*Mandelbrot, B.B.*,

**The Fractal Geometry of Nature**,

San Francisco:
*Freeman*1968.
*Fractals*. The basic
BibRef
**6800**
*Book*on fractals.
BibRef

*Mandelbrot, B.B.*,

**Fractals: Form, Chance, and Dimension**,

San Francisco:
*Freeman*1977.
*Fractals*. The basic
BibRef
**7700**
*Book*on 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.*,
*Yamamoto, K.*,
*Funakubo, N.*,

**Fractal-Based Analysis of 3D Natural Surface Shapes and
Their Application to Terrain Modeling**,

*CVGIP(46)*, No. 3, June 1989, pp. 284-302.

WWW Link.
BibRef
**8906**

*Heijmans, H.J.A.M.*,
*Toet, A.*,

**Morphological Sampling**,

*CVGIP(54)*, No. 3, November 1991, pp. 384-400.

WWW Link.
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.*,
*Lorch, J.R.*,
*Dubes, R.C.*,

**Can the Fractal Dimension of Images Be Measured**,

*PR(27)*, No. 3, March 1994, pp. 339-349.

WWW Link.
BibRef
**9403**

*Bell, S.B.M.*,

**Fractals: A Fast, Accurate and Illuminating Algorithm**,

*IVC(13)*, No. 4, May 1995, pp. 253-257.

WWW Link.
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.

WWW Link.
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.

WWW Link.
**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.

WWW Link.
**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.

WWW Link.
**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.

WWW Link.
**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.

WWW Link.
**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.

WWW Link.
**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

IEEE DOI

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 .

Last update:Jul 15, 2017 at 20:56:55