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Probabilistic 2D Point Interpolation and Extrapolation via DataModeling

机译:通过数据建模进行概率2D点内插和外推

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Mathematics and computer science are interested in methods of 2D curve interpolation andextrapolation using the set of key points (knots). A proposed method of Hurwitz- Radon Matrices (MHR)is such a method. This novel method is based on the family of Hurwitz-Radon (HR) matrices whichpossess columns composed of orthogonal vectors. Two-dimensional curve is interpolated via differentfunctions as probability distribution functions: polynomial, sinus, cosine, tangent, cotangent, logarithm,exponent, arcsin, arccos, arctan, arcctg or power function, also inverse functions. It is shown how tobuild the orthogonal matrix operator and how to use it in a process of curve reconstruction.
机译:数学和计算机科学对使用关键点(结)集进行2D曲线内插和外推的方法感兴趣。提出的Hurwitz- Rad矩阵(MHR)方法就是这样的方法。这种新方法基于Hurwitz-Radon(HR)矩阵族,该矩阵具有由正交向量组成的列。二维曲线通过不同的函数作为概率分布函数进行插值:多项式,正弦,余弦,正切,余切,对数,指数,反正弦,反余弦,反正切,反正切或幂函数,以及反函数。它显示了如何构建正交矩阵算子以及如何在曲线重建过程中使用它。

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