九 曲线全局逼近(Curve Global Approximation) 在之前的两篇文章中,分别介绍了曲线和曲面的插值。在插值中,插值曲线以给定的顺序通过所有给定的数据点。然而,插值曲线可能会在所有数据点上摆动,而不是紧紧跟随数据多边形。为了克服这个问题,引入了近似技术,放宽了曲线必须包含所有数据点的严格要求。除了第一个和最后一个...
Numerical examples show that the new method is effective in approximating a given curve and is efficient in computation.doi:10.1016/j.cad.2010.01.008Xiao-Diao ChenWeiyin MaJean-Claude PaulesComputer-Aided DesignChen X D,,Ma W Y,Paul J C.Cubic B-spline curveapproximation by curve unclamping....
We present and compare the results of our ongoing experimentations with Transformers for B-spline curve approximation. We conclude with possible improvements and modifications to our method for future experiments. 展开 关键词: KeywordsB-splineCurve approximationTransformer neural networkKnot vector ...
An algorithm of B-spline curve approximation with the three-dimensional data is presented in this paper. In this algorithm, we will get a smooth curve which is nearly arc-length parameterization. The smoothness and uniform parameterization are key factors of the approximating curve, specifically in...
(i.e., arc-length parameterization), the chord length can only be an approximation. Sometimes, a longer chord may cause its curve segment to have a bulge bigger than necessary. In the figure below, the black and blue curves both interpolate 7 data points. As you can see, both curves ...
BsplineBasis类通过EvaluateCurve方法计算曲线上的点,曲线上的点的具体形式通过模板参数T_control_point确定,因此,曲线的具体维度和形式是不固定的。该方法的实现如下: /** Evaluates the B-spline curve defined by `this` and `control_points` at the ...
This paper deals with the challenging task of computing accurate contours from CT and MRI scans using B-spline curve approximation. To date bio-modeling and visualization have been performed primarily on voxel and facet (triangle) based models. On the other hand, traditional CAD has reached a ...
关键词: B-spline curve degree reduction constrained optimization approximation 被引量: 13 年份: 2003 收藏 引用 批量引用 报错 分享 全部来源 求助全文 Semantic Scholar 知网 ResearchGate AMS 相似文献 参考文献 引证文献Enlargement or reduction of digital images with minimum loss of information The purpose...
P. Goh, "A heuristic knot placement algorithm for b-spline curve approximation," Computer-Aided Design and Applications, vol. 1, no. 1-4, pp. 727-732, 2004.Li, W., Xu, S., Zhao, G. and Goh, L. P., 'A Heuristic Knot Placement Algorithm for B-spline Curve Approximation', ...
Control point adjustment for B-spline curve approximation Computer-Aided Design (2004) Y.J. Yang et al. A rational extension of Piegl’s method for filling n-sided holes Computer-Aided Design (2006)View more references Cited by (15) G <sup>1</sup> continuous approximate curves on NURBS su...