• 응용통계연구
• /
• 제5권2호
• /
• pp.181-192
• /
• 1992

본 논문에서는 텐서 스플라인을 이용하여, 일반화된 선형모형의 회귀합수를 자료에만 의존 하는 방식으로 추정하는 문제를 고려하였다. 최우 추정법을 이용하여 회귀 함수를 추정하는 데, 이용된 텐서 스틀라인은 접목점의 수가 유한개이며, 독립변수 영역의 주변에서는 선형으 로 제한되었다. 접목점을 자료의 각 좌표의 순서 통계량에 위치하도록 했고 그 수는 AIC의 변형된 식을 최소로 하는 수로 결정 했다. 모의 실험 예를 통하여 추정량을 예시하였다.

• Journal of Ship and Ocean Technology
• /
• 제10권2호
• /
• pp.24-36
• /
• 2006

Ship hullform is usually designed with a curve network, and smooth hullform surfaces are supposed to be generated by filling in (or interpolating) the curve network with appropriate surface patches. Tensor-product surfaces such as B-spline and $B\'{e}zier$ patches are typical representations to this interpolating problem. However, they have difficulties in representing the surfaces of irregular topological type which are frequently appeared in the fore- and after-body of ship hullform curve network. In this paper, we proposed a method that can automatically generate discrete $G^1$ continuous B-spline surfaces interpolating given curve network of ship hullform. This method consists of three steps. In the first step, given curve network is reorganized to be of two types: boundary curves and reference curves of surface patches. Especially, the boundary curves are specified for their surface patches to be rectangular or triangular topological type that can be represented with tensor-product (or degenerate) B-spline surface patches. In the second step, surface fitting points and cross boundary derivatives are estimated by constructing virtual iso-parametric curves at discrete parameters. In the last step, discrete $G^1$ continuous B-spline surfaces are generated by surface fitting algorithm. Finally, several examples of resulting smooth hullform surfaces generated from the curve network data of actual ship hullform are included to demonstrate the quality of the proposed method.

• Structural Engineering and Mechanics
• /
• 제25권5호
• /
• pp.613-629
• /
• 2007

A finite element method (FEM) of B-spline wavelet on the interval (BSWI) is used in this paper to solve the static and vibration problems of thin plate. Instead of traditional polynomial interpolation, the scaling functions of two-dimensional tensor product BSWI are employed to construct the transverse displacements field. The method combines the accuracy of B-spline functions approximation and various basis functions for structural analysis. Some numerical examples are studied to demonstrate the proposed method and the numerical results presented are in good agreement with the solutions of other methods.

• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 2003년도 가을 학술발표회 논문집
• /
• pp.429-436
• /
• 2003

A new linkage framework between elastic shell element with finite rotation and computar-aided geometric design (CAGD) (or surface is developed in the present study. The framework of shell finite element is based on the generalized curved two-parametric coordinate system. To represent free-form surface, cubic B-spline tensor-product functions are used. Thus the present finite element can be directly linked into the geometric modeling produced by surface generation tool in CAD software. The efficiency and accuracy of the Previously developed linear elements hold for the nonlinear element with finite rotations. To handle the finite rotation behavior of shells, exponential mapping in the SO(3) group is employed to allow the large incremental step size. The integrated frameworks of shell geometric design and nonlinear computational analysis can serve as an efficient tool in shape and topological design of surfaces with large deformations.

• 한국해양공학회지
• /
• 제31권3호
• /
• pp.189-195
• /
• 2017

A three-dimensional higher order boundary element method based on the B-spline is presented. The method accurately models piecewise continuous bodies and induced velocity potentials using B-spline tensor product representations, and it is capable of obtaining accurate pointwise values for the potential and its derivatives, especially in the trailing edge and tip region of the lift generating body, which may be difficult or impossible to evaluate with constant panel methods. In addition, we implement a wake roll-up and examine the tip vortex formation in the near wake region. The results are compared with existing numerical results and the results of experiments performed out at the cavitation tunnel of Chungnam National University.

• 대한기계학회논문집A
• /
• 제34권8호
• /
• pp.1007-1013
• /
• 2010

본 연구에서는 NURBS 의 국부 세분화 방법 중 하나인 계층적 B-스플라인을 이용해 스플라인 유한요소법의 국부 세분화를 수행하는 방법을 제안한다. 세분화가 필요한 영역에 전역 격자로부터 계층적으로 생성된 국소 격자를 중첩시켜 국부 세분화를 수행한다. 국소 격자의 매듭 벡터와 제어점은 전역 격자로부터 추출된 후 세분화 되는 과정을 거친다. 생성된 국소 격자에 적절한 연속성 조건을 부여 함으로써 전역 격자와 국소 격자의 연속성을 유지 한다. 제안된 방법을 이용해 수치 예제의 해석을 수행하였다. 이를 통해 기존 NURBS 기반 스플라인 유한요소법에 비해 제안된 방법의 효율성을 검증하였다.

• Structural Engineering and Mechanics
• /
• 제38권6호
• /
• pp.733-751
• /
• 2011

In the present study, a new kind of multivariable Reissner-Mindlin plate elements with two kinds of variables based on B-spline wavelet on the interval (BSWI) is constructed to solve the static and vibration problems of a square Reissner-Mindlin plate, a skew Reissner-Mindlin plate, and a Reissner-Mindlin plate on an elastic foundation. Based on generalized variational principle, finite element formulations are derived from generalized potential energy functional. The two-dimensional tensor product BSWI is employed to form the shape functions and construct multivariable BSWI elements. The multivariable wavelet finite element method proposed here can improve the solving accuracy apparently because generalized stress and strain are interpolated separately. In addition, compared with commonly used Daubechies wavelet finite element method, BSWI has explicit expression and a very good approximation property which guarantee the satisfying results. The efficiency of the proposed multivariable Reissner-Mindlin plate elements are verified through some numerical examples in the end.

• 응용통계연구
• /
• 제13권2호
• /
• pp.489-503
• /
• 2000

다양한 형태의 데이터로부터 의사 결정에 유용한 정보 및 지식을 발견하려는 일련의 데이터분석 및 모형 선정과정을 데이터 마이닝(Data Mining)이라고 할 수 있다. 데이터 마이닝의 적용 예로는 신규고객에 대한 신용평가, 고객이탈방지 등과 같은 분야에서 발생하는 스코링 문제를 들 수 있는데 신용평가에서는 신용이 나쁠 가능성을 스코어로 나타내고 스코어가 높은 고객을 대상으로 특별관리를 할 수 있을 것이며 고객이탈방지에서는 이탈가능성을 스코어로 나타내고 스코어가 높은 고객을 대상으로 이탈 방지 캠페인을 벌일 수 있을 것이다. 본 논문에서는 스코링 문제를 사후확률에 대한 모형화 문제로 파악하였다. 폴리클라스를 스코링 문제에 적용하는 방법을 소개한 후 이를 독일 신용 데이터, 국내 모 PC통신회사 데이터 및 국내 모 이동통신 데이터에 적용하였다. 스코링의 성능은 이득률을 이용하여 평가하고자 하는데 나무 모형에 비하여 폴리클라스 방법이 우수함을 확인하였다.