摘要：A surface interpolation algorithm is presented. by using a special kind of knot vector. a b-spline surface can be constructed to interpolate an array of m ×n positions, including parameter u and v tangent vectors and twist vector at each positions. Single surface interpolation approach is easier to ensure the smoothness of the interpolating surface than multi-patches method. This algorithm can be used to solve the approximating problem of b-spline approximation of general parametric surface.

摘要：Making an exact computation of added resistance in sea waves is of high interest due to the economic effects relating to ship design and operation. In this paper, a b-spline based method is developed for computation of added resistance. based on the potential flow assumption, the velocity potential is computed using Green＇s formula. The Kochin function is applied to compute added resistance using Maruo＇s far-field method, the body surface is described by a b-spline curve and potentials and normal derivation of potentials are also described by b-spline basis functions and b-spline derivations. A collocation approach is applied for numerical computation, and integral equations are then evaluated by applying Gauss–Legendre quadrature. Computations are performed for a spheroid and different hull forms; results are validated by a comparison with experimental results. All results obtained with the present method show good agreement with experimental results.

摘要：In this paper, we present an algorithm for reconstruction of b-spline surface such that it interpolates the four given bound- ary curves and simultaneously approximates some given inner points. The main idea of our method is： first, we construct an initial surface which interpolates the four given boundary curves; then, while keeping the boundary control points of the initial surface un- changed, we reposition the inner control points of the surface with energy optimization method. Examples show that our algorithm is practicable and effective.

摘要：本文提出了一种曲线设计方法:用凸的非均匀b-spline曲线快速、有效地生成逼近曲线,以及当生成的曲线不满意时,如何进行修改,最终得到一条理想的逼近曲线。

摘要：Quantum energies which are used in applications are usually composed of repulsive and attractive terms. The objective of this study is to use an accurate and efficient fitting of the repulsive energy instead of using standard parametrizations. The investigation is based on Density Functional Theory and Tight binding simulations. Our objective is not only to capture the values of the repulsive terms but also to efficiently reproduce the elastic properties and the forces. The elasticity values determine the rigidity of a material when some traction or load is applied on it. The pair-potential is based on an exponential term corrected by b-spline terms. In order to accelerate the computations, one uses a hierarchical optimization for the b-splines on different levels. Carbon graphenes constitute the configurations used in the simulations. We report on some results to show the efficiency of the b-splines on different levels.

摘要：For the generation of the model in reverse engineering, a laser scanner is currently used a lot due to the fast measuring speed and high precision. Direct triangulation of data points captured from a physical object has a great advantage in that it can reduce the time and error in modeling process. It is important to reduce the number of data points for triangulating points with maintaining precision. To triangulate data points within a tolerance ε a new approach is developed in this paper. Different level of triangulations can be generated directly from data points using the proposed strategy that reduces and triangulates data points based on triangulation of 3D parametric surfaces. An experimental example is presented to demonstrate the effectiveness and efficiency of the proposed algorithm.

摘要：Taking advantage of the new standard HTML5,we designed an online tool called a browser/server-based glaucoma image database builder(bGIDb)for the demarcation of the optic disk and cup’s ellipse-like *** b-spline interpolation algorithm is used,and a specially designed algorithm is proposed for classifying the disease grade according to the disc damage likelihood scale criterion,which is correlated strongly with the glaucoma process by *** tool exhibits the best performance with a low overlapping error of 4.34%for the optic disk demarcation and 8.31%for the optic cup *** also has preferable time-consuming as compared to other tools and is a cross-platform *** tool has already been utilized in building the ophthalmic image database in the cooperation of Center for Ophthalmic Imaging Research and The Second Xiangya Hospital.

摘要：通过对缩放图像几何信息的提取,利用b spline函数的型值获取图像的缩放比例;同时,利用小波变换的性质简化了传统的模板匹配算法,最终实现了缩放图像的自动匹配实验结果表明,文中方法具有较快的运算速度和较好的匹配精度。

摘要：Aim To calculate and analyze the near field distribution of ariborne short wave antenna. Methods b-spline method was used to get the mathermatital model of a boeing 707320baircraft and simulate its short wave antenna . FDTD (finite-difference time-domain) method are ed tO complete the calculation and analysis. Results The near field distributions on aircraft's surface were obtained, the curve and gray figures of the normalized near field value were shown. Conclusion These modeling and calculating methods can provide data foraircraft's EMC analysis and design.

摘要：Through a precise recursion of b-spline bases, this paper presents an efficient algorithm for the calculation of NURbS curves and all their derivatives. The algorithm requires less storage and is proved to be stable.