient to generate a surface automatically from the line-typed data than scattered data of points clouds. In the case of a compound model, it is hard to represent all the scanned data into one surface maintaining its original line characteristics. In this paper, a method is presented to generate a surface by the segmentation of measured point data. After forming triangular net, the segmentation is done by the user input such as the angle between triangles, the number of facets to be considered as small segment, and the angle for combining small segment. B-spline fitting is implemented to the point data in each segment. The surface generation through segmentation shows a reliable result when it is applied to the models with curvature deviation regions. An useful algorithm for surface reconstruction is developed and verified by applying an practical model and shows a good tools fur reverse engineering in design modification.

CAE Solid Element Mesh Generation from 3D Laser Scanned Surface Point Coordinates

  • Jarng S.S.;Yang H.J.;Lee J.H.
    • Korean Journal of Computational Design and Engineering
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    • v.10 no.3
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    • pp.162-167
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    • 2005
  • A 3D solid element mesh generation algorithm was newly developed. 3D surface points of global rectangular coordinates were supplied by a 3D laser scanner. The algorithm is strait forward and simple but it generates hexahedral solid elements. Then, the surface rectangular elements were generated from the solid elements. The key of the algorithm is elimination of unnecessary elements and 3D boundary surface fitting using given 3D surface point data.

Exploring Variables Affecting the Clothing Pressure of Compression Garment -A Comparison of Actual Garments and Virtual Garments- (밀착의복 의복압에 영향을 미치는 변인 탐색 -실제착의와 가상착의 비교-)

  • Nam Yim Kim;Hyojeong Lee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.47 no.6
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    • pp.1080-1095
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    • 2023
  • Three-dimensional virtual fitting has become a trending practice in the fashion industry because of its productivity benefits, allowing garments to be virtually worn by avatar models without physical production. This study analyzed the variables influencing clothing pressure in both real and virtual fittings to expand the potential utility of pressure data derived from the latter. For this purpose, six sets of compression garments were created by combining two types of tricot fabrics and three types of reduced-pattern tops, with the clothing for real and virtual fittings having identical dimensions. Focus was directed to analyzing the correlation among clothing pressure, surface area deformation, and the mechanical properties of the fabrics. In real fittings, clothing pressure was influenced by multiple factors, including garment design, pattern reduction ratio, body shape, and fabric properties, consistent with existing knowledge. In virtual fittings, however, only the digital mechanical characteristics of the fabrics significantly influenced clothing pressure. The findings suggest that a more reliable implementation of clothing pressure in virtual fitting programs necessitates an approach that considers the complex structural information of garments.