Fractal dimension (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Fractal dimension" in English language version.

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archive.org

Falconer, Kenneth (2003). Fractal Geometry. Wiley. p. 308. ISBN 978-0-470-84862-3.
Sagan, Hans (1994). Space-Filling Curves. Springer-Verlag. p. 156. ISBN 0-387-94265-3.
Harte, David (2001). Multifractals. Chapman & Hall. pp. 3–4. ISBN 978-1-58488-154-4.
Albers; Alexanderson (2008). "Benoit Mandelbrot: In his own words". Mathematical people : profiles and interviews. AK Peters. p. 214. ISBN 978-1-56881-340-0.
Gordon, Nigel (2000). Introducing fractal geometry. Duxford: Icon. p. 71. ISBN 978-1-84046-123-7.

arxiv.org

Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Li, N. Z.; Britz, T. (2024). "On the scale-freeness of random colored substitution networks". Proceedings of the American Mathematical Society. 152 (4): 1377–1389. arXiv:2109.14463. doi:10.1090/proc/16604.
Caicedo-Ortiz, H. E.; Santiago-Cortes, E.; López-Bonilla, J.; Castañeda4, H. O. (2015). "Fractal dimension and turbulence in Giant HII Regions". Journal of Physics: Conference Series. 582 (1): 1–5. arXiv:1501.04911. Bibcode:2015JPhCS.582a2049C. doi:10.1088/1742-6596/582/1/012049.{{cite journal}}: CS1 maint: numeric names: authors list (link)
Roberts, A.; Cronin, A. (1996). "Unbiased estimation of multi-fractal dimensions of finite data sets". Physica A: Statistical Mechanics and Its Applications. 233 (3–4): 867–878. arXiv:chao-dyn/9601019. Bibcode:1996PhyA..233..867R. doi:10.1016/S0378-4371(96)00165-3. S2CID 14388392.

books.google.com

Benoit B. Mandelbrot (1983). The fractal geometry of nature. Macmillan. ISBN 978-0-7167-1186-5. Retrieved 1 February 2012.
Edgar, Gerald (2007). Measure, Topology, and Fractal Geometry. Springer. p. 7. ISBN 978-0-387-74749-1.
Losa, Gabriele A.; Nonnenmacher, Theo F., eds. (2005). Fractals in biology and medicine. Springer. ISBN 978-3-7643-7172-2. Retrieved 1 February 2012.

doi.org

Mandelbrot, B. (1967). "How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension". Science. 156 (3775): 636–8. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on 2021-10-19. Retrieved 2020-11-12.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Popescu, D. P.; Flueraru, C.; Mao, Y.; Chang, S.; Sowa, M. G. (2010). "Signal attenuation and box-counting fractal analysis of optical coherence tomography images of arterial tissue". Biomedical Optics Express. 1 (1): 268–277. doi:10.1364/boe.1.000268. PMC 3005165. PMID 21258464.
King, R. D.; George, A. T.; Jeon, T.; Hynan, L. S.; Youn, T. S.; Kennedy, D. N.; Dickerson, B.; the Alzheimer's Disease Neuroimaging Initiative (2009). "Characterization of Atrophic Changes in the Cerebral Cortex Using Fractal Dimensional Analysis". Brain Imaging and Behavior. 3 (2): 154–166. doi:10.1007/s11682-008-9057-9. PMC 2927230. PMID 20740072.
Sharifi-Viand, A.; Mahjani, M. G.; Jafarian, M. (2012). "Investigation of anomalous diffusion and multifractal dimensions in polypyrrole film". Journal of Electroanalytical Chemistry. 671: 51–57. doi:10.1016/j.jelechem.2012.02.014.
Tan, Can Ozan; Cohen, Michael A.; Eckberg, Dwain L.; Taylor, J. Andrew (2009). "Fractal properties of human heart period variability: Physiological and methodological implications". The Journal of Physiology. 587 (15): 3929–41. doi:10.1113/jphysiol.2009.169219. PMC 2746620. PMID 19528254.
Pfeifer, Peter (1988), "Fractals in Surface Science: Scattering and Thermodynamics of Adsorbed Films", in Vanselow, Ralf; Howe, Russell (eds.), Chemistry and Physics of Solid Surfaces VII, Springer Series in Surface Sciences, vol. 10, Springer Berlin Heidelberg, pp. 283–305, doi:10.1007/978-3-642-73902-6_10, ISBN 9783642739040
Milanese, Enrico; Brink, Tobias; Aghababaei, Ramin; Molinari, Jean-François (December 2019). "Emergence of self-affine surfaces during adhesive wear". Nature Communications. 10 (1): 1116. Bibcode:2019NatCo..10.1116M. doi:10.1038/s41467-019-09127-8. ISSN 2041-1723. PMC 6408517. PMID 30850605.
Chongpu, Zhai; Dorian, Hanaor; Gwénaëlle, Proust; Yixiang, Gan (2017). "Stress-Dependent Electrical Contact Resistance at Fractal Rough Surfaces". Journal of Engineering Mechanics. 143 (3): B4015001. doi:10.1061/(ASCE)EM.1943-7889.0000967.
Kalvani, Payam Rajabi; Jahangiri, Ali Reza; Shapouri, Samaneh; Sari, Amirhossein; Jalili, Yousef Seyed (August 2019). "Multimode AFM analysis of aluminum-doped zinc oxide thin films sputtered under various substrate temperatures for optoelectronic applications". Superlattices and Microstructures. 132: 106173. doi:10.1016/j.spmi.2019.106173. S2CID 198468676.
Higuchi, T. (1988). "Approach to an irregular time-series on the basis of the fractal theory". Physica D. 31 (2): 277–283. Bibcode:1988PhyD...31..277H. doi:10.1016/0167-2789(88)90081-4.
Jelinek, A.; Jelinek, H. F.; Leandro, J. J.; Soares, J. V.; Cesar Jr, R. M.; Luckie, A. (2008). "Automated detection of proliferative retinopathy in clinical practice". Clinical Ophthalmology. 2 (1): 109–122. doi:10.2147/OPTH.S1579. PMC 2698675. PMID 19668394.
Li, N. Z.; Britz, T. (2024). "On the scale-freeness of random colored substitution networks". Proceedings of the American Mathematical Society. 152 (4): 1377–1389. arXiv:2109.14463. doi:10.1090/proc/16604.
Caicedo-Ortiz, H. E.; Santiago-Cortes, E.; López-Bonilla, J.; Castañeda4, H. O. (2015). "Fractal dimension and turbulence in Giant HII Regions". Journal of Physics: Conference Series. 582 (1): 1–5. arXiv:1501.04911. Bibcode:2015JPhCS.582a2049C. doi:10.1088/1742-6596/582/1/012049.{{cite journal}}: CS1 maint: numeric names: authors list (link)
Burns, T.; Rajan, R. (2019). "A Mathematical Approach to Correlating Objective Spectro-Temporal Features of Non-linguistic Sounds With Their Subjective Perceptions in Humans". Frontiers in Neuroscience. 13: 794. doi:10.3389/fnins.2019.00794. PMC 6685481. PMID 31417350.
Maragos, P.; Potamianos, A. (1999). "Fractal dimensions of speech sounds: Computation and application to automatic speech recognition". The Journal of the Acoustical Society of America. 105 (3): 1925–32. Bibcode:1999ASAJ..105.1925M. doi:10.1121/1.426738. PMID 10089613.
Avşar, Elif (2020-09-01). "Contribution of fractal dimension theory into the uniaxial compressive strength prediction of a volcanic welded bimrock". Bulletin of Engineering Geology and the Environment. 79 (7): 3605–3619. Bibcode:2020BuEGE..79.3605A. doi:10.1007/s10064-020-01778-y. ISSN 1435-9537. S2CID 214648440.
Cheng, Qiuming (1997). "Multifractal Modeling and Lacunarity Analysis". Mathematical Geology. 29 (7): 919–932. Bibcode:1997MatG...29..919C. doi:10.1023/A:1022355723781. S2CID 118918429.
Wildhaber, Mark L.; Lamberson, Peter J.; Galat, David L. (2003-05-01). "A Comparison of Measures of Riverbed Form for Evaluating Distributions of Benthic Fishes". North American Journal of Fisheries Management. 23 (2): 543–557. Bibcode:2003NAJFM..23..543W. doi:10.1577/1548-8675(2003)023<0543:acomor>2.0.co;2. ISSN 1548-8675.
Eftekhari, A. (2004). "Fractal Dimension of Electrochemical Reactions". Journal of the Electrochemical Society. 151 (9): E291–6. Bibcode:2004JElS..151E.291E. doi:10.1149/1.1773583.
Al-Kadi O.S, Watson D. (2008). "Texture Analysis of Aggressive and non-Aggressive Lung Tumor CE CT Images" (PDF). IEEE Transactions on Biomedical Engineering. 55 (7): 1822–30. doi:10.1109/tbme.2008.919735. PMID 18595800. S2CID 14784161. Archived from the original (PDF) on 2014-04-13. Retrieved 2014-04-10.
Pierre Soille and Jean-F. Rivest (1996). "On the Validity of Fractal Dimension Measurements in Image Analysis" (PDF). Journal of Visual Communication and Image Representation. 7 (3): 217–229. doi:10.1006/jvci.1996.0020. ISSN 1047-3203. Archived from the original (PDF) on 2011-07-20.
Tolle, C. R.; McJunkin, T. R.; Gorsich, D. J. (2003). "Suboptimal minimum cluster volume cover-based method for measuring fractal dimension". IEEE Transactions on Pattern Analysis and Machine Intelligence. 25: 32–41. CiteSeerX 10.1.1.79.6978. doi:10.1109/TPAMI.2003.1159944.
Gorsich, D. J.; Tolle, C. R.; Karlsen, R. E.; Gerhart, G. R. (1996). "Wavelet and fractal analysis of ground-vehicle images". In Unser, Michael A.; Aldroubi, Akram; Laine, Andrew F. (eds.). Wavelet Applications in Signal and Image Processing IV. Proceedings of the SPIE. Vol. 2825. pp. 109–119. Bibcode:1996SPIE.2825..109G. doi:10.1117/12.255224. S2CID 121560110.
Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging". Biophysical Journal. 85 (6): 4041–6. Bibcode:2003BpJ....85.4041L. doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14645092.
Smith, T. G.; Lange, G. D.; Marks, W. B. (1996). "Fractal methods and results in cellular morphology — dimensions, lacunarity and multifractals". Journal of Neuroscience Methods. 69 (2): 123–136. doi:10.1016/S0165-0270(96)00080-5. PMID 8946315. S2CID 20175299.
Li, J.; Du, Q.; Sun, C. (2009). "An improved box-counting method for image fractal dimension estimation". Pattern Recognition. 42 (11): 2460–9. Bibcode:2009PatRe..42.2460L. doi:10.1016/j.patcog.2009.03.001.
Burns, T.; Rajan, R. (2015). "Burns & Rajan (2015) Combining complexity measures of EEG data: multiplying measures reveal previously hidden information. F1000Research. 4:137". F1000Research. 4: 137. doi:10.12688/f1000research.6590.1. PMC 4648221. PMID 26594331.
Dubuc, B.; Quiniou, J.; Roques-Carmes, C.; Tricot, C.; Zucker, S. (1989). "Evaluating the fractal dimension of profiles". Physical Review A. 39 (3): 1500–12. Bibcode:1989PhRvA..39.1500D. doi:10.1103/PhysRevA.39.1500. PMID 9901387.
Roberts, A.; Cronin, A. (1996). "Unbiased estimation of multi-fractal dimensions of finite data sets". Physica A: Statistical Mechanics and Its Applications. 233 (3–4): 867–878. arXiv:chao-dyn/9601019. Bibcode:1996PhyA..233..867R. doi:10.1016/S0378-4371(96)00165-3. S2CID 14388392.
Shanker, O. (2006). "Random matrices, generalized zeta functions and self-similarity of zero distributions". Journal of Physics A: Mathematical and General. 39 (45): 13983–97. Bibcode:2006JPhA...3913983S. doi:10.1088/0305-4470/39/45/008.
Burns, T.; Rajan, R. (2015). "Burns & Rajan (2015) Combining complexity measures of EEG data: multiplying measures reveal previously hidden information. F1000Research. 4:137". F1000Research. 4: 137. doi:10.12688/f1000research.6590.1. PMC 4648221. PMID 26594331.
Kryven, I.; Lazzari, S.; Storti, G. (2014). "Population Balance Modeling of Aggregation and Coalescence in Colloidal Systems". Macromolecular Theory and Simulations. 23 (3): 170–181. doi:10.1002/mats.201300140.

europa.eu

mdigest.jrc.ec.europa.eu

Pierre Soille and Jean-F. Rivest (1996). "On the Validity of Fractal Dimension Measurements in Image Analysis" (PDF). Journal of Visual Communication and Image Representation. 7 (3): 217–229. doi:10.1006/jvci.1996.0020. ISSN 1047-3203. Archived from the original (PDF) on 2011-07-20.

harvard.edu

ui.adsabs.harvard.edu

Mandelbrot, B. (1967). "How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension". Science. 156 (3775): 636–8. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on 2021-10-19. Retrieved 2020-11-12.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Milanese, Enrico; Brink, Tobias; Aghababaei, Ramin; Molinari, Jean-François (December 2019). "Emergence of self-affine surfaces during adhesive wear". Nature Communications. 10 (1): 1116. Bibcode:2019NatCo..10.1116M. doi:10.1038/s41467-019-09127-8. ISSN 2041-1723. PMC 6408517. PMID 30850605.
Higuchi, T. (1988). "Approach to an irregular time-series on the basis of the fractal theory". Physica D. 31 (2): 277–283. Bibcode:1988PhyD...31..277H. doi:10.1016/0167-2789(88)90081-4.
Caicedo-Ortiz, H. E.; Santiago-Cortes, E.; López-Bonilla, J.; Castañeda4, H. O. (2015). "Fractal dimension and turbulence in Giant HII Regions". Journal of Physics: Conference Series. 582 (1): 1–5. arXiv:1501.04911. Bibcode:2015JPhCS.582a2049C. doi:10.1088/1742-6596/582/1/012049.{{cite journal}}: CS1 maint: numeric names: authors list (link)
Maragos, P.; Potamianos, A. (1999). "Fractal dimensions of speech sounds: Computation and application to automatic speech recognition". The Journal of the Acoustical Society of America. 105 (3): 1925–32. Bibcode:1999ASAJ..105.1925M. doi:10.1121/1.426738. PMID 10089613.
Avşar, Elif (2020-09-01). "Contribution of fractal dimension theory into the uniaxial compressive strength prediction of a volcanic welded bimrock". Bulletin of Engineering Geology and the Environment. 79 (7): 3605–3619. Bibcode:2020BuEGE..79.3605A. doi:10.1007/s10064-020-01778-y. ISSN 1435-9537. S2CID 214648440.
Cheng, Qiuming (1997). "Multifractal Modeling and Lacunarity Analysis". Mathematical Geology. 29 (7): 919–932. Bibcode:1997MatG...29..919C. doi:10.1023/A:1022355723781. S2CID 118918429.
Wildhaber, Mark L.; Lamberson, Peter J.; Galat, David L. (2003-05-01). "A Comparison of Measures of Riverbed Form for Evaluating Distributions of Benthic Fishes". North American Journal of Fisheries Management. 23 (2): 543–557. Bibcode:2003NAJFM..23..543W. doi:10.1577/1548-8675(2003)023<0543:acomor>2.0.co;2. ISSN 1548-8675.
Eftekhari, A. (2004). "Fractal Dimension of Electrochemical Reactions". Journal of the Electrochemical Society. 151 (9): E291–6. Bibcode:2004JElS..151E.291E. doi:10.1149/1.1773583.
Gorsich, D. J.; Tolle, C. R.; Karlsen, R. E.; Gerhart, G. R. (1996). "Wavelet and fractal analysis of ground-vehicle images". In Unser, Michael A.; Aldroubi, Akram; Laine, Andrew F. (eds.). Wavelet Applications in Signal and Image Processing IV. Proceedings of the SPIE. Vol. 2825. pp. 109–119. Bibcode:1996SPIE.2825..109G. doi:10.1117/12.255224. S2CID 121560110.
Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging". Biophysical Journal. 85 (6): 4041–6. Bibcode:2003BpJ....85.4041L. doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14645092.
Li, J.; Du, Q.; Sun, C. (2009). "An improved box-counting method for image fractal dimension estimation". Pattern Recognition. 42 (11): 2460–9. Bibcode:2009PatRe..42.2460L. doi:10.1016/j.patcog.2009.03.001.
Dubuc, B.; Quiniou, J.; Roques-Carmes, C.; Tricot, C.; Zucker, S. (1989). "Evaluating the fractal dimension of profiles". Physical Review A. 39 (3): 1500–12. Bibcode:1989PhRvA..39.1500D. doi:10.1103/PhysRevA.39.1500. PMID 9901387.
Roberts, A.; Cronin, A. (1996). "Unbiased estimation of multi-fractal dimensions of finite data sets". Physica A: Statistical Mechanics and Its Applications. 233 (3–4): 867–878. arXiv:chao-dyn/9601019. Bibcode:1996PhyA..233..867R. doi:10.1016/S0378-4371(96)00165-3. S2CID 14388392.
Shanker, O. (2006). "Random matrices, generalized zeta functions and self-similarity of zero distributions". Journal of Physics A: Mathematical and General. 39 (45): 13983–97. Bibcode:2006JPhA...3913983S. doi:10.1088/0305-4470/39/45/008.

lp.edu.ua

ena.lp.edu.ua

Mandelbrot, B. (1967). "How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension". Science. 156 (3775): 636–8. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on 2021-10-19. Retrieved 2020-11-12.

nih.gov

pubmed.ncbi.nlm.nih.gov

Mandelbrot, B. (1967). "How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension". Science. 156 (3775): 636–8. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on 2021-10-19. Retrieved 2020-11-12.
Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Popescu, D. P.; Flueraru, C.; Mao, Y.; Chang, S.; Sowa, M. G. (2010). "Signal attenuation and box-counting fractal analysis of optical coherence tomography images of arterial tissue". Biomedical Optics Express. 1 (1): 268–277. doi:10.1364/boe.1.000268. PMC 3005165. PMID 21258464.
King, R. D.; George, A. T.; Jeon, T.; Hynan, L. S.; Youn, T. S.; Kennedy, D. N.; Dickerson, B.; the Alzheimer's Disease Neuroimaging Initiative (2009). "Characterization of Atrophic Changes in the Cerebral Cortex Using Fractal Dimensional Analysis". Brain Imaging and Behavior. 3 (2): 154–166. doi:10.1007/s11682-008-9057-9. PMC 2927230. PMID 20740072.
Tan, Can Ozan; Cohen, Michael A.; Eckberg, Dwain L.; Taylor, J. Andrew (2009). "Fractal properties of human heart period variability: Physiological and methodological implications". The Journal of Physiology. 587 (15): 3929–41. doi:10.1113/jphysiol.2009.169219. PMC 2746620. PMID 19528254.
Milanese, Enrico; Brink, Tobias; Aghababaei, Ramin; Molinari, Jean-François (December 2019). "Emergence of self-affine surfaces during adhesive wear". Nature Communications. 10 (1): 1116. Bibcode:2019NatCo..10.1116M. doi:10.1038/s41467-019-09127-8. ISSN 2041-1723. PMC 6408517. PMID 30850605.
Jelinek, A.; Jelinek, H. F.; Leandro, J. J.; Soares, J. V.; Cesar Jr, R. M.; Luckie, A. (2008). "Automated detection of proliferative retinopathy in clinical practice". Clinical Ophthalmology. 2 (1): 109–122. doi:10.2147/OPTH.S1579. PMC 2698675. PMID 19668394.
Burns, T.; Rajan, R. (2019). "A Mathematical Approach to Correlating Objective Spectro-Temporal Features of Non-linguistic Sounds With Their Subjective Perceptions in Humans". Frontiers in Neuroscience. 13: 794. doi:10.3389/fnins.2019.00794. PMC 6685481. PMID 31417350.
Maragos, P.; Potamianos, A. (1999). "Fractal dimensions of speech sounds: Computation and application to automatic speech recognition". The Journal of the Acoustical Society of America. 105 (3): 1925–32. Bibcode:1999ASAJ..105.1925M. doi:10.1121/1.426738. PMID 10089613.
Landini, G.; Murray, P. I.; Misson, G. P. (1995). "Local connected fractal dimensions and lacunarity analyses of 60 degrees fluorescein angiograms". Investigative Ophthalmology & Visual Science. 36 (13): 2749–2755. PMID 7499097.
Al-Kadi O.S, Watson D. (2008). "Texture Analysis of Aggressive and non-Aggressive Lung Tumor CE CT Images" (PDF). IEEE Transactions on Biomedical Engineering. 55 (7): 1822–30. doi:10.1109/tbme.2008.919735. PMID 18595800. S2CID 14784161. Archived from the original (PDF) on 2014-04-13. Retrieved 2014-04-10.
Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging". Biophysical Journal. 85 (6): 4041–6. Bibcode:2003BpJ....85.4041L. doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14645092.
Smith, T. G.; Lange, G. D.; Marks, W. B. (1996). "Fractal methods and results in cellular morphology — dimensions, lacunarity and multifractals". Journal of Neuroscience Methods. 69 (2): 123–136. doi:10.1016/S0165-0270(96)00080-5. PMID 8946315. S2CID 20175299.
Burns, T.; Rajan, R. (2015). "Burns & Rajan (2015) Combining complexity measures of EEG data: multiplying measures reveal previously hidden information. F1000Research. 4:137". F1000Research. 4: 137. doi:10.12688/f1000research.6590.1. PMC 4648221. PMID 26594331.
Dubuc, B.; Quiniou, J.; Roques-Carmes, C.; Tricot, C.; Zucker, S. (1989). "Evaluating the fractal dimension of profiles". Physical Review A. 39 (3): 1500–12. Bibcode:1989PhRvA..39.1500D. doi:10.1103/PhysRevA.39.1500. PMID 9901387.
Burns, T.; Rajan, R. (2015). "Burns & Rajan (2015) Combining complexity measures of EEG data: multiplying measures reveal previously hidden information. F1000Research. 4:137". F1000Research. 4: 137. doi:10.12688/f1000research.6590.1. PMC 4648221. PMID 26594331.

ncbi.nlm.nih.gov

Chen, Yanguang (2011). "Modeling Fractal Structure of City-Size Distributions Using Correlation Functions". PLOS ONE. 6 (9): e24791. arXiv:1104.4682. Bibcode:2011PLoSO...624791C. doi:10.1371/journal.pone.0024791. PMC 3176775. PMID 21949753.
Popescu, D. P.; Flueraru, C.; Mao, Y.; Chang, S.; Sowa, M. G. (2010). "Signal attenuation and box-counting fractal analysis of optical coherence tomography images of arterial tissue". Biomedical Optics Express. 1 (1): 268–277. doi:10.1364/boe.1.000268. PMC 3005165. PMID 21258464.
King, R. D.; George, A. T.; Jeon, T.; Hynan, L. S.; Youn, T. S.; Kennedy, D. N.; Dickerson, B.; the Alzheimer's Disease Neuroimaging Initiative (2009). "Characterization of Atrophic Changes in the Cerebral Cortex Using Fractal Dimensional Analysis". Brain Imaging and Behavior. 3 (2): 154–166. doi:10.1007/s11682-008-9057-9. PMC 2927230. PMID 20740072.
Tan, Can Ozan; Cohen, Michael A.; Eckberg, Dwain L.; Taylor, J. Andrew (2009). "Fractal properties of human heart period variability: Physiological and methodological implications". The Journal of Physiology. 587 (15): 3929–41. doi:10.1113/jphysiol.2009.169219. PMC 2746620. PMID 19528254.
Milanese, Enrico; Brink, Tobias; Aghababaei, Ramin; Molinari, Jean-François (December 2019). "Emergence of self-affine surfaces during adhesive wear". Nature Communications. 10 (1): 1116. Bibcode:2019NatCo..10.1116M. doi:10.1038/s41467-019-09127-8. ISSN 2041-1723. PMC 6408517. PMID 30850605.
Jelinek, A.; Jelinek, H. F.; Leandro, J. J.; Soares, J. V.; Cesar Jr, R. M.; Luckie, A. (2008). "Automated detection of proliferative retinopathy in clinical practice". Clinical Ophthalmology. 2 (1): 109–122. doi:10.2147/OPTH.S1579. PMC 2698675. PMID 19668394.
Burns, T.; Rajan, R. (2019). "A Mathematical Approach to Correlating Objective Spectro-Temporal Features of Non-linguistic Sounds With Their Subjective Perceptions in Humans". Frontiers in Neuroscience. 13: 794. doi:10.3389/fnins.2019.00794. PMC 6685481. PMID 31417350.
Liu, Jing Z.; Zhang, Lu D.; Yue, Guang H. (2003). "Fractal Dimension in Human Cerebellum Measured by Magnetic Resonance Imaging". Biophysical Journal. 85 (6): 4041–6. Bibcode:2003BpJ....85.4041L. doi:10.1016/S0006-3495(03)74817-6. PMC 1303704. PMID 14645092.
Burns, T.; Rajan, R. (2015). "Burns & Rajan (2015) Combining complexity measures of EEG data: multiplying measures reveal previously hidden information. F1000Research. 4:137". F1000Research. 4: 137. doi:10.12688/f1000research.6590.1. PMC 4648221. PMID 26594331.
Burns, T.; Rajan, R. (2015). "Burns & Rajan (2015) Combining complexity measures of EEG data: multiplying measures reveal previously hidden information. F1000Research. 4:137". F1000Research. 4: 137. doi:10.12688/f1000research.6590.1. PMC 4648221. PMID 26594331.

nla.gov.au

trove.nla.gov.au

Balay-Karperien, Audrey (2004). Defining Microglial Morphology: Form, Function, and Fractal Dimension. Charles Sturt University. p. 86. Retrieved 9 July 2013.

psu.edu

citeseerx.ist.psu.edu

Tolle, C. R.; McJunkin, T. R.; Gorsich, D. J. (2003). "Suboptimal minimum cluster volume cover-based method for measuring fractal dimension". IEEE Transactions on Pattern Analysis and Machine Intelligence. 25: 32–41. CiteSeerX 10.1.1.79.6978. doi:10.1109/TPAMI.2003.1159944.

researchgate.net

Contact stiffness of multiscale surfaces, In the International Journal of Mechanical Sciences (2017), 131
Static Friction at Fractal Interfaces, Tribology International (2016), vol 93

semanticscholar.org

api.semanticscholar.org

Mandelbrot, B. (1967). "How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension". Science. 156 (3775): 636–8. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on 2021-10-19. Retrieved 2020-11-12.
Kalvani, Payam Rajabi; Jahangiri, Ali Reza; Shapouri, Samaneh; Sari, Amirhossein; Jalili, Yousef Seyed (August 2019). "Multimode AFM analysis of aluminum-doped zinc oxide thin films sputtered under various substrate temperatures for optoelectronic applications". Superlattices and Microstructures. 132: 106173. doi:10.1016/j.spmi.2019.106173. S2CID 198468676.
Avşar, Elif (2020-09-01). "Contribution of fractal dimension theory into the uniaxial compressive strength prediction of a volcanic welded bimrock". Bulletin of Engineering Geology and the Environment. 79 (7): 3605–3619. Bibcode:2020BuEGE..79.3605A. doi:10.1007/s10064-020-01778-y. ISSN 1435-9537. S2CID 214648440.
Cheng, Qiuming (1997). "Multifractal Modeling and Lacunarity Analysis". Mathematical Geology. 29 (7): 919–932. Bibcode:1997MatG...29..919C. doi:10.1023/A:1022355723781. S2CID 118918429.
Al-Kadi O.S, Watson D. (2008). "Texture Analysis of Aggressive and non-Aggressive Lung Tumor CE CT Images" (PDF). IEEE Transactions on Biomedical Engineering. 55 (7): 1822–30. doi:10.1109/tbme.2008.919735. PMID 18595800. S2CID 14784161. Archived from the original (PDF) on 2014-04-13. Retrieved 2014-04-10.
Gorsich, D. J.; Tolle, C. R.; Karlsen, R. E.; Gerhart, G. R. (1996). "Wavelet and fractal analysis of ground-vehicle images". In Unser, Michael A.; Aldroubi, Akram; Laine, Andrew F. (eds.). Wavelet Applications in Signal and Image Processing IV. Proceedings of the SPIE. Vol. 2825. pp. 109–119. Bibcode:1996SPIE.2825..109G. doi:10.1117/12.255224. S2CID 121560110.
Smith, T. G.; Lange, G. D.; Marks, W. B. (1996). "Fractal methods and results in cellular morphology — dimensions, lacunarity and multifractals". Journal of Neuroscience Methods. 69 (2): 123–136. doi:10.1016/S0165-0270(96)00080-5. PMID 8946315. S2CID 20175299.
Roberts, A.; Cronin, A. (1996). "Unbiased estimation of multi-fractal dimensions of finite data sets". Physica A: Statistical Mechanics and Its Applications. 233 (3–4): 867–878. arXiv:chao-dyn/9601019. Bibcode:1996PhyA..233..867R. doi:10.1016/S0378-4371(96)00165-3. S2CID 14388392.

st-and.ac.uk

www-groups.dcs.st-and.ac.uk

Trochet, Holly (2009). "A History of Fractal Geometry". MacTutor History of Mathematics. Archived from the original on 12 March 2012.

sussex.ac.uk

sro.sussex.ac.uk

Al-Kadi O.S, Watson D. (2008). "Texture Analysis of Aggressive and non-Aggressive Lung Tumor CE CT Images" (PDF). IEEE Transactions on Biomedical Engineering. 55 (7): 1822–30. doi:10.1109/tbme.2008.919735. PMID 18595800. S2CID 14784161. Archived from the original (PDF) on 2014-04-13. Retrieved 2014-04-10.

thinkquest.org

library.thinkquest.org

"Applications". Archived from the original on 2007-10-12. Retrieved 2007-10-21.

uniautonoma.edu.co

jci.uniautonoma.edu.co

Santiago-Cortés, E.; Martínez Ledezma, J. L. (2016). "Fractal dimension in human retinas" (PDF). Journal de Ciencia e Ingeniería. 8: 59–65. eISSN 2539-066X. ISSN 2145-2628.

uva.nl

dare.uva.nl

Kryven, I.; Lazzari, S.; Storti, G. (2014). "Population Balance Modeling of Aggregation and Coalescence in Colloidal Systems". Macromolecular Theory and Simulations. 23 (3): 170–181. doi:10.1002/mats.201300140.

web.archive.org

Mandelbrot, B. (1967). "How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension". Science. 156 (3775): 636–8. Bibcode:1967Sci...156..636M. doi:10.1126/science.156.3775.636. PMID 17837158. S2CID 15662830. Archived from the original on 2021-10-19. Retrieved 2020-11-12.
"Applications". Archived from the original on 2007-10-12. Retrieved 2007-10-21.
Trochet, Holly (2009). "A History of Fractal Geometry". MacTutor History of Mathematics. Archived from the original on 12 March 2012.
Al-Kadi O.S, Watson D. (2008). "Texture Analysis of Aggressive and non-Aggressive Lung Tumor CE CT Images" (PDF). IEEE Transactions on Biomedical Engineering. 55 (7): 1822–30. doi:10.1109/tbme.2008.919735. PMID 18595800. S2CID 14784161. Archived from the original (PDF) on 2014-04-13. Retrieved 2014-04-10.
Pierre Soille and Jean-F. Rivest (1996). "On the Validity of Fractal Dimension Measurements in Image Analysis" (PDF). Journal of Visual Communication and Image Representation. 7 (3): 217–229. doi:10.1006/jvci.1996.0020. ISSN 1047-3203. Archived from the original (PDF) on 2011-07-20.

worldcat.org

search.worldcat.org

Milanese, Enrico; Brink, Tobias; Aghababaei, Ramin; Molinari, Jean-François (December 2019). "Emergence of self-affine surfaces during adhesive wear". Nature Communications. 10 (1): 1116. Bibcode:2019NatCo..10.1116M. doi:10.1038/s41467-019-09127-8. ISSN 2041-1723. PMC 6408517. PMID 30850605.
Avşar, Elif (2020-09-01). "Contribution of fractal dimension theory into the uniaxial compressive strength prediction of a volcanic welded bimrock". Bulletin of Engineering Geology and the Environment. 79 (7): 3605–3619. Bibcode:2020BuEGE..79.3605A. doi:10.1007/s10064-020-01778-y. ISSN 1435-9537. S2CID 214648440.
Santiago-Cortés, E.; Martínez Ledezma, J. L. (2016). "Fractal dimension in human retinas" (PDF). Journal de Ciencia e Ingeniería. 8: 59–65. eISSN 2539-066X. ISSN 2145-2628.
Wildhaber, Mark L.; Lamberson, Peter J.; Galat, David L. (2003-05-01). "A Comparison of Measures of Riverbed Form for Evaluating Distributions of Benthic Fishes". North American Journal of Fisheries Management. 23 (2): 543–557. Bibcode:2003NAJFM..23..543W. doi:10.1577/1548-8675(2003)023<0543:acomor>2.0.co;2. ISSN 1548-8675.
Pierre Soille and Jean-F. Rivest (1996). "On the Validity of Fractal Dimension Measurements in Image Analysis" (PDF). Journal of Visual Communication and Image Representation. 7 (3): 217–229. doi:10.1006/jvci.1996.0020. ISSN 1047-3203. Archived from the original (PDF) on 2011-07-20.

zenodo.org

Tolle, C. R.; McJunkin, T. R.; Gorsich, D. J. (2003). "Suboptimal minimum cluster volume cover-based method for measuring fractal dimension". IEEE Transactions on Pattern Analysis and Machine Intelligence. 25: 32–41. CiteSeerX 10.1.1.79.6978. doi:10.1109/TPAMI.2003.1159944.
Gorsich, D. J.; Tolle, C. R.; Karlsen, R. E.; Gerhart, G. R. (1996). "Wavelet and fractal analysis of ground-vehicle images". In Unser, Michael A.; Aldroubi, Akram; Laine, Andrew F. (eds.). Wavelet Applications in Signal and Image Processing IV. Proceedings of the SPIE. Vol. 2825. pp. 109–119. Bibcode:1996SPIE.2825..109G. doi:10.1117/12.255224. S2CID 121560110.
Smith, T. G.; Lange, G. D.; Marks, W. B. (1996). "Fractal methods and results in cellular morphology — dimensions, lacunarity and multifractals". Journal of Neuroscience Methods. 69 (2): 123–136. doi:10.1016/S0165-0270(96)00080-5. PMID 8946315. S2CID 20175299.