共查询到20条相似文献,搜索用时 31 毫秒
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给出一种构造广义混沌序列的方法, 并把该混沌序列应用于数字图像加密.基于n次Bézier曲线和n次有理Bézier曲线给出两种构造广义混沌序列的方法, 生成的混沌序列具有很好的伪随机性. 通过对混沌序列的非线性离散化处理, 可以生成相应的整数型伪随机序列, 利用该整数型混沌序列对数字图像进行加密.数字实验表明, 该算法生成的混沌序列对数字图像加密效果良好, 且该加密算法简单易行, 具有较好的安全性. 相似文献
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给出了带两个形状参数λ1,λ2的类四次三角多项式Bézier曲线。该曲线不仅具有与四次Bézier曲线类似的性质,而且无需有理形式即可精确表示圆、椭圆、抛物线等二次曲线弧以及高精度近似表示圆柱螺线等超越曲线。利用两个参数的不同取值能够局部或整体调控曲线的形状,并且可以从两侧逼近控制多边形。讨论了两段曲线G2和C4连续的拼接条件。实例表明,该曲线在造型设计方面具有较高的应用价值。 相似文献
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B-样条曲线的升阶算法是CAD系统相互沟通必不可少的手段之一。B-样条曲线的控制多边形经过不断升阶以后,和Bézier曲线一样都会收敛到初始B-样条曲线。根据双次数B-样条的升阶算法,得到了B-样条曲线升阶的收敛性证明。与以往升阶算法不同的是,双次数B-样条的升阶算法具有割角的性质,这就使B-样条曲线升阶有了鲜明的几何意义。得到的结论可以使B-样条曲线像Bézier曲线一样,通过几何割角法生成。 相似文献
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本文给出了带有给定切线多边形的保形有理三次B样条曲线,其部分权因子可通过选取切点的位置来确定,由此方法还导出了保形有理三次B样条插值曲线,最后,给出了两个例子。 相似文献
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Ishak Hashim Nur Nabilah Che Draman Samsul Ariffin Abdul Karim Wee Ping Yeo Dumitru Baleanu 《计算机、材料和连续体(英文)》2021,69(1):221-236
This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with continuity everywhere. We derive the condition on each adjacent triangle. On each triangular patch, we employ convex combination method between three local schemes. The final interpolant with the rational corrected scheme is suitable for regular and irregular scattered data sets. We tested the proposed scheme with 36,65, and 100 data points for some well-known test functions. The scheme is also applied to interpolate the data for the electric potential. We compared the performance between our proposed method and existing scattered data interpolation schemes such as Powell–Sabin (PS) and Clough–Tocher (CT) by measuring the maximum error, root mean square error (RMSE) and coefficient of determination (). From the results obtained, our proposed method is competent with cubic Bézier, cubic Ball, PS and CT triangles splitting schemes to interpolate scattered data surface. This is very significant since PS and CT requires that each triangle be splitting into several micro triangles. 相似文献
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平面散乱点集的曲线重建是逆向工程研究的核心问题之一。该文在Goshtasby算法的基础上,提出了一种基于场分布的平面散乱点集B样条曲线重建算法。首先,通过估计场强基函数的边界提高量子化效率,生成散乱点集场分布的数字图像;然后,利用图像细化结合改进的BFS(Breadth-First-Search)算法来避免数字图像中由于存在大量冗余分支像素而难以生成脊轮廓的问题;最后,采用加权最小二乘法延长重建曲线,改进Goshtasby算法所得的开曲线在端点处收缩的缺点。实验表明,对于带噪声的平面稠密点集,该算法可有效地重建反映点集形状和走向的B样条曲线。 相似文献
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目的复杂型面零件功能特征多样,结构尺寸呈现空间分布,传统的手工检测方法无法满足检测工作要求,为提升检测效率,提出一种基于机器视觉的非接触式测量方法。方法使用CCD相机采集图像信息,对图像进行分析处理,获得圆的亚像素边缘轮廓,再通过最小二乘法进行圆拟合求得圆的参数方程,最后利用几何距离公式求得像素距离。通过系统标定求出像素当量,由像素当量最终求得圆与圆之间的实际距离。结果最小二乘拟合圆亚像素边缘检测算法稳定,抗噪性能较好,算法的分辨率为0.001个像素。结论该方法可正确、方便、有效地对零件进行尺寸测量。 相似文献
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Commercial CAD surface modelling software is based almost exclusively on Bézier, B-spline and NURBS representations. These methods offer simple interactive shape modification and computationally efficient interrogations, but have some serious practical limitations. The root cause of all these problems is that the parametric polynomial methods are not geometry-based, and the trouble is compounded by the master geometry philosophy which treats the CAD model as if it were absolutely correct. An alternative purely geometric approach to surface modelling has been established, where the surface shape is characterised by a grid of points lying on the surface, but it is recognised that this approach would require major changes in existing CAE systems. This application paper explains the rationale to develop algorithms, which would plug into existing CAE software systems, so that the user could benefit from the point-based construction without disturbing the established mode of operation. The new point-based approach has achieved significant success in ensuring that form tools produce panels within a specified tolerance. 相似文献
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提出了利用B样条曲线构造风机叶片中线的新方法:以叶栅平面内特定的6个点作为控制点构造3段三次均匀B样条曲线,构成一种新型的叶片中线模型。理论分析表明,利用本方法得到的叶型具有对气流加压强度从零开始逐渐增加然后逐渐降低至零的特点。论文还计算并分析了其加压强度沿叶片中线的分布规律与设计参数的一般关系曲线,结果表明,通过设计参数的合理选取可以获得加压性能良好的轴流风机叶型。 相似文献
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Sensitivity Analysis Based Multiple Objective Preform Die Shape Optimal Design in Metal Forging 总被引:1,自引:0,他引:1
Xinhai ZHAO Guoqun ZHAO Guangchun WANG Tonghai WANG 《材料科学技术学报》2006,22(2):273-278
The multiple objective preform design optimization was put forward. The final forging's shape and deformation uniformity were considered in the multiple objective. The objective is to optimize the shape and the deformation uniformity of the final forging at the same time so that a more high integrate quality of the final forging can be obtained. The total objective was assembled by the shape and uniformity objective using the weight adding method. The preform die shape is presented by cubic B-spline curves. The control points of B-spline curves are used as the design variables. The forms of the total objective function, shape and uniformity sub-objective function are given. The sensitivities of the total objective function and the sub-objective functions with respect to the design variables are developed. Using this method, the preform die shape of an H-shaped forging process is optimally designed. The optimization results are very satisfactory. 相似文献
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通过一类代数三角混合Bézier型基函数的定义,构造了一类C2连续的代数三角混合Bézier型插值曲线。该曲线继承了Bézier曲线的一些优良特性,并能充分克服Bézier型基函数不能精确表示二次曲线曲面以及某些超越曲线曲面的弱点。另外,利用形状控制参数可以灵活调节曲线形状,进一步增强了曲线曲面的表现能力。最后实例表明了新的插值曲线应用于几何造型的有效性。 相似文献