7.10.8 Fractals for Texture Analysis and Description, Fractal Dimension

Chapter Contents (Back)
Fractals. Textures, Fractals.
See also Fractal Texture Segmentation.
See also Fractal Based Coding and Compression, Fractal Coding, Fractal Compression.
See also Fractal Representations, Fractal Dimension.

Peleg, S., Naor, J., Hartley, R.L., Avnir, D.,
Multiple Resolution Texture Analysis and classification,
PAMI(6), No. 4, July 1984, pp. 518-523. Refutes the Fractal theory of texture made by Pentland. BibRef 8407

Geronimo, J.S.[Jeffrey S.], Hardin, D.P.[Douglas P.], and Massopust, P.R.[Peter R.],
Fractal Surfaces, Multiresolution Analyses, and Wavelet Transforms,
MDSG94(275) BibRef 9400

Jin, X.C., Ong, S.H., Jayasooriah,
A Practical Method for Estimating Fractal Dimension,
PRL(16), 1995, pp. 457-464. BibRef 9500

Garding, J.,
Properties of Fractal Intensity Surfaces,
PRL(8), December 1988, pp. 319-324. BibRef 8812
And: ISRN KTH/NA/P-87/16-SE. BibRef

Neil, G., Curtis, K.M.,
Shape-Recognition Using Fractal Geometry,
PR(30), No. 12, December 1997, pp. 1957-1969.
Elsevier DOI 9805
BibRef

Penn, A.I., Loew, M.H.,
Estimating Fractal Dimension with Fractal Interpolation Function Models,
MedImg(16), No. 6, December 1997, pp. 930-937.
IEEE Top Reference. 9803
BibRef

Biswas, M.K., Ghose, T., Guha, S., Biswas, P.K.,
Fractal Dimension Estimation For Texture Images: A Parallel Approach,
PRL(19), No. 3-4, March 1998, pp. 309-313. 9807
BibRef

Dodd, N.,
Multispectral Texture Synthesis Using Fractal Concepts,
PAMI(9), No. 5, September 1987, pp. 703-707. Texture Synthesis. BibRef 8709

Rinaldo, R., Zakhor, A.,
Inverse and Approximation Problem for Two-Dimensional Fractal Sets,
IP(3), No. 6, November 1994, pp. 802-820.
IEEE DOI BibRef 9411

Meisel, L.V., Johnson, M.A.,
Convergence of Numerical Box-Counting and Correlation Integral Multifractal Analysis Techniques,
PR(30), No. 9, September 1997, pp. 1565-1570.
Elsevier DOI 9708
BibRef

Rogers, G.W.[George W.], Priebe, C.E.[Carey E.], Solka, J.L.[Jeffrey L.], Lorey, R.A.[Richard A.], Julin, E.G.[Erik G.],
System and method for incorporating segmentation boundaries into the calculation of fractal dimension features for texture discrimination,
US_Patent5,671,294, Sep 23, 1997
WWW Link. BibRef 9709

Emerson, C.W.[Charles W.], Lam, N.S.N.[Nina Siu-Ngan], Quattrochi, D.A.[Dale A.],
Multi-Scale Fractal Analysis of Image Texture and Patterns,
PhEngRS(65), No. 1, January 1999, pp. 51-62. How fractal dimension changes with scale BibRef 9901

Qiu, H.L.[Hong-Lie], Lam, N.S.N.[Nina Siu-Ngan], Quattrochi, D.A.[Dale A.], Gamon, J.A.[John A.],
Fractal Characterization of Hyperspectral Imagery,
PhEngRS(65), No. 1, January 1999, pp. 63-72. BibRef 9901

Asvestas, P., Matsopoulos, G.K., Nikita, K.S.,
Estimation of fractal dimension of images using a fixed mass approach,
PRL(20), No. 3, March 1999, pp. 347-354. BibRef 9903

Chen, Y.Q., Bi, G.,
On Texture Classification Using Fractal Dimension,
PRAI(13), No. 6, September 1999, pp. 929. 0005
BibRef

Moon, Y.H., Kim, H.S., Kim, J.H.,
A Fast Fractal Decoding Algorithm Based on the Selection of an Initial Image,
IP(9), No. 5, May 2000, pp. 941-945.
IEEE DOI 0005
BibRef

Ilow, J., Leung, H.,
Self-similar texture modeling using FARIMA processes with applications to satellite images,
IP(10), No. 5, May 2001, pp. 792-797.
IEEE DOI 0105
BibRef

Tao, Y.[Yu], Lam, E.C.M.[Ernest C.M.], Tang, Y.Y.[Yuan Y.],
Feature extraction using wavelet and fractal,
PRL(22), No. 3-4, March 2001, pp. 271-287.
Elsevier DOI 0105
BibRef
Earlier:
Extraction of Fractal Feature for Pattern Recognition,
ICPR00(Vol II: 527-530).
IEEE DOI 0009
BibRef

Tao, Y.[Yu], Ioerger, T.R., Sacchettini, J.C.,
Extracting fractal features for analyzing protein structure,
ICPR02(II: 482-485).
IEEE DOI 0211
BibRef

Tang, Y.Y.[Yuan Y.], Tao, Y.[Yu], Lam, E.C.M.[Ernest C.M.],
New method for feature extraction based on fractal behavior,
PR(35), No. 5, May 2002, pp. 1071-1081.
Elsevier DOI 0202
BibRef
Earlier:
The application of fractal analysis to feature extraction,
ICIP99(II:875-879).
IEEE DOI BibRef

Turiel, A.[Antonio],
Relevance of multifractal textures in static images,
ELCVIA(1), No. 1, 2002, pp. 35-49.
DOI Link 0304
BibRef

Li, J.[Jun], Nekka, F.[Fahima],
The Hausdorff measure functions: A new way to characterize fractal sets,
PRL(24), No. 15, November 2003, pp. 2723-2730.
Elsevier DOI 0308
Fractal dimension. BibRef

Drakopoulos, V., Nikolaou, N.P.,
Efficient computation of the Hutchinson metric between digitized images,
IP(13), No. 12, December 2004, pp. 1581-1588.
IEEE DOI 0412
Based on shape as projected on the screen. In Fractal processing. BibRef

Sun, W.X.[Wan-Xiao],
Three New Implementations of the Triangular Prism Method for Computing the Fractal Dimension of Remote Sensing Images,
PhEngRS(72), No. 4, April 2006, pp. 373-382.
WWW Link. 0610
BibRef

Levit, M., Roy, D.,
Interpretation of Spatial Language in a Map Navigation Task,
SMC-B(37), No. 3, June 2007, pp. 667-679.
IEEE DOI 0706
BibRef

Campisi, P., Maiorana, E., Neri, A.,
Video Textures Fractal Modeling,
SPLetters(14), No. 6, June 2007, pp. 405-408.
IEEE DOI 0706
BibRef

Xu, Y.[Yong], Ji, H.[Hui], Fermüller, C.[Cornelia],
Viewpoint Invariant Texture Description Using Fractal Analysis,
IJCV(83), No. 1, June 2009, pp. xx-yy.
Springer DOI 0903
BibRef
Earlier:
A Projective Invariant for Textures,
CVPR06(II: 1932-1939).
IEEE DOI 0606
Multifractal spectrum to be invariant to projections. BibRef

Xu, Y.[Yong], Huang, S.B.[Si-Bin], Ji, H.[Hui], Fermüller, C.[Cornelia],
Scale-space texture description on SIFT-like textons,
CVIU(116), No. 9, September 2012, pp. 999-1013.
Elsevier DOI 1208
BibRef
Earlier:
Combining powerful local and global statistics for texture description,
CVPR09(573-580).
IEEE DOI 0906
Texture; Multi-fractal analysis; Image feature; Wavelet tight frame BibRef

Xu, Y.[Yong], Huang, S.B.[Si-Bin], Ji, H.[Hui],
Integrating local feature and global statistics for texture analysis,
ICIP09(1377-1380).
IEEE DOI 0911
BibRef

Jeng, J.H.[Jyh-Horng], Tseng, C.C.[Chun-Chieh], Hsieh, J.G.[Jer-Guang],
Study on Huber Fractal Image Compression,
IP(18), No. 5, May 2009, pp. 995-1003.
IEEE DOI 0904
Huber regression embedded in fractal representation. BibRef

Pi, M., Li, H.,
Fractal indexing with the joint statistical properties and its application in texture image retrieval,
IET-IPR(2), No. 4, August 2008, pp. 218-230.
DOI Link 0905
BibRef

Li, J.[Jian], Du, Q.[Qian], Sun, C.X.[Cai-Xin],
An improved box-counting method for image fractal dimension estimation,
PR(42), No. 11, November 2009, pp. 2460-2469.
Elsevier DOI 0907
BibRef
Earlier: A1, A3, A2:
A New Box-Counting Method for Estimation of Image Fractal Dimension,
ICIP06(3029-3032).
IEEE DOI 0610
Fractal dimension; Box-counting dimension; Fractional Brownian motion; Texture image; Remote sensing image BibRef

Ebrahimi, M.[Mehran],
A Necessary and Sufficient Contractivity Condition for the Fractal Transform Operator,
JMIV(33), No. 3, November 2009, pp. xx-yy.
Springer DOI 0909
BibRef

Wang, X.Y.[Xing-Yuan], Li, F.P.[Fan-Ping], Wang, S.G.[Shu-Guo],
Fractal image compression based on spatial correlation and hybrid genetic algorithm,
JVCIR(20), No. 8, November 2009, pp. 505-510.
Elsevier DOI 0911
Fractal image compression; Block coding; PIFS; Spatial correlation; Hybrid genetic algorithm; Simulated annealing; Neighborhood; Dyadic mutation operator BibRef

Backes, A.R.[Andre Ricardo], Bruno, O.M.[Odemir Martinez],
Shape classification using complex network and Multi-scale Fractal Dimension,
PRL(31), No. 1, 1 January 2010, pp. 44-51.
Elsevier DOI 1001
BibRef
Earlier:
A New Approach to Estimate Fractal Dimension of Texture Images,
ICISP08(136-143).
Springer DOI 0807
Shape analysis; Shape recognition; Complex network; Multi-scale Fractal Dimension BibRef

Backes, A.R.[André Ricardo],
A new approach to estimate lacunarity of texture images,
PRL(34), No. 13, 2013, pp. 1455-1461.
Elsevier DOI 1307
Texture analysis BibRef

Backes, A.R.[André Ricardo], Eler, D.M.[Danilo Medeiros], Minghim, R.[Rosane], Bruno, O.M.[Odemir Martinez],
Characterizing 3D Shapes Using Fractal Dimension,
CIARP10(14-21).
Springer DOI 1011
BibRef

Zuniga, A.G.[Alvaro Gomez], Bruno, O.M.[Odemir Martinez],
Enhancing Gabor Wavelets Using Volumetric Fractal Dimension,
CIARP10(362-369).
Springer DOI 1011
BibRef

Falvo, M.[Maurício], Florindo, J.B.[João Batista], Bruno, O.M.[Odemir Martinez],
A Method to Generate Artificial 2D Shape Contour Based in Fourier Transform and Genetic Algorithms,
ACIVS11(207-215).
Springer DOI 1108
BibRef

Florindo, J.B.[João B.], Backes, A.R.[André R.], Bruno, O.M.[Odemir M.],
Leaves Shape Classification Using Curvature and Fractal Dimension,
ICISP10(456-462).
Springer DOI 1006
BibRef

Backes, A.R.[André R.], Florindo, J.B.[João B.], Bruno, O.M.[Odemir M.],
A Novel Approach to Estimate Fractal Dimension from Closed Curves,
CAIP09(253-260).
Springer DOI 0909
BibRef

Backes, A.R.[André R.], Bruno, O.M.[Odemir M.],
Shape Skeleton Classification Using Graph and Multi-scale Fractal Dimension,
ICISP10(448-455).
Springer DOI 1006
BibRef
Earlier:
A Graph-Based Approach for Shape Skeleton Analysis,
CIAP09(731-738).
Springer DOI 0909

See also Medical Image Retrieval Based on Complexity Analysis.
See also Plant Species Identification Using Multi-scale Fractal Dimension Applied to Images of Adaxial Surface Epidermis. BibRef

Backes, A.R.[André R.], Bruno, O.M.[Odemir M.],
Plant Leaf Identification Using Color and Multi-scale Fractal Dimension,
ICISP10(463-470).
Springer DOI 1006
BibRef
Earlier:
Plant Leaf Identification Using Multi-scale Fractal Dimension,
CIAP09(143-150).
Springer DOI 0909
BibRef

Backes, A.R.[Andre Ricardo], Goncalves, W.N.[Wesley Nunes], Martinez, A.S.[Alexandre Souto], Bruno, O.M.[Odemir Martinez],
Texture analysis and classification using deterministic tourist walk,
PR(43), No. 3, March 2010, pp. 685-694.
Elsevier DOI 1001
Texture analysis; Texture recognition; Deterministic walk; Complex systems BibRef

Backes, A.R.[Andre Ricardo], Martinez, A.S.[Alexandre Souto], Bruno, O.M.[Odemir Martinez],
Texture analysis based on maximum contrast walker,
PRL(31), No. 12, 1 September 2010, pp. 1701-1707.
Elsevier DOI 1008
Texture analysis; Image analysis; Deterministic walk; Agents; Tourist walk
See also complex network-based approach for boundary shape analysis, A. BibRef

Backes, A.R.[André Ricardo], Martinez, A.S.[Alexandre Souto], Bruno, O.M.[Odemir Martinez],
Texture analysis using graphs generated by deterministic partially self-avoiding walks,
PR(44), No. 8, August 2011, pp. 1684-1689.
Elsevier DOI 1104
BibRef
Earlier:
Color Texture Analysis and Classification: An Agent Approach Based on Partially Self-avoiding Deterministic Walks,
CIARP10(6-13).
Springer DOI 1011
Texture analysis; Deterministic partially self-avoiding walk; Graph theory BibRef

Ribas, L.C.[Lucas C.], Bruno, O.M.[Odemir M.],
Dynamic Texture Classification Using Deterministic Partially Self-avoiding Walks on Networks,
CIAP19(I:82-93).
Springer DOI 1909
BibRef

Gonçalves, W.N.[Wesley Nunes], Bruno, O.M.[Odemir Martinez],
Dynamic texture segmentation based on deterministic partially self-avoiding walks,
CVIU(117), No. 9, 2013, pp. 1163-1174.
Elsevier DOI 1307
BibRef
Earlier:
Dynamic Texture Analysis and Classification Using Deterministic Partially Self-avoiding Walks,
ACIVS11(349-359).
Springer DOI 1108
Dynamic texture segmentation BibRef

Gonçalves, W.N.[Wesley Nunes], Bruno, O.M.[Odemir Martinez],
Combining fractal and deterministic walkers for texture analysis and classification,
PR(46), No. 11, November 2013, pp. 2953-2968.
Elsevier DOI 1306
Pattern recognition; Fractal dimension; Texture; Texture analysis; Deterministic walkers BibRef

Backes, A.R.[André R.], Bruno, O.M.[Odemir M.], Campiteli, M.G.[Mônica G.], Martinez, A.S.[Alexandre S.],
Deterministic Tourist Walks as an Image Analysis Methodology Based,
CIARP06(784-793).
Springer DOI 0611
Texture characterization based on scan pattern. BibRef

Chainais, P.[Pierre], Kœnig, É.[Émilie], Delouille, V.[Véronique], Hochedez, J.F.[Jean-François],
Virtual Super Resolution of Scale Invariant Textured Images Using Multifractal Stochastic Processes,
JMIV(39), No. 1, January 2011, pp. 28-44.
WWW Link. 1101
BibRef
Earlier: A2, A1, Only:
Virtual resolution enhancement of scale invariant textured images using stochastic processes,
ICIP09(3137-3140).
IEEE DOI 0911
BibRef
And: A2, A1, Only:
Multifractal Analysis on the Sphere,
ICISP08(613-621).
Springer DOI 0807
BibRef

Florindo, J.B.[Joao B.], Backes, A.R., de Castro, M., Bruno, O.M.[Odemir M.],
A comparative study on multiscale fractal dimension descriptors,
PRL(33), No. 6, 15 April 2012, pp. 798-806.
Elsevier DOI 1203
Multiscale fractal dimension; Functional Data Analysis; Fractal descriptors; Pattern recognition BibRef

Florindo, J.B.[Joao B.], Bruno, O.M.[Odemir M.],
Local fractal dimension and binary patterns in texture recognition,
PRL(78), No. 1, 2016, pp. 22-27.
Elsevier DOI 1606
Local fractal dimension BibRef

Zuñiga, A.G.[Alvaro G.], Florindo, J.B.[Joao B.], Bruno, O.M.[Odemir M.],
Gabor wavelets combined with volumetric fractal dimension applied to texture analysis,
PRL(36), No. 1, 2014, pp. 135-143.
Elsevier DOI 1312
Texture analysis BibRef

Florindo, J.B.[João Batista], Bruno, O.M.[Odemir Martinez],
Fractal descriptors based on the probability dimension: A texture analysis and classification approach,
PRL(42), No. 1, 2014, pp. 107-114.
Elsevier DOI 1404
Pattern recognition BibRef

Florindo, J.B.[João Batista], Bruno, O.M.[Odemir Martinez],
Texture Classification Based on Lacunarity Descriptors,
ICISP12(513-520).
Springer DOI 1208
BibRef
Earlier:
Fourier Fractal Descriptors for Colored Texture Analysis,
ACIVS11(284-292).
Springer DOI 1108
BibRef

Florindo, J.B.[Joao Batista], Assirati, L.[Lucas], Bruno, O.M.[Odemir Martinez],
Locally enhancing fractal descriptors by using the non-additive entropy,
PRL(70), No. 1, 2016, pp. 32-37.
Elsevier DOI 1602
Non-additive entropy BibRef

Delahaies, A.[Agnès], Rousseau, D.[David], Fasquel, J.B.[Jean-Baptiste], Chapeau-Blondeau, F.[François],
Local-feature-based similarity measure for stochastic resonance in visual perception of spatially structured images,
JOSA-A(29), No. 7, July 2012, pp. 1211-1216.
WWW Link. 1208
BibRef

Chauveau, J.[Julien], Rousseau, D.[David], Chapeau-Blondeau, F.[François],
Pair Correlation Integral for Fractal Characterization of Three-Dimensional Histograms from Color Images,
ICISP08(200-208).
Springer DOI 0807
BibRef

Ji, H., Yang, X., Ling, H., Xu, Y.,
Wavelet Domain Multifractal Analysis for Static and Dynamic Texture Classification,
IP(22), No. 1, January 2013, pp. 286-299.
IEEE DOI 1301
BibRef

Roux, S.G., Abry, P., Vedel, B., Jaffard, S., Wendt, H.,
Hyperbolic wavelet leaders for anisotropic multifractal texture analysis,
ICIP16(3558-3562)
IEEE DOI 1610
Anisotropic magnetoresistance BibRef

Wendt, H.[Herwig], Abry, P.[Patrice], Jaffard, S.[Stephane], Ji, H.[Hui], Shen, Z.W.[Zuo-Wei],
Wavelet Leader Multifractal Analysis for Texture Classification,
ICIP09(3829-3832).
IEEE DOI 0911

See also Self-Similar Anisotropic Texture Analysis: The Hyperbolic Wavelet Transform Contribution. BibRef

Ouahabi, A.[Abdeldjalil], Jaffard, S.[Stephane], Aouit, D.A.[Djedjiga Ait],
Wavelet based Multifractal Analysis in Fractography,
IPTA08(1-8).
IEEE DOI 0811
BibRef

Huang, X.Q.[Xiao-Qing], Zhang, Q.[Qin], Liu, W.B.[Wen-Bo],
A new method for image retrieval based on analyzing fractal coding characters,
JVCIR(24), No. 1, January 2013, pp. 42-47.
Elsevier DOI 1301
Fractal coding; Kernel density estimation; Image retrieval; Texture Image; Fractal coding parameters; Orthogonal Fractal Coding; Statistical Characteristics; Collage Error BibRef

Quan, Y.H.[Yu-Hui], Xu, Y.[Yong], Sun, Y.P.[Yu-Ping],
A distinct and compact texture descriptor,
IVC(32), No. 4, 2014, pp. 250-259.
Elsevier DOI 1404
Texture description BibRef

Xu, Y.[Yong], Quan, Y.H.[Yu-Hui], Zhang, Z.M.[Zhu-Ming], Ling, H.B.[Hai-Bin], Ji, H.[Hui],
Classifying dynamic textures via spatiotemporal fractal analysis,
PR(48), No. 10, 2015, pp. 3239-3248.
Elsevier DOI 1507
BibRef
Earlier: A1, A2, A4, A5:
Dynamic texture classification using dynamic fractal analysis,
ICCV11(1219-1226).
IEEE DOI 1201
Dynamic texture BibRef

Quan, Y., Huang, Y., Ji, H.,
Dynamic Texture Recognition via Orthogonal Tensor Dictionary Learning,
ICCV15(73-81)
IEEE DOI 1602
Computational modeling BibRef

Xu, Y.[Yong], Yang, X.[Xiong], Ling, H.B.[Hai-Bin], Ji, H.[Hui],
A new texture descriptor using multifractal analysis in multi-orientation wavelet pyramid,
CVPR10(161-168).
IEEE DOI Video of talk:
WWW Link. 1006
BibRef

Liu, Y.[Yu], Chen, L.Y.[Ling-Yu], Wang, H.M.[He-Ming], Jiang, L.L.[Lan-Lan], Zhang, Y.[Yi], Zhao, J.F.[Jia-Fei], Wang, D.Y.[Da-Yong], Zhao, Y.C.[Yue-Chao], Song, Y.C.[Yong-Chen],
An improved differential box-counting method to estimate fractal dimensions of gray-level images,
JVCIR(25), No. 5, 2014, pp. 1102-1111.
Elsevier DOI 1406
Differential box-counting method (DBC) BibRef

Ribas, L.C.[Lucas Correia], Gonçalves, D.N.[Diogo Nunes], Oruê, J.P.M.[Jonatan Patrick Margarido], Gonçalves, W.N.[Wesley Nunes],
Fractal dimension of maximum response filters applied to texture analysis,
PRL(65), No. 1, 2015, pp. 116-123.
Elsevier DOI 1511
Fractal dimension BibRef

Paskaš, M.P.[Milorad P.], Reljin, B.D.[Branimir D.], Reljin, I.S.[Irini S.],
Revision of multifractal descriptors for texture classification based on mathematical morphology,
PRL(83, Part 1), No. 1, 2016, pp. 75-84.
Elsevier DOI 1609
Fractal dimension BibRef

Paskaš, M.P.[Milorad P.], Reljin, I.S.[Irini S.], Reljin, B.D.[Branimir D.],
Novel Fractional-Order Difference Schemes Reducible to Standard Integer-Order Formulas,
SPLetters(24), No. 6, June 2017, pp. 912-916.
IEEE DOI 1705
Fourier transforms, Image segmentation, Laplace equations, Mathematical model, Standards, Transfer functions, Backward fractional differences, Grünwald-Letnikov derivatives, central fractional differences, fractional calculus, texture, enhancement BibRef

Chaurasia, V.[Vijayshri], Chaurasia, V.[Vaishali],
Statistical feature extraction based technique for fast fractal image compression,
JVCIR(41), No. 1, 2016, pp. 87-95.
Elsevier DOI 1612
Affine transform BibRef

Backes, A.R.[André Ricardo],
Upper and lower volumetric fractal descriptors for texture classification,
PRL(92), No. 1, 2017, pp. 9-16.
Elsevier DOI 1705
Texture, recognition BibRef

So, G.B.[Gun-Baek], So, H.R.[Hye-Rim], Jin, G.G.[Gang-Gyoo],
Enhancement of the Box-Counting Algorithm for fractal dimension estimation,
PRL(98), No. 1, 2017, pp. 53-58.
Elsevier DOI 1710
BC, method BibRef

Borowska, M.[Marta], Borys, K.[Kaja], Szarmach, J.[Janusz], Oczeretko, E.[Edward],
Fractal dimension in textures analysis of xenotransplants,
SIViP(11), No. 8, November 2017, pp. 1461-1467.
Springer DOI 1710
BibRef

di Martino, G.[Gerardo], Iodice, A.[Antonio], Riccio, D.[Daniele], Ruello, G.[Giuseppe], Zinno, I.[Ivana],
The Role of Resolution in the Estimation of Fractal Dimension Maps From SAR Data,
RS(10), No. 1, 2018, pp. xx-yy.
DOI Link 1802
BibRef

Wendt, H., Combrexelle, S., Altmann, Y., Tourneret, J.Y., McLaughlin, S., Abry, P.,
Multifractal Analysis of Multivariate Images Using Gamma Markov Random Field Priors,
SIIMS(11), No. 2, 2018, pp. 1294-1316.
DOI Link 1807
BibRef
Earlier: A2, A1, A3, A4, A5, A6:
Bayesian joint estimation of the multifractality parameter of image patches using gamma Markov Random Field priors,
ICIP16(4468-4472)
IEEE DOI 1610
BibRef
Earlier: A2, A1, A4, A3, A5, A6:
A Bayesian approach for the multifractal analysis of spatio-temporal data,
WSSIP16(1-4)
IEEE DOI 1608
Bayes methods. Markov processes BibRef

Florindo, J.B.[João Batista], Martinez Bruno, O.[Odemir],
Fractal Descriptors of Texture Images Based on the Triangular Prism Dimension,
JMIV(61), No. 1, January 2019, pp. 140-159.
Springer DOI 1901
BibRef

Chen, Z., Hu, Y., Zhang, Y.,
Effects of Compression on Remote Sensing Image Classification Based on Fractal Analysis,
GeoRS(57), No. 7, July 2019, pp. 4577-4590.
IEEE DOI 1907
Image coding, Remote sensing, Fractals, Feature extraction, Distortion, Transform coding, Image reconstruction, Fractal, remote sensing image BibRef

Cao, J.[Jian], Zhang, A.[Aihua], Shi, L.[Lei],
Orthogonal sparse fractal coding algorithm based on image texture feature,
IET-IPR(13), No. 11, 19 September 2019, pp. 1872-1879.
DOI Link 1909
BibRef

Li, Y.R.[Yu-Rong],
Fractal Dimension Estimation for Color Texture Images,
JMIV(62), No. 1, January 2020, pp. 37-53.
WWW Link. 2001
BibRef

Yildiz, K.[Kazim], Yildiz, Z.[Zehra],
Evaluation of nano-filler dispersion quality in polymeric films with binary feature characteristics and fractal analysis,
IET-IPR(14), No. 10, August 2020, pp. 2006-2012.
DOI Link 2008
BibRef

Krupinski, M.[Michal], Wawrzaszek, A.[Anna], Drzewiecki, W.[Wojciech], Jenerowicz, M.[Malgorzata], Aleksandrowicz, S.[Sebastian],
What Can Multifractal Analysis Tell Us about Hyperspectral Imagery?,
RS(12), No. 24, 2020, pp. xx-yy.
DOI Link 2012
BibRef

White, J.M.[Jacob M.], Crozier, S.[Stuart], Chandra, S.S.[Shekhar S.],
Bespoke Fractal Sampling Patterns for Discrete Fourier Space via the Kaleidoscope Transform,
SPLetters(28), 2021, pp. 2053-2057.
IEEE DOI 2111
Fractals, Magnetic resonance imaging, Discrete Fourier transforms, Chaos, Transforms, Sensors, sparse image reconstruction BibRef

Padhy, R.[Rajalaxmi], Swain, S.S.[Shashwat Sourav], Dash, S.K.[Sanjit Kumar], Mishra, J.[Jibitesh],
Classification of Low-Resolution Satellite Images Using Fractal Augmented Descriptors,
IJIG(22), No. 1 2022, pp. 2250002.
DOI Link 2202
BibRef

Lan, T.[Tian], Wu, Z.W.[Zhi-Wei], Sun, C.Z.[Chen-Zhen], Cheng, D.L.[Dong-Lin], Shi, X.[Xing], Zeng, G.J.[Guang-Jun], Zhang, H.[Hong], Peng, Q.[Qian],
Assessing the Suitability of Fractal Dimension for Measuring Graphic Complexity Change in Schematic Metro Networks,
IJGI(13), No. 2, 2024, pp. 38.
DOI Link 2402
BibRef

Wendt, H.[Herwig], Leon, L.[Lorena], Tourneret, J.Y.[Jean-Yves], Abry, P.[Patrice],
Multifractal Anomaly Detection in Images via Space-Scale Surrogates,
ICIP22(556-560)
IEEE DOI 2211
Time series analysis, Estimation, Probability, Numerical simulation, Fractals, Data models, Numerical models, log-cumulants BibRef

Nicolaou, A.[Anguelos], Christlein, V.[Vincent], Riba, E.[Edgar], Shi, J.[Jian], Vogeler, G.[Georg], Seuret, M.[Mathias],
TorMentor: Deterministic dynamic-path, data augmentations with fractals,
ECV22(2706-2710)
IEEE DOI 2210
Image segmentation, Convolution, Graphics processing units, Transforms, Diamonds, Fractals, Data models BibRef