CT-scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems

摘要

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. (C) 2020 Elsevier B.V. All rights reserved.