Mandelbrot, B.B.,
The Fractal Geometry of Nature,
San Francisco:
Freeman1968.
Fractals. The basic
BibRef
6800
Bookon fractals.
BibRef
Mandelbrot, B.B.,
Fractals: Form, Chance, and Dimension,
San Francisco:
Freeman1977.
Fractals. The basic
BibRef
7700
Bookon fractals.
BibRef
Musgrave, F.K., and
Mandelbrot, B.B.,
The art of fractal landscapes,
IBMRD(35), No. 4, 539, July 1991, pp. 535-536.
BibRef
9107
Stevens, R.J.,
Lehar, A.F., and
Perston, F.H.,
Manipulation and Presentation of Multidimensional Image Data
Using the Peano Scan,
PAMI(5), No. 5, September 1983, pp. 520-526.
BibRef
8309
Kube, P.R.[Paul R.], and
Pentland, A.P.[Alex P.],
On the Imaging of Fractal Surfaces,
PAMI(10), No. 5, September 1988, pp. 704-707.
IEEE DOI Relate power spectrum of a surface with that of the image.
BibRef
8809
Yokoya, N.[Naokazu],
Yamamoto, K.[Kazuhiko],
Funakubo, N.[Noboru],
Fractal-Based Analysis of 3D Natural Surface Shapes and
Their Application to Terrain Modeling,
CVGIP(46), No. 3, June 1989, pp. 284-302.
Elsevier DOI Fractional Brownian function as a model of fractals.
BibRef
8906
Heijmans, H.J.A.M.,
Toet, A.,
Morphological Sampling,
CVGIP(54), No. 3, November 1991, pp. 384-400.
Elsevier DOI Reconstruct from sampled image.
BibRef
9111
Super, B.J.,
Bovik, A.C.,
Localized Measurement of Image Fractal Dimension Using Gabor Filters,
JVCIR(2), 1991, pp. 114-128.
BibRef
9100
Jaggard, D.L., (Ed.)
Special Section on Fractals in Electrical Engineering,
PIEEE(81), No. 10, October 1993, pp. 1423-1533.
BibRef
9310
Huang, Q.[Qian],
Lorch, J.R.[Jacob R.],
Dubes, R.C.[Richard C.],
Can the Fractal Dimension of Images Be Measured,
PR(27), No. 3, March 1994, pp. 339-349.
Elsevier DOI Box counting and variation method estimates of fractal dimension.
BibRef
9403
Bell, S.B.M.[Sarah B.M.],
Fractals: A Fast, Accurate and Illuminating Algorithm,
IVC(13), No. 4, May 1995, pp. 253-257.
Elsevier DOI Iterated function system.
BibRef
9505
Krueger, W.M.,
Jost, S.D.,
Rossi, K.,
Axen, U.,
On Synthesizing Discrete Fractional Brownian-Motion with
Applications to Image-Processing,
GMIP(58), No. 4, July 1996, pp. 334-344.
9609
For Fractal Dimension estimation.
BibRef
Tang, Y.Y.,
Li, B.F.,
Ma, H.,
Liu, J.M.,
Ring-Projection-Wavelet-Fractal Signatures:
A Novel-Approach To Feature-Extraction,
CirSysSignal(45), No. 8, August 1998, pp. 1130-1134.
9809
BibRef
Tang, Y.Y.,
Li, B.F.,
Ma, H.,
Liu, J.M.,
Suen, C.,
A Novel Approach to Optical Character Recognition Based on
Ring-Projection-Wavelet-Fractal Signatures,
ICPR96(II: 325-329).
IEEE DOI
9608
(Hong Kong Baptist Univ., HK)
BibRef
Lonardi, S.[Stefano],
Sommaruga, P.[Paolo],
Fractal image approximation and orthogonal bases,
SP:IC(14), No. 5, March 1999, pp. 413-423.
Elsevier DOI Orthogonal bases.
BibRef
9903
Zeng, X.,
Koehl, L.,
Vasseur, C.,
Design and implementation of an estimator of fractal dimension using
fuzzy techniques,
PR(34), No. 1, January 2001, pp. 151-169.
Elsevier DOI
0010
BibRef
Carlin, M.[Mats],
Measuring the complexity of non-fractal shapes by a fractal method,
PRL(21), No. 11, October 2000, pp. 1013-1017.
0010
BibRef
McGunnigle, G.,
Chantler, M.J.,
Evaluating Kube and Pentland's fractal imaging model,
IP(10), No. 4, April 2001, pp. 534-542.
IEEE DOI
0104
See also On the Imaging of Fractal Surfaces.
BibRef
Lundmark, A.,
Wadströmer, N.,
Li, H.,
Hierarchical Subsampling Giving Fractal Regions,
IP(10), No. 1, January 2001, pp. 167-173.
IEEE DOI
0101
BibRef
Tolle, C.R.,
McJunkin, T.R.,
Gorsich, D.J.,
Suboptimal minimum cluster volume cover-based method for measuring
fractal dimension,
PAMI(25), No. 1, January 2003, pp. 32-41.
IEEE DOI
0301
BibRef
Marsh, R.[Ronald],
FractalNet:
A biologically inspired neural network approach to fractal geometry,
PRL(24), No. 12, August 2003, pp. 1881-1887.
Elsevier DOI
0304
BibRef
Chang, H.T.[Hsuan T.],
Arbitrary affine transformation and their composition effects for
two-dimensional fractal sets,
IVC(22), No. 13, 1 November 2004, pp. 1117-1127.
Elsevier DOI
0410
BibRef
Duh, D.J.,
Jeng, J.H.,
Chen, S.Y.,
DCT based simple classification scheme for fractal image compression,
IVC(23), No. 13, 29 November 2005, pp. 1115-1121.
Elsevier DOI
0512
BibRef
Xu, S.J.[Shu-Jian],
Weng, Y.J.[Yong-Ji],
A new approach to estimate fractal dimensions of corrosion images,
PRL(27), No. 16, December 2006, pp. 1942-1947.
Elsevier DOI
0611
Corrosion image, FD determination, Image FD, Pit diameter distribution;
Pit depth distribution, Relativity analysis
BibRef
Ozawa, K.[Kuzumasa],
Dual fractals,
IVC(26), No. 5, May 2008, pp. 622-631.
Elsevier DOI
0803
BibRef
Earlier:
Dual Fractals: Theory and Applications,
SCIA01(P-W5).
0206
Dual fractals, Dual-similarity, Hutchinson operator, Image coding;
Template matching, Secret sharing, Feature extraction
BibRef
Xiong, G.[Gang],
Wang, F.[Fang],
Yu, W.X.[Wen-Xian],
Truong, T.K.[Trieu-Kien],
Singularity-Exponent-Domain Image Feature Transform,
IP(30), 2021, pp. 8510-8525.
IEEE DOI
2110
Fractals, Feature extraction, Power measurement,
Signal to noise ratio, Transforms, Time-frequency analysis,
stochastic fractal
BibRef
Vrscay, E.R.[Edward R.],
Continuous Evolution of Fractal Transforms and Nonlocal PDE Imaging,
ICIAR06(I: 446-457).
Springer DOI
0610
BibRef
Bouridane, A.,
Alexander, A.,
Nibouche, M.,
Crookes, D.,
Application of Fractals to the Detection and Classification of
Shoeprints,
ICIP00(Vol I: 474-477).
IEEE DOI
0008
BibRef
Chu, H.T.,
Chen, C.C.,
A Fast Algorithm for Generating Fractals,
ICPR00(Vol III: 302-305).
IEEE DOI
0009
BibRef
Shen, J.,
Zhang, T.X.,
Li, J.,
New Fractal Feature with Application in Image Analysis,
SCIA99(Image Analysis).
BibRef
9900
Skarbek, W.[Wladyslaw],
On Convergence of Discrete and Selective Fractal Operators,
CAIP99(201-208).
Springer DOI
9909
BibRef
Vehel, J.L.[J. Levy],
About Lacunarity, Some Links Between Fractal and
Integral Geometry and an Application to Texture Segmentation,
ICCV90(380-384).
IEEE DOI
BibRef
9000
Feng, J.,
Lin, W.,
Chen, C.,
Fractional Box-Counting Approach to Fractal Dimension Estimation,
ICPR96(II: 854-858).
IEEE DOI
9608
(Northwestern Univ., USA)
BibRef
Chernov, V.,
Tauber Theorems for Dirichlet Series and Fractals,
ICPR96(II: 656-661).
IEEE DOI
9608
(Image Processing Systems Inst., RUS)
BibRef
Nikiel, S.S.,
Noise suppression based on the fractal dimension estimates,
ICIP96(II: 193-196).
IEEE DOI
9610
BibRef
Swarnakar, V.,
Acharya, R.S.,
Fractal dimension estimation using continuous alternating sequential
filter pyramid,
ICIP95(III: 652-655).
IEEE DOI
9510
BibRef
Talukdar, D.,
Acharya, R.,
Estimation of fractal dimension using alternating sequential filters,
ICIP95(I: 231-234).
IEEE DOI
9510
BibRef
Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Fractal Based Coding and Compression, Fractal Coding, Fractal Compression .