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CT–scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2020-06-24 , DOI: 10.1016/j.cnsns.2020.105410
Giorgio Mantica

An approximation method of measures in the plane is obtained by combining CT-like (computerized tomography) projections and a one–dimensional fractal approximation technique previously devised by the author. Both methods are based on sampling by orthogonal polynomials and involve operations on Jacobi matrices, to avoid the well known ill conditioning of moment methods.



中文翻译:

仿射均匀迭代函数系统编码平面中的分形和非分形测量值的CT扫描

通过将类似CT的(计算机断层扫描)投影与作者先前设计的一维分形逼近技术相结合,获得了平面中度量的逼近方法。两种方法都基于正交多项式的采样,并且涉及对Jacobi矩阵的运算,以避免众所周知的矩条件的不适条件。

更新日期:2020-06-24
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