图像校正中的全局多项式逼近
Better Global Polynomial Approximation for Image Rectification
摘要：
当使用图像来定位对象时，存在校正图像中的失真和未对准的问题。解决这个问题的一个优雅的方法是生成一个错误校正函数，将图像中的点映射到它们的校正位置。我们通过将多项式拟合到一组样本点来生成这样的函数。目标是确定一个多项式，通过“足够接近”这些点与“良好”的近似中间点。在过去，仅使用样本点很难实现良好的全局多项式逼近。我们报告的发展，一个全球性的多项式近似算法解决这个问题。关键词：多项式逼近，插值，图像校正。
英文摘要：
When using images to locate objects, there is the problem of correcting for distortion and misalignment in the images. An elegant way of solving this problem is to generate an error correcting function that maps points in an image to their corrected locations. We generate such a function by fitting a polynomial to a set of sample points. The objective is to identify a polynomial that passes "sufficiently close" to these points with "good" approximation of intermediate points. In the past, it has been difficult to achieve good global polynomial approximation using only sample points. We report on the development of a global polynomial approximation algorithm for solving this problem. Key Words: Polynomial approximation, interpolation, image rectification.
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