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1.
In this paper, we present a new method for the construction of parametric surfaces reproducing an object from a set of spatial data. We adopt a hybrid scheme, based on the Boolean sum of variable degree spline operators, which both interpolate a set of grid lines and approximate the data. As usual the variable degrees can be chosen to satisfy proper shape constraints.  相似文献
2.
A general method is given for constructing sets of sufficient linear conditions that ensure convexity of a polynomial in Bernstein-Bézier form on a triangle. Using the linear conditions, computational methods based on macro-element spline spaces are developed to construct convexity preserving splines over triangulations that interpolate or approximate given scattered data.  相似文献
3.
In this paper we present a new result on the saturation of sequences of linear operators in a multivariate and simultaneous setting. Specifically, a small o saturation result is obtained for the partial derivatives of the classical Bernstein bivariate operators on the unit simplex. Solutions of boundary value problems for certain partial differential equations of elliptic type play an important role.  相似文献
4.
王忠华  邓鹤  刘建国  陈忠 《计算机工程》2011,37(21):194-195,198
针对对比度低、边缘模糊和噪声干扰强的红外图像,提出一种融合非线性扩散与全变分的形状保持模型。其中,模型保真项用于保持图像形状,保留边缘、细节信息,范数项用于图像去噪。实验结果表明,与同类算法相比,该模型能更有效地去除噪声,保持图像形状,并增强图像对比视觉效果。  相似文献
5.
通过形状约束方程(组)与一般主动轮廓模型结合,将目标形状与主动轮廓模型融合到统一能量泛函模型中,提出一种形状保持主动轮廓模型.模型通过参数化水平集函数的零水平集表示某一类特定形状,不仅达到了分割即目标的目的,而且能够给出特定目标的定量描述.根据形状保持主动轮廓模型,建立一个用于长直条状目标检测的统一能量泛函模型,导出相应的Euler-Lagrange常微分方程并用水平集方法实现了长直条状区域的检测.此形状保持模型的一种特殊情况可以用于直线状地平(海天)线提取.实验结果表明,该模型不仅能够准确地检测出给定图像中的长直条状区域而且有很强的抗噪、抗变形及遮挡性能.  相似文献
6.
利用四次的Bézier曲线段构造了GC2连续的参数四次插值样条曲线,该样条曲线是保形的和局部的,且计算十分简单,所有的Bézier点由型值点和曲率直接计算产生,避免了求解矢量方程.最后,给出了一个数值实例.  相似文献
7.
A simple sequential thinning algorithm for peeling off pixels along contours is described. An adaptive algorithm obtained by incorporating shape adaptivity into this sequential process is also given. The distortions in the skeleton at the right-angle and acute-angle corners are minimized in the adaptive algorithm. The asymmetry of the skeleton, which is a characteristic of sequential algorithm, and is due to the presence of T-corners in some of the even-thickness pattern is eliminated. The performance (in terms of time requirements and shape preservation) is compared with that of a modern thinning algorithm.  相似文献
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9.
Normalized totally positive (NTP) bases present good shape preserving properties when they are used in Computer Aided Geometric Design. Here we characterize all the NTP bases of a space and obtain a test to know if they exist. Furthermore, we construct the NTP basis with optimal shape preserving properties in the sense of (Goodman and Said, 1991), that is, the shape of the control polygon of a curve with respect to the optimal basis resembles with the highest fidelity the shape of the curve among all the control polygons of the same curve corresponding to NTP bases. In particular, this is the case of the B-spline basis in the space of polynomial splines. Further examples are given.  相似文献
10.
SHAPEPRESERVINGQUADRATICSPLINEINTERPOLATIONCaimingZhang;TakeshiAgui;HiroshiNagahashiSHAPEPRESERVINGQUADRATICSPLINEINTERPOLATI...  相似文献
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