• 한국정보통신학회:학술대회논문집
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• 한국해양정보통신학회 2003년도 춘계종합학술대회
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• pp.192-195
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• 2003

본 논문은 적외선 영상에 B-스플라인 웨이블릿 변환을 적용하여 의사컬러 이미지를 향상시킨 연구이다. 의사컬러 향상은 주파수 손실을 최소화하고 분해능을 향상시키기 위해 B-스플라인을 적용하였고, 웨이블릿 변환하여 RGB 영상을 추출하여 의사변환 하였다. B-스플라인 웨이블릿 변환은 일반적인 웨이블릿 변환에 비해 3dB이상 향상되었다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2012년도 춘계학술대회 논문집
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• pp.287-288
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• 2012

• Journal of applied mathematics & informatics
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• 제20권1_2호
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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.

• 한국정보과학회논문지:소프트웨어및응용
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• 제32권5호
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• pp.357-365
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• 2005

본 연구에서는 유사한 여러 물체들이 인접하여 나타나는 영상열로부터 물체들을 개별적으로 분리할 수 있는 B-spline 적합(fitting) 알고리즘을 제안한다. 기존의 스네이크(snake) 알고리즘들은 초기화의 어려움과 다수의 극점 존재로 인해서 이러한 영상자료에서 물체의 영역을 개별적으로 분리하는 데는 어려움이 있다. 본 연구에서는 이 문제를 극복하고 다양한 형태의 물체가 인접해 있는 유사한 물체들로부터 효과적으로 분할 할 수 있는 유전자(genetic) 알고리즘 기반 B-spline 적합방안을 제안한다. 실제 상황을 고려하여 생성된 영상자료와 실제 치아 CT 영상을 이용한 평가에서 제안된 방법은 서로 인접해 있는 유사한 형태와 자기의 물체들을 개별적으로 정확하게 분할할 수 있음을 보였다. 제안된 알고리즘의 결과는 이상적으로 추출된 영역과의 일치성과 false positive 오류 그리고 false negative오류가 계산되어 검증되었다.

• 제어로봇시스템학회논문지
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• 제20권2호
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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.

• International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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• 제5권1호
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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.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제8권3호
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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.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2000년도 가을 학술발표회논문집
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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.

• 한국CDE학회논문집
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• 제17권4호
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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.

• 대한기계학회논문집A
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• 제40권4호
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• pp.373-379
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• 2016

복잡한 불균질성을 가지는 뼈의 경우 물성치 분포를 B-스플라인 볼륨 함수를 이용해 표현하는 것이 적합하다고 알려져 있다. 물성치 분포에 대한 B-스플라인 볼륨 함수는 CT 영상의 각 화소값들을 보간하여 얻을 수 있다. 그러나 뼈의 CT 영상 데이터는 3차원이며 크기가 매우 크기 때문에 보간 시간이 오래 걸리며, 많은 컴퓨터 메모리가 필요하다. 본 연구에서는 이를 해결하기 위한 방법을 제안한다. 제안하는 방법에서는 영상이 가지는 화소 간격의 균일성 및 B-스플라인 기저 함수의 특징을 이용해 B-스플라인 볼륨 보간 문제를 단순화 시킨다. 이는 결과적으로 계산 시간 및 메모리 사용량을 줄여준다. 검증을 위해, 제안한 방법을 컴퓨터 프로그램으로 구현하였으며, 실험을 통해 계산 시간이 줄어든 것을 확인하였다.