A robust and accurate algorithm for estimating the complexity of the cortical surface

Journal of Neuroscience Methods

Volumn 172, Issue 1, 2008, Pages 122-130

  Jiang, Jiefeng ^a   Zhu, Wanlin ^b   Shi, Feng ^a   Zhang, Yuanchao ^b   Lin, Lei ^b   Jiang, Tianzi ^a  

^a INSTITUTE OF AUTOMATION   (China)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Anatomic MRI; Box counting; Cortical complexity; Fractal dimension; Reconstructed cortical surface

Indexed keywords

ACCURACY; ADULT; ALGORITHM; ARTICLE; BRAIN CORTEX; FEMALE; FRACTAL ANALYSIS; HUMAN; HUMAN EXPERIMENT; MALE; NORMAL HUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; PRIORITY JOURNAL; VALIDATION STUDY;

ADULT; ALGORITHMS; ARTIFICIAL INTELLIGENCE; BRAIN MAPPING; CEREBRAL CORTEX; FEMALE; FUNCTIONAL LATERALITY; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; MALE; PATTERN RECOGNITION, AUTOMATED;

EID: 44449126530     PISSN: 01650270     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jneumeth.2008.04.018     Document Type: Article

References (35)

1. Bullmore E., Brammer M., Harvey I., Persaud R., Murray R., and Ron M. Fractal analysis of the boundary between white matter and cerebral cortex in magnetic resonance images: a controlled study of schizophrenic and manic depressive patients. Psychol Med 24 (1994) 771-781
2. Cook M.J., Free S.L., Manford M.R., Fish D.R., Shorvon S.D., and Stevens J.M. Fractal description of cerebral cortical patterns in frontal lobe epilepsy. Eur Neurol 35 (1995) 327-335
3. Dale A.M., Fischl B., and Sereno M.I. Cortical surface-based analysis I: segmentation and surface reconstruction. Neuroimage 9 (1999) 179-194
4. Desikan R.S., Segonne F., Fischl B., Quinn B.T., Dickerson B.C., Blacker D., et al. An automated labeling system for subdividing the human cerebral cortex on MRI scans into gyral based regions of interest. Neuroimage 31 (2006) 968-980
5. do Carmo M.P. Differential geometry of curves and surfaces (1976), Prentice Hall, NJ
6. Esteban F.J., Sepulcre J., de Mendizabal N., Goni J., Navas J., de Miras J.R., et al. Fractal dimension and white matter changes in multiple sclerosis. Neuroimage 36 (2007) 543-549
7. Fischl B., Sereno M.I., and Dale A.M. Cortical surface-based analysis. II: inflation, flattening, and a surface-based coordinate system. Neuroimage 9 (1999) 195-207
8. Free S.L., Sisodiya S.M., Cook M.J., Fish D.R., and Shorvon S.D. Three-dimensional fractal analysis of the white matter surface from magnetic resonance images of the human brain. Cereb Cortex 6 (1996) 830-836
9. Gangepain J., and Roques-Carmes C. Fractal approach to two dimensional and three dimensional surface roughness. Wear 109 (1986) 119-126
10. Ha T., Yoon U., Lee K., Shin Y., Lee J., Kim I., et al. Fractal dimension of cerebral cortical surface in schizophrenia and obsessive-compulsive disorder. Neurosci Lett 384 (2005) 172-176
11. Han X., Pham D.L., Tosun D., Rettmann M.E., Xu C., and Prince J.L. CRUISE: cortical reconstruction using implicit surface evolution. Neuroimage 23 (2004) 997-1012
12. Im K., Lee J., Yoon U., Shin Y., Hong S., Kim I., et al. Fractal dimension in human cortical surface: multiple regression analysis with cortical thickness, sulcal depth, and folding area. Hum Brain Mapp 27 (2006) 994-1003
13. Kedzia A., Rybaczuk M., and Dymecki J. Fractal estimation of the senile brain atrophy. Folia Neuropathol 35 (1997) 237-240
14. Kim J., Singh V., Lee J., Lerch J., Ad-Dab'bagh Y., MacDonald D., et al. Automated 3-D extraction and evaluation of the inner and outer cortical surfaces using a Laplacian map and partial volume effect classification. Neuroimage 27 (2005) 210-221
15. Kiselev V.G., Hahn K.R., and Auer D.P. Is the brain cortex a fractal?. Neuroimage 20 (2003) 1765-1774
16. Lee J., Yoon U., Kim J., Kim I., Lee D., Kwon J., et al. Analysis of the hemispheric asymmetry using fractal dimension of a skeletonized cerebral surface. IEEE Trans Biomed Eng 51 (2004) 1494-1498
17. Li X., Jiang J., Zhu W., Yu C., Sui M., Wang Y., and Jiang T. Asymmetry of prefrontal cortical convolution complexity in males with attention-deficit/hyperactivity disorder using fractal information dimension. Brain Dev 29 (2007) 649-655
18. Liebovitch L.S., and Toth T.I. A fast algorithm to determine fractal dimensions by box counting. Phys Lett A 141 (1989) 386-390
19. Liu J., Zhang L., and Yue G. Fractal dimension in human cerebellum measured by magnetic resonance imaging. Biophys J 85 (2003) 4041-4046
20. Luders E., Narr K.L., Thompson P.M., Rex D.E., Jancke L., Steinmetz H., et al. Gender differences in cortical complexity. Nat Neurosci 7 (2004) 799-800
21. Luders E., Thompson P.M., Narr K.L., Toga A.W., Jancke L., and Gaser C. A curvature-based approach to estimate local gyrification on the cortical surface. Neuroimage 29 (2006) 1224-1230
22. MacDonald D., Kabani N., Avis D., and Evans A.C. Automated 3-D extraction of inner and outer surfaces of cerebral cortex from MRI. Neuroimage 12 (2000) 340-356
23. Mangin J.F., Rivière D., Cachia A., Duchesnay E., Cointepas Y., Papadopoulos-Orfanos D., et al. A framework to study the cortical folding patterns. Neuroimage 23 (2004) S129-S138
24. Mandlebrot B.B. The fractal geometry of nature (1982), Freeman, New York
25. Narr K., Thompson P., Sharma T., Moussai J., Zoumalan C., Rayman J., et al. Three-dimensional mapping of gyral shape and cortical surface asymmetries in schizophrenia: gender effects. Am J Psychiatry 158 (2001) 244-255
26. Narr K.L., Bilder R.M., Kim S., Thompson P.M., Szeszko P., Robinson D., et al. Abnormal gyral complexity in first-episode schizophrenia. Biol Psychiatry 55 (2004) 859-867
27. Parent R. Computer animation: algorithms and techniques (2002), Morgan Kaufmann
28. Sarraille J.J., and Myers L.S. FD3: a program for measuring fractal dimension. Educ Psychol Meas 54 (1994) 94-97
29. Takahashi T., Murata T., Omori M., Kosaka H., Takahashi K., Yonekura Y., et al. Quantitative evaluation of age-related white matter microstructural changes on MRI by multifractal analysis. J Neurol Sci 225 (2004) 33-37
30. Thompson P.M., Lee A.D., Dutton R.A., Geaga J.A., Hayashi K.M., Eckert M.A., et al. Abnormal cortical complexity and thickness profiles mapped in Williams syndrome. J Neurosci 25 (2005) 4146-4158
31. Thompson P.M., Schwartz C., Lin R., Khan A.A., and Toga A.W. Three-dimensional statistical analysis of sulcal variability in the human brain. J Neurosci 16 (1996) 4261-4274
32. Xu M., Thompson P.M., and Toga A.W. Adaptive reproducing kernel particle method for extraction of the cortical surface. IEEE Trans Med Imaging 25 (2006) 755-767
33. Zhang L., Dean D., Liu J.Z., Sahgal V., Wang X., and Yue G.H. Quantifying degeneration of white matter in normal aging using fractal dimension. Neurobiology of aging 28 (2007) 1543-1555
34. Zhang L., Liu J., Dean D., Sahgal V., and Yue G. A three-dimensional fractal analysis method for quantifying white matter structure in human brain. J Neurosci Methods 150 (2005) 242-253
35. Zilles K., Armstrong E., Schleicher A., and Kretschmann H.J. The human pattern of gyrification in the cerebral cortex. Anat Embryol (Berl) 179 (1988) 173-179