Effects of bit depth on the multifractal analysis of grayscale images

Fractals

Volumn 18, Issue 1, 2010, Pages 127-138

  Zhou, H ^a,b   Perfect, E ^b   Li, B G ^a   Lu, Y Z ^a  

^a CHINA AGRICULTURAL UNIVERSITY   (China)

^b UNIVERSITY OF TENNESSEE   (United States)

Author keywords

Bit Depth; Generalized Dimensions; Grayscale Fields; Image Analysis; Method of Moments; Multifractal; Soil Thin Section

Indexed keywords

FRACTALS; IMAGE ANALYSIS; LINEAR REGRESSION; METADATA; NUMERICAL METHODS; SOILS;

BIT DEPTH; GENERALIZED DIMENSION; GRAY SCALE; GRAY-SCALE IMAGES; GRAYSCALE FIELD; IMAGE-ANALYSIS; MULTI FRACTALS; MULTIFRACTAL ANALYSIS; SOIL THIN SECTION; THIN-SECTIONS;

METHOD OF MOMENTS;

EID: 77951588509     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X10004749     Document Type: Article

References (13)

1. T. Parrinello and R. A. Vaughan, Multifractal analysis and feature extraction in satellite imagery, Int. J. Remote Sens. 23 (9) (2002) 1799-1825. (Pubitemid 34497553)
2. G. D. Tourassi, E. D. Frederick, C. E. Floyd and E. E. Coleman, Multifractal texture analysis of per-fusion lung scans as a potential diagnostic tool for acute pulmonary embolism, Comput. Biol. Med. 31 (1) (2001) 15-25.
3. A. Dathe, A. M. Tarquis and E. Perrier, Multifractal analysis of the pore-and solid-phases in binary two-dimensional images of natural porous structures, Geoderma 134 (3-4) (2006) 318-326. (Pubitemid 44164380)
4. A. N. Posadas, D. Gimenez, R. Quiroz and R. Protz, Multifractal characterization of soil pore systems, Soil Sci. Soc. Am. J. 67 (5) (2003) 1361-1369. (Pubitemid 37143569)
5. N. Bird, M. C. Diaz, A. Saa and A. M. Tarquis, Fractal and multifractal analysis of pore-scale images of soil, J. Hydrol. 322 (1-4) (2006) 211-219.
6. S. L. Mills, G. C. Lees, C. M. Liauw, R. N. Rothon and S. Lynch, Prediction of mechanical properties following the dispersion assessment of flame retar-dant filler/polymer composites based on the multi-fractal analysis of SEM images, J. Macromol. Sci. 44 (6) (2005) 1137-1151. (Pubitemid 43065304)
7. S. Balter, Fundamental properties of digital images, RadioGraphics 12 (1993) 129-141.
8. H. G. Hentschel and I. Procaccia, The infinite number of generalized dimensions of fractals and strange attractors, Physica D 8 (3) (1983) 435-444.
9. L. P. Hansen, Large sample properties of generalized method of moments estimators, Econometrica 50 (4) (1982) 1029-1054.
10. D. Veneziano, G. E. Moglen and R. L. Bras, Multi-fractal analysis: pitfalls of standard procedures and alternatives, Phys. Rev. E 52 (2) (1995) 1387-1398.
11. E. Perfect, A. M. Tarquis and N. R. Bird, Accuracy of generalized dimensions estimated from grayscale images using the method of moments, Fractals 17 (3) 351-363.
12. G. P. Patil, Maximum likelihood estimation for generalized power series distributions and its application to the truncated binomial distribution, Biometrika 49 (1962) 227-237.
13. C. P. Murphy, Thin Section Preparation of Soils and Sediments (AB Academic, Berkhampstead, 1986).