• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.95-104
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• 2007

We study stationary subdivision schemes based on radial basis function interpolation. Each scheme has a tension parameter, say ${\lambda}$, which actually belongs to the radial basis function. In particular, adapted subdivision rules on bounded intervals are developed.

• 대한공간정보학회지
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• 제14권4호통권38호
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• pp.27-36
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• 2006

현재 위성영상에서 정확한 위치정보를 얻고자 할 때 일반적으로 위성영상에 대응되는 지상에서의 위치 정보, 즉 지상기준점이 필요하다. 이 논문에서는 지상기준점 없이 영상의 위치 정보를 얻기 위하여 동일궤도에서 연속적으로 촬영한 위성영상들 중에서 한 위성영상의 획득한 기준점으로 모델을 수립한 뒤, 수립된 센서모델을 동일궤도상의 다른 영상에 적용할 때의 센서모델의 정확도를 분석하고자 한다. 분석에 사용한 센서모델은 궤도기반센서모델을 사용하며, 여러 위성의 위치 자세 내삽법 및 미지수조합을 시험하여 궤도모델링에 적합한 내삽법(interpolation)과 최적의 미지수 조합을 알아보고자 했다. 실험은 총 420Km의 길이에 해당하는 SPOT-3의 영상 7장과 GPS수신기에서 취득한 기준점을 사용하였다. 실험결과 단일영상에서는 내삽법과 미지수 조합에 따른 결과의 차이는 크게 나타나지 않았으나 궤도모델링 시에는 미지수 조합과 자세와 위치의 내삽법에 따라 다양한 결과가 나타남을 알 수 있다. 또한 적절한 미지수조합과 내삽법을 사용하면 한 영상에서 추출한 기준점만으로 총 420Km의 궤도를 정확하게 모델 할 수 있음을 알 수 있었다.

• 한국CDE학회논문집
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• 제2권4호
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• pp.237-243
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• 1997

A new method is introduced for the interpolation in NURBS Surface. This method uses the basis functions to assign the parameter values to the arbitrary set of geometric data and uses the iteration method to compute the control net. The advantages of this method are the feasible transformation of the data set to the matrix form and the effective surface generation as a result, especially to the design engineer.

• 대한수학회논문집
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• 제23권2호
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• pp.295-305
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• 2008

This paper demonstrates how composite-exponential-fitting interpolation rules can be constructed to fit an oscillatory function using not only pointwise values of that function but also of that functions's derivative on a closed and bounded interval of interest. This is done in the framework of exponential-fitting techniques. These rules extend the classical composite cubic Hermite interpolating polynomials in the sense that they become the classical composite polynomials as a parameter tends to zero. Some examples are provided to compare the newly constructed rules with the classical composite cubic Hermite interpolating polynomials (or recently developed interpolation rules).

• Journal of Mechanical Science and Technology
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• 제14권1호
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• pp.84-92
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• 2000

A new bounce back boundary method of the second order in error is proposed for the lattice Boltzmann fluid simulation. This new method can be used for the arbitrarily irregular lattice geometry of a non-slip boundary. The traditional bounce back boundary condition for the lattice Boltzmann simulation is of the first order in error. Since the lattice Boltzmann method is the second order scheme by itself, a boundary technique of the second order has been desired to replace the first order bounce back method. This study shows that, contrary to the common belief that the bounce back boundary condition is unilaterally of the first order, the second order bounce back boundary condition can be realized. This study also shows that there exists a generalized bounce back technique that can be characterized by a single interpolation parameter. The second order bounce back method can be obtained by proper selection of this parameter in accordance with the detailed lattice geometry of the boundary. For an illustrative purpose, the transient Couette and the plane Poiseuille flows are solved by the lattice Boltzmann simulation with various boundary conditions. The results show that the generalized bounce back method yields the second order behavior in the error of the solution, provided that the interpolation parameter is properly selected. Coupled with its intuitive nature and the ease of implementation, the bounce back method can be as good as any second order boundary method.

• 한국정보과학회논문지:컴퓨팅의 실제 및 레터
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• 제15권4호
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• pp.294-298
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• 2009

본 연구에서는 에지 성분의 추출을 보다 섬세하게 처리함으로써 이미지 화질을 개선하기 위한 방법을 제안한다. 제안 방법은 고전적인 보간을 응용한 ESII(Edge Sensitive Image Interpolation)으로 보간 커널 식에서 고정된 매개 변수를 사용하지 않고 주변 화소 값으로부터 적절한 정보를 얻어내서 매 화소마다 매개변수를 변화시킨다. LSE(Least Square Error)를 이용하여 CME(Camera Modelling Error)를 최소화 하도록 보간 할 화소 값을 결정함으로써 이미지를 복원하며, 기존 방법에 비교하여 객관적, 주관적 화질이 우수함을 실험, 제시하였으며 또한 영상을 1차원 정보로 분리하여 고려한 결과 계산상의 복잡도를 줄이는 효과를 기대할 수 있다.

• 지질공학
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• 제33권3호
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• pp.439-459
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• 2023

Numerical analysis has been adopted in nearly all modern scientific and engineering fields due to the rapid and ongoing evolution of computational technology, with the number of grid or mesh points in a given data field also increasing. Some values must be extracted from large data fields to evaluate and supplement numerical analysis results and observational data, thereby highlighting the need for a fast and effective interpolation approach. The quadrilateral irregular network (QIN) proposed in this study is a fast and reliable interpolation method that is capable of sufficiently satisfying these demands. A comparative sensitivity analysis is first performed using known test functions to assess the accuracy and computational requirements of QIN relative to conventional interpolation methods. These same interpolation methods are then employed to produce simple numerical model results for a real-world comparison. Unlike conventional interpolation methods, QIN can obtain reliable results with a guaranteed degree of accuracy since there is no need to determine the optimal parameter values. Furthermore, QIN is a computationally efficient method compared with conventional interpolation methods that require the entire data space to be evaluated during interpolation, even if only a subset of the data space requires interpolation.

• 산업기술연구
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• 제28권A호
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• pp.35-42
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• 2008

Recently, there are a lot of multimedia products to using image interpolation system. However, most interpolation systems in existence suffer visually to some extents the effects of blurred edges and jagged artifacts in the image. I in this paper, we propose the adaptive linear interpolation system that uses the sub-pixel. We system calculate the warped distance among the pixels of an image, and use data for Optimize length parameter. Our experimental results show that our new algorithm significantly outperforms linear interpolation in subjective quality, and in most cases, in terms of PSNR as well.

• Structural Engineering and Mechanics
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• 제17권1호
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• pp.87-97
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• 2004

In gradient-dependent plasticity theory, the yield strength depends on the Laplacian of an equivalent plastic strain measure (hardening parameter), and the consistency condition results in a differential equation with respect to the plastic multiplier. The plastic multiplier is then discretized in addition to the usual discretization of the displacements, and the consistency condition is solved simultaneously with the equilibrium equations. The disadvantage is that the plastic multiplier requires a Hermitian interpolation that has four degrees of freedom at each node. Instead of using a Hermitian interpolation, in this article, a 3-node incompatible (trigonometric) interpolation is proposed for the plastic multiplier. This incompatible interpolation uses only the function values of each node, but it is continuous across element boundaries and its second-order derivatives exist within the elements. It greatly reduces the degrees of freedom for a problem, and is shown through a numerical example on localization to yield good results.

• 한국해양공학회지
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• 제8권2호
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• pp.64-79
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• 1994

In this study, terrain classification, which was done by using the quantitative classification parameters and suitable interpolation method was applied to improve the accuracy of digital elevation models, and to increase its practical use of aerial photogrammetry. A terrain area was classified into three groups using the quantitative classification parameters to the ratio of horizontal, inclined area, magnitude of harmonic vectors, deviation of vector, the number of breakline and proposed the suitable interpolation. Also, the accuracy of digital elevation models was improved in case of large grid intervals by applying combined interpolation suitable for each terrain group. As a result of this study, I have an algorithm to perform the classification of the topography in the area of interest objectively and decided optimal data interpolation scheme for given topography.