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Self images: an empirical enquiry into Rembrandt's self-portraits. [PDF]
Bettelheim EC +3 more
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Verification of historical sketches via one-class learning on compact feature representations. [PDF]
Ugail H +3 more
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Fractal-geometry analysis of pediatric posterior fossa tumors - a preoperative tool for prediction of histopathology. [PDF]
Mezei T +5 more
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Approximate resolutions and box-counting dimension
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Advances in the implementation of the box-counting method of fractal dimension estimation
Applied Mathematics and Computation, 1999The box-counting analysis is an appropriate method of fractal dimension estimation for images with or without self-similarity. However, this technique, including processing of the image and definition of the range of box sizes, requires a proper implementation to be effective in practice.
Pierre Dutilleul
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An improved box-counting method for image fractal dimension estimation
Pattern Recognition, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian Du, Caixin Sun
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An efficient differential box-counting approach to compute fractal dimension of image
IEEE Transactions on Systems, Man, and Cybernetics, 1994Fractal dimension is an interesting feature proposed to characterize roughness and self-similarity in a picture. This feature has been used in texture segmentation and classification, shape analysis and other problems. An efficient differential box-counting approach to estimate fractal dimension is proposed in this note.
B B Chaudhuri
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Box-counting dimension of graphs of generalized Takagi series
Japan Journal of Industrial and Applied Mathematics, 1996In 1984, \textit{M. Hata} and \textit{M. Yamaguti} [Japan J. Appl. Math. 1, 183-199 (1984; Zbl 0604.26004)] examined the Takagi function (the function \(T(x) =\sum 2^{-n} \psi(2^n x)\), where \(\psi (x) =1 -|2x -2[x] -1|\), which is a well-known example of a nowhere differentiable continuous function), as well as its generalization \(\sum a_n \psi(2^{n-
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Box-counting dimensions of popcorn subsets
Journal of Mathematical Analysis and Applications, 2023Let \(S\) be a subset of \(\mathbb N\).
Du, Yali, Wei, Chun, Wen, Shengyou
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