Some Algorithms For Curve Design And Automatic Outline Capturing Of Images
Some Algorithms For Curve Design And Automatic Outline Capturing Of Images
复制标题
曲线设计和图像自动轮廓捕捉的一些算法
DOI：
10.1142/s0219467804001427
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
M. Sarfraz
中科院分区：
文献类型：
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作者：
M. Sarfraz
引入了一种新的多用途曲线技术，该技术旨在自动为平面中的任何有序数据提供拟合。该技术对于设计目的以及大量数据集的可视化特别经济。更灵活的三次函数类是该技术的基础。此类函数涉及两个控制参数，以在每个段中产生比普通贝塞尔三次方或埃尔米特三次方更灵活的形状。这些函数与控制参数一起用于以交互方式拟合设计曲线。这些功能还以最佳方式利用，以将设计曲线拟合到任何图像或科学现象产生的数据。设计曲线方法对于捕捉图像轮廓非常有用。它在方法上不同于文献中使用贝塞尔三次曲线的现有技术。曲线技术在其构造中使用了多种想法。这些想法包括端点插值、特征点检测、最小二乘近似。最终形状是通过以 GC1 平滑度缝合广义贝塞尔立方块来实现的。最后，针对不同的应用提出了三种算法。
A new multipurpose curve technique has been introduced which is meant to automatically provide a fit to any ordered data in a plane. The technique is particularly economical for designing purposes as well as for the visualization of a large amount of data sets. A more flexible class of cubic functions is the basis of this technique. This class of functions involves two control parameters, to produce more flexible shapes than ordinary Bezier cubics or Hermite cubics, in each segment. These functions, together with the control parameters, are utilized to fit a design curve in an interactive way. These functions are also utilized in an optimal way to fit a design curve to the data arose from any image or a scientific phenomenon. The design curve method is highly useful to capture the outlines of images. It differs, in its methodology, from the existing techniques in the literature using Bezier cubics. The curve technique has used various ideas in its construction. These ideas include end-point interpolation, detection of characteristic points, least squares approximation. The final shape is achieved by stitching the generalized Bezier cubic pieces with GC1 smoothness. Finally, three algorithms have been proposed for various applications.