• Title/Summary/Keyword: B-spline

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A Study on the Psuedocolor Image Enhancement of Infrared Image using B-Spline Wavelet Transform. (B-스플라인 웨이블릿 변환을 적용한 적외선 이미지의 의사컬러)

  • 유병근;김정태;류광렬
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.05a
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    • pp.192-195
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    • 2003
  • This paper is a study on the psuedocolor image enhancement of infrared image using B-spline wavelet transform. The psuedocolor enhancement is that the frequency lose on the minimum, the decomposition enhancement is realized by B-spline and RGB image is extracted by wavelet transform. The result of experiment increases enhanced infrared image as 3dB by processing of B-spline and wavelet transform.

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APPROXIMATION BY FUZZY B-SPLINE SERIES

  • BLAGA PETRU;BEDE BARNABAS
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.157-169
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    • 2006
  • We study properties concerning approximation of fuzzy-number-valued functions by fuzzy B-spline series. Error bounds in approximation by fuzzy B-spine series are obtained in terms of the modulus of continuity. Particularly simple error bounds are obtained for fuzzy splines of Schoenberg type. We compare fuzzy B-spline series with existing fuzzy concepts of splines.

Genetic Algorithm based B-spline Fitting for Contour Extraction from a Sequence of Images (연속 영상에서의 경계추출을 위한 유전자 알고리즘 기반의 B-spline 적합)

  • Heo Hoon;Lee JeongHeon;Chae OkSam
    • Journal of KIISE:Software and Applications
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    • v.32 no.5
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    • pp.357-365
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    • 2005
  • We present a B-spline fitting method based on genetic algorithm for the extraction of object contours from the complex image sequence, where objects with similar shape and intensity are adjacent each other. The proposed algorithm solves common malfitting problem of the existing B-spline fitting methods including snakes. Classical snake algorithms have not been successful in such an image sequence due to the difficulty in initialization and existence of multiple extrema. We propose a B-spline fitting method using a genetic algorithm with a new initial population generation and fitting function, that are designed to take advantage of the contour of the previous slice. The test results show that the proposed method extracts contour of individual object successfully from the complex image sequence. We validate the algorithm by false-positive/negative errors and relative amounts of agreements.

A UGV Hybrid Path Generation Method by using B-spline Curve's Control Point Selection Algorithm (무인 주행 차량의 하이브리드 경로 생성을 위한 B-spline 곡선의 조정점 선정 알고리즘)

  • Lee, Hee-Mu;Kim, Min-Ho;Lee, Min-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.2
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    • pp.138-142
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    • 2014
  • This research presents an A* based algorithm which can be applied to Unmanned Ground Vehicle self-navigation in order to make the driving path smoother. Based on the grid map, A* algorithm generated the path by using straight lines. However, in this situation, the knee points, which are the connection points when vehicle changed orientation, are created. These points make Unmanned Ground Vehicle continuous navigation unsuitable. Therefore, in this paper, B-spline curve function is applied to transform the path transfer into curve type. And because the location of the control point has influenced the B-spline curve, the optimal control selection algorithm is proposed. Also, the optimal path tracking speed can be calculated through the curvature radius of the B-spline curve. Finally, based on this algorithm, a path created program is applied to the path results of the A* algorithm and this B-spline curve algorithm. After that, the final path results are compared through the simulation.

A Study on the Pit Excavation Volume Using Cubic B-Spline

  • Mun, Du-Yeoul
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • v.5 no.1
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    • pp.40-45
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    • 2002
  • The calculation of earthwork plays a major role in the planning and design phases of many civil engineering projects, such as seashore reclamation; thus, improving the accuracy of earthwork calculation has become very important. In this paper, we propose an algorithm for finding a cubic spline surface with the free boundary conditions, which interpolates the given three-dimensional data, by using B-spline and an accurate method to estimate pit-excavation volume. The proposed method should be of interest to surveyors, especially those concerned with accuracy of volume computations. The mathematical models of the conventional methods have a common drawback: the modeling curves form peak points at the joints. To avoid this drawback, the cubic spline polynomial is chosen as the mathematical model of the new method. In this paper, we propose an algorithm of finding a spline surface, which interpolates the given data, and an appropriate method to calculate the earthwork. We present some computational results that show the proposed method, of the Maple program, provides better accuracy than the method presented by Chen and Lin.

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A Sweep Surface Based on Bivariate B-spline Motion

  • Yoon, Seung-Hyun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.3
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    • pp.1026-1039
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    • 2014
  • We present a new method for generating sweep surfaces using bivariate B-spline motion. The sweep surface is defined as the trace of a single point under bivariate B-spline motion. Direct manipulation of the sweep surface is achieved by controlling its motion components while producing various editing effects. We demonstrate the effectiveness of our technique by modeling and deforming various three-dimensional shapes.

EIGENVALUE ANALYSIS USING PIECEWISE CUBIC B-SPLINE (CUBIC B-SPLINE을 이용한 고유치 해석)

  • Kim Young-Moon
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.355-360
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    • 2000
  • This paper presents properties of piecewise cubic B-spline function and Rayleigh-Ritz method to compute the smallest eigenvales. In order to compute the smallest eigenvalues, Rayleigh quotient approach is used and four different types of finite element approximating functions corresponding to the statical deflection curve, spanned by the linearly independent set of piecewise cubic B-spline functions with equally spaced 5 knots from a partion of [0, 1], each satisfying homogeneous boundary conditions with constraining effects are used to compute the smallest eigenvalues for a Sturm-Lionville boundary equations of u"+ λ²u=0, u(0.0)=u(0.0)=0, 0≤x≤1.0.

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An Error-Bounded B-spline Fitting Technique to Approximate Unorganized Data (무작위 데이터 근사화를 위한 유계오차 B-스플라인 근사법)

  • Park, Sang-Kun
    • Korean Journal of Computational Design and Engineering
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    • v.17 no.4
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    • pp.282-293
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    • 2012
  • This paper presents an error-bounded B-spline fitting technique to approximate unorganized data within a prescribed error tolerance. The proposed approach includes two main steps: leastsquares minimization and error-bounded approximation. A B-spline hypervolume is first described as a data representation model, which includes its mathematical definition and the data structure for implementation. Then we present the least-squares minimization technique for the generation of an approximate B-spline model from the given data set, which provides a unique solution to the problem: overdetermined, underdetermined, or ill-conditioned problem. We also explain an algorithm for the error-bounded approximation which recursively refines the initial base model obtained from the least-squares minimization until the Euclidean distance between the model and the given data is within the given error tolerance. The proposed approach is demonstrated with some examples to show its usefulness and a good possibility for various applications.

Method of Fast Interpolation of B-Spline Volumes for Reconstructing the Heterogeneous Model of Bones from CT Images (CT 영상에서 뼈의 불균질 모델 생성을 위한 B-스플라인 볼륨의 빠른 보간 방법)

  • Park, Jun Hong;Kim, Byung Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.40 no.4
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    • pp.373-379
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    • 2016
  • It is known that it is expedient to represent the distribution of the properties of a bone with complex heterogeneity as B-spline volume functions. For B-spline-based representation, the pixel values of CT images are interpolated by B-spline volume functions. However, the CT images of a bone are three-dimensional and very large, and hence a large amount of memory and long computation time for the interpolation are required. In this study, a method for resolving these problems is proposed. In the proposed method, the B-spline volume interpolation problem is simplified by using the uniformity of pixel spacing of the image and the properties of B-spline basis functions. This results in a reduction in computation time and the amount of memory used. The proposed method was implemented and it was verified that the computation time and the amount of memory used were reduced.