αB-spline: a linear singular blending B-spline

A linear singular blending (LSB) technique can enhance the shape—control capability of the B-spline. This capability is derived from the blending parameters defined at the B-spline control vertices and blends LSB line segments or bilinear surface patches with the B-spline curve or surface. Varying the blending parameters between zero and unity applies tension for reshaping. The reshaped curve or surface retains the same smoothness properties as the original B-spline; it possesses the same strict parametric continuities. This is different from the -spline, which introduces additional control to the B-spline by imposing geometrical continuities to the joints of curve segments or surface patches. For applications in which strict parametric continuities cannot be compromised, LSB provides an intuitive way to introduce tension to the B-spline.     

Analysis of a Gyroscope＇s Rotor Nonlinear Supported Magnetic Field Based on the B-Spline Wavelet-FEM

A supported framework of a gyroscope＇s rotor is designed and the B-Spline wavelet finite element model of nonlinear supported magnetic field is worked out. A new finite element space is studied in which the scaling function of the B-spline wavelet is considered as the shape function of a tetrahedton. The magnetic field is spited by an artificial absorbing body which used the condition of field radiating, so the solution is unique. The resolution is improved via the varying gradient of the B-spline function under the condition of unchanging gridding. So there are some advantages in dealing with the focus flux and a high varying gradient result from a nonlinear magnetic field. The result is more practical. Plots of flux and in the space is studied via simulating the supported system model. The results of the study are useful in the research of the supported magnetic system for the gyroscope rotor.     

Learning of perceptual grouping for object segmentation on RGB-D data

Object segmentation of unknown objects with arbitrary shape in cluttered scenes is an ambitious goal in computer vision and became a great impulse with the introduction of cheap and powerful RGB-D sensors. We introduce a framework for segmenting RGB-D images where data is processed in a hierarchical fashion. After pre-clustering on pixel level parametric surface patches are estimated. Different relations between patch-pairs are calculated, which we derive from perceptual grouping principles, and support vector machine classification is employed to learn Perceptual Grouping. Finally, we show that object hypotheses generation with Graph-Cut finds a globally optimal solution and prevents wrong grouping. Our framework is able to segment objects, even if they are stacked or jumbled in cluttered scenes. We also tackle the problem of segmenting objects when they are partially occluded. The work is evaluated on publicly available object segmentation databases and also compared with state-of-the-art work of object segmentation.     

玻璃制品造型的计算机辅助设计

玻璃制品造型的计算机辅助设计胡昌盛，翟守元，薛海涛（山东轻工业学院２５０１００）ＣｏｍｐｕｔｅｒＡｉｄｅｄＤｅｓｉｇｎｏｆＧｌａｓｓＷａｒｅＳｈａｐｅ￥ＨｕＣｈａｎｇｓｈｅｎｇ；ＺｈａｉＳｈｏｕｙｕａｎ；ＸｕｅＨａｉｔａｏ（ＳｈａｎｄｏｎｇＩｎｓｔｉ...     

基于二维小波变换的爆堆矿岩边缘检测

根据爆堆图像灰度分布的特点,并结合小波变换应用于边缘检测的基本原理,采用能够检测局部突变能力的B样条小波用于爆堆岩石的边缘检测。通过推导,给出B样条小波滤波器,并根据滤波器设计出了基于二维小波边缘检测算法。在小波边缘分割中自主设计了自适应阈值检测算法,该算法能很好地去除图像的噪声,并保留了图像的边缘。     

Multivariable wavelet finite element for flexible skew thin plate analysis

Flexible skew thin plate is widely used in mechanical engineering, architectural engineering and structural engineering. High-precision analysis is very important for structural design and improvement. In this paper, the multivariable wavelet finite element (MWFE) based on B-spline wavelet on the interval (BSWI) is constructed for flexible skew thin plate analysis. First, the finite element formulation is derived from multivariable generalized potential energy function. Then the generalized field variables are interpolated and calculated by BSWI. Different from the traditional wavelet finite element, the analysis precision can be improved because the generalized displacement and stress field variables are interpolated and calculated independently, the secondary calculation and the computational error are avoided. In order to verify the effectiveness of the constructed MWFE, several numerical examples are given in the end.     

样条有限点法用于变厚度圆柱壳的动力分析

本文将样条有限点法应用于变厚度圆柱壳的动力分析。推导出了适用于各种边界条件的统一格式,便于在计算机上实现。与通常的有限元法相比,具有计算量少、精度高等显著的优点。文中各种计算结果得到了现有文献成果的验证。     

Representation of High Resolution Images from Low Sampled Fourier Data: Applications to Dynamic MRI

In this work we propose the use of B-spline functions for the parametric representation of high resolution images from low sampled data in the Fourier domain. Traditionally, exponential basis functions are employed in this situation, but they produce artifacts and amplify the noise on the data. We present the method in an algorithmic form and carefully consider the problem of solving the ill-conditioned linear system arising from the method by an efficient regularization method. Two applications of the proposed method to dynamic Magnetic Resonance images are considered. Dynamic Magnetic Resonance acquires a time series of images of the same slice of the body; in order to fasten the acquisition, the data are low sampled in the Fourier space. Numerical experiments have been performed both on simulated and real Magnetic Resonance data. They show that the B-splines reduce the artifacts and the noise in the representation of high resolution Magnetic Resonance images from low sampled data. This work was supported by the Italian MIUR project Inverse Problems in Medical Imaging 2004–2006 (grant no 2004015818). Germana Landi received the BS degree in Mathematics from the University of Bologna in 1997 and the Ph.D. degree in Computational Mathematics from the University of Padova in 2000. She is currently a postdoctoral researcher in Numerical Analysis at the Department of Mathematics of the University of Bologna. Her research interests include medical imaging and inverse ill-posed problems. Elena Loli Piccolomini received the BS degree in Mathematics from the University of Bologna in 1988. She is an associate professor in Numerical Analysis at the Department of Mathematics of the University of Bologna. Her research interests include numerical methods for the regularization of discrete ill-posed problems with application to medical imaging (MR, TAC, SPECT, PET).     

基于Beta样条函数的图像滤波模板

图像滤波模板是图像处理的重要内容，该文应用Beta样条函数作平滑函数构造出图像滤波模板，它具有B样条函数及B样条函数图像滤波模板的优良特征，并且它可以通过两参数的调节来获取满意的模板。