• Title/Summary/Keyword: Sum of squared difference

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Polynomially Adjusted Normal Approximation to the Null Distribution of Ansari-Bradley Statistic

  • Ha, Hyung-Tae;Yang, Wan-Youn
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.1161-1168
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    • 2011
  • The approximation for the distribution functions of nonparametric test statistics is a significant step in statistical inference. A rank sum test for dispersions proposed by Ansari and Bradley (1960), which is widely used to distinguish the variation between two populations, has been considered as one of the most popular nonparametric statistics. In this paper, the statistical tables for the distribution of the nonparametric Ansari-Bradley statistic is produced by use of polynomially adjusted normal approximation as a semi parametric density approximation technique. Polynomial adjustment can significantly improve approximation precision from normal approximation. The normal-polynomial density approximation for Ansari-Bradley statistic under finite sample sizes is utilized to provide the statistical table for various combination of its sample sizes. In order to find the optimal degree of polynomial adjustment of the proposed technique, the sum of squared probability mass function(PMF) difference between the exact distribution and its approximant is measured. It was observed that the approximation utilizing only two more moments of Ansari-Bradley statistic (in addition to the first two moments for normal approximation provide) more accurate approximations for various combinations of parameters. For instance, four degree polynomially adjusted normal approximant is about 117 times more accurate than normal approximation with respect to the sum of the squared PMF difference.

Optimization of H.264 Encoder using SIMD Instructions (SIMD 명령어를 이용한 H.264 인코더 최적화)

  • 김용환;김제우;김태완;최병호
    • Proceedings of the Korea Multimedia Society Conference
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    • 2003.11a
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    • pp.175-178
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    • 2003
  • 최근에 표준화가 완료된 차세대 비디오 코딩 표준인 H.264 는 적은 비트율에서 높은 품질의 비디오 압축을 목표로 하기 때문에, H.263+ 및 MPEG-2/4 와 같은 이전의 표준들보다 훨씬 더 많은 연산을 필요로 한다. 본 논문은 SIMD (Single Instruction Multiple Data) 명령어를 가지는 범용 프로세서(예를 들면, 펜티엄 4)에서 H.264 S/W 인코더의 속도 최적화를 위한 알고리듬 및 구현 기술을 제안한다. 화질 저하 없이 RDO (Rate Distortion Optimization) 의 속도를 높일 수 있는 효율적인 모드 검색 건너뛰기 알고리듬을 제안하고, SIMD 명령어를 이용하여 1/4 화소 보간, SAD(Sum of Absolute Difference), SATD(Sum of Absolute Transformed Difference), SSD (Sum of Squared Difference) 등의 개별 루틴의 속도를 최적화한다. 일련의 최적화 후에 인코더는 화질 저하 없이 H.264 레퍼런스 인코더보다 평균 3배 정도의 속도 향상이 이루어진다.

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Object Tracking using Adaptive Template Matching

  • Chantara, Wisarut;Mun, Ji-Hun;Shin, Dong-Won;Ho, Yo-Sung
    • IEIE Transactions on Smart Processing and Computing
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    • v.4 no.1
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    • pp.1-9
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    • 2015
  • Template matching is used for many applications in image processing. One of the most researched topics is object tracking. Normalized Cross Correlation (NCC) is the basic statistical approach to match images. NCC is used for template matching or pattern recognition. A template can be considered from a reference image, and an image from a scene can be considered as a source image. The objective is to establish the correspondence between the reference and source images. The matching gives a measure of the degree of similarity between the image and the template. A problem with NCC is its high computational cost and occasional mismatching. To deal with this problem, this paper presents an algorithm based on the Sum of Squared Difference (SSD) and an adaptive template matching to enhance the quality of the template matching in object tracking. The SSD provides low computational cost, while the adaptive template matching increases the accuracy matching. The experimental results showed that the proposed algorithm is quite efficient for image matching. The effectiveness of this method is demonstrated by several situations in the results section.

Comparative Analysis of Cost Aggregation Algorithms in Stereo Vision (스테레오 비전에서 비용 축적 알고리즘의 비교 분석)

  • Lee, Yong-Hwan;Kim, Youngseop
    • Journal of the Semiconductor & Display Technology
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    • v.15 no.1
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    • pp.47-51
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    • 2016
  • Human visual system infers 3D vision through stereo disparity in the stereoscopic images, and stereo visioning are recently being used in consumer electronics which has resulted in much research in the application field. Basically, stereo vision system consists of four processes, which are cost computation, cost aggregation, disparity calculation, and disparity refinement. In this paper, we present and evaluate the existing various methods, focusing on cost aggregation for stereo vision system to comparatively analyze the performance of their algorithms for a given set of resources. Experiments show that Normalized Cross Correlation and Zero-Mean Normalized Cross Correlation provide higher accuracy, however they are computationally heavy for embedded system in the real time systems. Sum of Absolute Difference and Sum of Squared Difference are more suitable selection for embedded system, but they should be required on improvement to apply to the real world system.

A Hierarchical Image Mosaicing using Camera and Object Parameters for Efficient Video Database Construction (효율적인 비디오 데이터베이스 구축을 위해 카메라와 객체 파라미터를 이용한 계층형 영상 모자이크)

  • 신성윤;이양원
    • Journal of Korea Multimedia Society
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    • v.5 no.2
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    • pp.167-175
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    • 2002
  • Image Mosaicing creates a new image by composing video frames or still images that are related, and performed by arrangement, composition and redundancy analysis of images. This paper proposes a hierarchical image mosaicing system using camera and object parameters far efficient video database construction. A tree-based image mosiacing has implemented for high-speed computation time and for construction of static and dynamic image mosaic. Camera parameters are measured by using least sum of squared difference and affine model. Dynamic object detection algorithm has proposed for extracting dynamic objects. For object extraction, difference image, macro block, region splitting and 4-split detection methods are proposed and used. Also, a dynamic positioning method is used for presenting dynamic objects and a blurring method is used for creating flexible mosaic image.

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Tree-Based Static/Dynamic Image Mosaicing (트리 기반 정적/동적 영상 모자이크)

  • Kang, Oh-hyung;Rhee, Yang-won
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.4
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    • pp.758-766
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    • 2003
  • This paper proposes a tree-based hierarchical image mosaicing system using camera and object parameters for efficient video database construction. Gray level histogram difference and average intensity difference are proposed for scene change detection of input video. Camera parameter measured by utilizing least sum of square difference and affine model, and difference image is used for similarity measure of two input images. Also, dynamic objects are searched by through macro block setting and extracted by using region splitting and 4-split detection methods. Dynamic trajectory evaluation function is used for expression of dynamic objects, and blurring is performed for construction of soft and slow mosaic image.

Comparison of Algorithms for Sea Surface Current Retrieval using Himawari-8/AHI Data (Himawari-8/AHI 자료를 활용한 표층 해류 산출 알고리즘 비교)

  • Kim, Hee-Ae;Park, Kyung-Ae;Park, Ji-Eun
    • Korean Journal of Remote Sensing
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    • v.32 no.6
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    • pp.589-601
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    • 2016
  • Sea surface currents were estimated by applying the Maximum Cross Correlation (MCC), Zero-mean Sum of Absolute Distances (ZSAD), and Zero-mean Sum of Squared Distances (ZSSD) algorithms to Himawari-8/Advanced Himawari Imager (AHI) thermal infrared channel data, and the comparative analysis was performed between the results of these algorithms. The sea surface currents of the Kuroshio Current region that were retrieved using each algorithm showed similar results. The ratio of errors to the total number of estimated surface current vectors had little difference according to the algorithms, and the time required for sea surface current calculation was reduced by 24% and 18%, relative to the MCC algorithm, for the ZSAD and ZSSD algorithms, respectively. The estimated surface currents were validated against those from satellite-tracked surface drifter and altimeter data, and the accuracy evaluation of these algorithms showed results within similar ranges. In addition, the accuracy was affected by the magnitude of brightness temperature gradients and the time interval between satellite image data.

Estimation of Drone Velocity with Sum of Absolute Difference between Multiple Frames (다중 프레임의 SAD를 이용한 드론 속도 측정)

  • Nam, Donho;Yeom, Seokwon
    • Journal of the Institute of Convergence Signal Processing
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    • v.20 no.3
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    • pp.171-176
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    • 2019
  • Drones are highly utilized because they can efficiently acquire long-distance videos. In drone operation, the speed, which is the magnitude of the velocity, can be set, but the moving direction cannot be set, so accurate information about the drone's movement should be estimated. In this paper, we estimate the velocity of the drone moving at a constant speed and direction. In order to estimate the drone's velocity, the displacement of the target frame to minimize the sum of absolute difference (SAD) of the reference frame and the target frame is obtained. The ground truth of the drone's velocity is calculated using the position of a certain matching point over all frames. In the experiments, a video was obtained from the drone moving at a constant speed at a height of 150 meters. The root mean squared error (RMSE) of the estimated velocities in x and y directions and the RMSE of the speed were obtained showing the reliability of the proposed method.

Item sum techniques for quantitative sensitive estimation on successive occasions

  • Priyanka, Kumari;Trisandhya, Pidugu
    • Communications for Statistical Applications and Methods
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    • v.26 no.2
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    • pp.175-189
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    • 2019
  • The problem of the estimation of quantitative sensitive variable using the item sum technique (IST) on successive occasions has been discussed. IST difference, IST regression, and IST general class of estimators have been proposed to estimate quantitative sensitive variable at the current occasion in two occasion successive sampling. The proposed new estimators have been elaborated under Trappmann et al. (Journal of Survey Statistics and Methodology, 2, 58-77, 2014) as well as Perri et al. (Biometrical Journal, 60, 155-173, 2018) allocation designs to allocate long list and short list samples of IST. The properties of all proposed estimators have been derived including optimum replacement policy. The proposed estimators have been mutually compared under the above mentioned allocation designs. The comparison has also been conducted with a direct method. Numerical applications through empirical as well as simplistic simulation has been used to show how the illustrated IST on successive occasions may venture in practical situations.

Derivation of error sum of squares of two stage nested designs and its application (이단계 지분계획법의 오차제곱합 유도와 그 활용)

  • Kim, Daehak
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.6
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    • pp.1439-1448
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    • 2013
  • The analysis of variance for randomized block design or two way classification data is well known. In this paper, particularly, we considered two stage nested design in which the levels of one factor is not identical for different levels of another factor. We investigate the structural properties of two stage nested design and the properties of error sum of squares for random effect model. For the application of two way nested design, we consider two-period crossover design which is used commonly for the equivalence test to bio-similar product. The confidence interval estimation of the difference of two population means in the crossover design is discussed based on statistical package SPSS.