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., and 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., and 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.
WWW Version. 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 Link 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.
WWW Version. 9708
BibRef

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 Link 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 Link 0105
BibRef

Brochard, J.[Jacques], Khoudeir, M.[Majdi], Augereau, B.[Bertrand],
Invariant feature extraction for 3D texture analysis using the autocorrelation function,
PRL(22), No. 6-7, May 2001, pp. 759-768.
HTML Version. 0105
BibRef

Brochard, J.[Jacques], Khoudeir, M.[Majdi],
Estimation of movement parameters of 3D textured surfaces using the autocorrelation function,
PRL(24), No. 12, August 2003, pp. 2031-2045.
WWW Version. 0304
BibRef

Brochard, J.[Jacques], Khoudeir, M.[Majdi],
Histogram Characterization of Colored textures Using One-Dimensional Moments and Chromaticity Diagram,
VI02(428).
PDF Version. 0208
BibRef

Bringier, B.[Benjamin], Helbert, D.[David], Khoudeir, M.[Majdi],
Photometric reconstruction of a dynamic textured surface from just one color image acquisition,
JOSA-A(25), No. 3, March 2008, pp. 566-574.
WWW Version. 0804
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.
HTML Version. 0105
BibRef
Earlier:
Extraction of Fractal Feature for Pattern Recognition,
ICPR00(Vol II: 527-530).
IEEE DOI Link
HTML Version. 0009
BibRef

Tao, Y.[Yu], Ioerger, T.R., Sacchettini, J.C.,
Extracting fractal features for analyzing protein structure,
ICPR02(II: 482-485).
IEEE DOI Link 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.
WWW Version. 0202
BibRef

Tang, Y.Y.[Yuan Y.], Tao, Y.[Yu], Lam, E.C.M.,
The application of fractal analysis to feature extraction,
ICIP99(II:875-879).
IEEE Abstract. IEEE Top Reference. BibRef 9900

Turiel, A.[Antonio],
Relevance of multifractal textures in static images,
ELCVIA(1), No. 1, 2002, pp. 35-49.
WWW Version. 0304
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 Link 0412
Based on shape as projected on the screen. In Fractal processing. BibRef

Sun, W.[Wanxiao],
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 Version. 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 Link 0706
BibRef

Campisi, P., Maiorana, E., Neri, A.,
Video Textures Fractal Modeling,
SPLetters(14), No. 6, June 2007, pp. 405-408.
IEEE DOI Link 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 Link 0903
BibRef
Earlier:
A Projective Invariant for Textures,
CVPR06(II: 1932-1939).
IEEE DOI Link 0606
Multifractal spectrum to be invariant to projections. 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 Link 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.
WWW Version. 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 Link
WWW Version. 0907
BibRef
Earlier: A1, A3, A2:
A New Box-Counting Method for Estimation of Image Fractal Dimension,
ICIP06(3029-3032). 0610

IEEE DOI Link 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 Link 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 Link
WWW Version. 0911
Fractal image compression; Block coding; PIFS; Spatial correlation; Hybrid genetic algorithm; Simulated annealing; Neighborhood; Dyadic mutation operator 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 Link 0909
BibRef

Ouahabi, A.[Abdeldjalil], Jaffard, S.[Stephane], Aouit, D.A.[Djedjiga Ait],
Wavelet based Multifractal Analysis in Fractography,
IPTA08(1-8).
IEEE DOI Link 0811
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 Link 0807
BibRef

Koenig, E.[Emilie], Chainais, P.[Pierre],
Multifractal Analysis on the Sphere,
ICISP08(613-621).
Springer DOI Link 0807
BibRef

Backes, A.R.[André R.], Bruno, O.M.[Odemir M.],
Plant Leaf Identification Using Multi-scale Fractal Dimension,
CIAP09(143-150).
Springer DOI Link 0909
BibRef
Earlier:
A New Approach to Estimate Fractal Dimension of Texture Images,
ICISP08(136-143).
Springer DOI Link 0807
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 Link 0611
Texture characterization based on scan pattern. BibRef

Dolez, B.[Benoit], Vincent, N.[Nicole],
Sample Selection in Textured Images,
ICIP07(II: 221-224).
IEEE DOI Link 0709
Texture learning based on fractals. BibRef

Varma, M.[Manik], Garg, R.[Rahul],
Locally Invariant Fractal Features for Statistical Texture Classification,
ICCV07(1-8).
IEEE DOI Link 0710
BibRef

Cao, G.[Guitao], Shi, P.F.[Peng-Fei], Hu, B.[Bing],
Texture Classification Based on the Fractal Performance of the Moment Feature Images,
ICIAR05(762-769).
Springer DOI Link 0509
BibRef

Grazzini, J., Turiel, A., Yahia, H.,
Presegmentation of High-Resolution Satellite Images with a Multifractal Reconstruction Scheme Based on an Entropy Criterium,
ICIP05(I: 649-652).
IEEE DOI Link 0512
BibRef

Pi, M.H.[Ming Hong], Basu, A., Mandal, M.K., Li, H.[Hua],
A comparison of non-orthogonal and orthogonal fractal decoding,
ICIP04(I: 505-508).
IEEE DOI Link 0505
BibRef

Zhang, P., Bui, T.D., Suen, C.Y.,
Recognition of similar objects using 2-D wavelet-fractal feature extraction,
ICPR02(II: 316-319).
IEEE DOI Link 0211
BibRef

Valdés, J.J.[Julio J.], Molina, L.C.[Luis C.], Espinosa, S.[Sergio],
Behavior Analysis of Fractal Features for Texture Description in Digital Images: an Experimental Study,
ICPR00(Vol III: 905-908).
IEEE DOI Link 0009
BibRef

Deguy, S., Debain, C., Benassi, A.,
Classification of Texture Images using Multi-scale Statistical Estimators of Fractal Parameters,
BMVC00(xx-yy).
PDF Version. 0009
BibRef

Anh, V.V., Maeda, J., Tieng, Q.M., Tsui, H.T.,
Multifractal Texture Analysis and Classification,
ICIP99(IV:445-449).
IEEE Abstract. IEEE Top Reference. BibRef 9900

Anh, V.V.[Vo V.], Maeda, J.[Junji], Ishizaka, T.[Tohru], Suzuki, Y.[Yukinori], Tieng, Q.M.[Quang M.],
Two-dimensional fractal segmentation of natural images,
CIAP97(I: 287-294).
WWW Version. 9709
BibRef

Betti, A., Barni, M., Mecocci, A.,
Using a wavelet-based fractal feature to improve texture discrimination on SAR images,
ICIP97(I: 251-254).
IEEE DOI Link 9710
BibRef

Fioravanti, S.[Stefano], Giusto, D.D.[Daniele D.],
Texture recognition by the q-th order fractal analysis,
CAIP93(283-290).
Springer DOI Link 9309
BibRef

Boulecane, H., Vincent, N., Ruffier, M., Emptoz, H.,
Control of composite material strucrure by fractal methods,
CAIP93(726-731).
Springer DOI Link 9309
BibRef

Levy Vehel, J., Mignot, P., Berroir, J.P.,
Multifractals, texture, and image analysis,
CVPR92(661-664).
IEEE Abstract. IEEE Top Reference. 0403
BibRef

Levy Vehel, J.,
Fractal probability functions-an application to image analysis,
CVPR91(378-383).
IEEE Abstract. IEEE Top Reference. 0403
BibRef

Albregtsen, F., Nielsen, B., Yogesan, K.,
Fractal dimension, only a fraction of the truth?,
ICPR92(III:733-736).
IEEE DOI Link 9208
BibRef

Chapter on 2-D Feature Analysis, Extraction and Representations, Shape, Skeletons, Texture continues in
Autoregressive Texture Models .


Last update:Nov 16, 2009 at 19:35:14