Kato CN, Barra SG, Tavares NP, Amaral TM, Brasileiro CB, Mesquita RA, et al. Use of fractal analysis in dental images: a systematic review. Dentomaxillofac Radiol. 2020;49(2):20180457. https://doi.org/10.1259/dmfr.20180457.

Article  PubMed  PubMed Central  Google Scholar 

Kisan S, Mishra S, Rout SB. Fractal dimension in medical imaging: a review. IRJET. 2017;4(5):1102–6.

Google Scholar 

Nandal S, Ghalaut P, Shekhawat H. A radiological evaluation of marginal bone around dental implants: An in-vivo study. Natl J Maxillofac Surg. 2014;5(2):126–37.

Article  PubMed  PubMed Central  Google Scholar 

Lo Giudice R, Nicita F, Puleio F, Alibrandi A, Cervino G, Lizio AS, et al. Accuracy of periapical radiography and CBCT in endodontic evaluation. Int J Dent. 2018;16:2514243. https://doi.org/10.1155/2018/2514243.

Article  Google Scholar 

Sebring D, Kvist T, Buhlin K, Jonasson P, EndoReCo LH. Calibration improves observer reliability in detecting periapical pathology on panoramic radiographs. Acta Odontol Scand. 2021;79(7):554–61. https://doi.org/10.1080/00016357.2021.1910728.

Article  CAS  PubMed  Google Scholar 

Belgin CA, Serindere G. Fractal and radiomorphometric analysis of mandibular bone changes in patients undergoing intravenous corticosteroid therapy. Oral Surg Oral Med Oral Pathol Oral Radiol. 2020;130(1):110–5. https://doi.org/10.1016/j.oooo.2019.12.009.

Article  Google Scholar 

Demiralp KÖ, Kurşun-Çakmak EŞ, Bayrak S, Akbulut N, Atakan C, Orhan K. Trabecular structure designation using fractal analysis technique on panoramic radiographs of patients with bisphosphonate intake: a preliminary study. Oral Radiol. 2019;35:23–8. https://doi.org/10.1007/s11282-018-0321-4.

Article  PubMed  Google Scholar 

Belgin CA, Serindere G. Evaluation of trabecular bone changes in patients with periodontitis using fractal analysis: A periapical radiography study. J Periodontol. 2020;91(7):933–7. https://doi.org/10.1002/jper.19-0452.

Article  Google Scholar 

Carvalho BF, de Castro JGK, de Melo NS, de Souza Figueiredo PT, Moreira-Mesquita CR, de Paula AP, et al. Fractal dimension analysis on CBCT scans for detecting low bone mineral density in postmenopausal women. Imaging Sci Dent. 2022;52(1):53. https://doi.org/10.5624/isd.20210172.

Article  PubMed  PubMed Central  Google Scholar 

Bollen A, Taguchi A, Hujoel P, Hollender L. Fractal dimension on dental radiographs. Dentomaxillofac Radiol. 2001;30(5):270–5. https://doi.org/10.1038/sj/dmfr/4600630.

Article  CAS  PubMed  Google Scholar 

Magat G, Sener SO. Evaluation of trabecular pattern of mandible using fractal dimension, bone area fraction, and gray scale value: comparison of cone-beam computed tomography and panoramic radiography. Oral Radiol. 2019;35(1):35–42. https://doi.org/10.1007/s11282-018-0316-1.

Article  PubMed  Google Scholar 

Sharma M, Sharma D, RahiVerma D, Sharma M, Bishnoi RR. Comparing cone-beam computed tomography with panoramic radiography for the evaluation of bone quality. J Pharm Negat Results. 2022;13(10):784–94. https://doi.org/10.47750/pnr.2022.13.S10.085.

Article  Google Scholar 

VadiatiSaberi B, Khosravifard N, Nooshmand K, DaliliKajan Z, Ghaffari ME. Fractal analysis of the trabecular bone pattern in the presence/absence of metal artifact–producing objects: comparison of cone-beam computed tomography with panoramic and periapical radiography. Dentomaxillofac Radiol. 2021;50(6):20200559. https://doi.org/10.1259/dmfr.20200559.

Article  Google Scholar 

Szabelska A, Tatara MR, Krupski W. Morphological, densitometric and mechanical properties of mandible in 5-month-old Polish Merino sheep. BMC Vet Res. 2017;13(1):1–7. https://doi.org/10.1186/s12917-016-0921-3.

Article  CAS  Google Scholar 

Esen A, Dolanmaz D, Tüz HH. Biomechanical evaluation of malleable noncompression miniplates in mandibular angle fractures: an experimental study. Br J Oral Maxillofac Surg. 2012;50(5):e65-68. https://doi.org/10.1016/j.bjoms.2011.10.013.

Article  PubMed  Google Scholar 

Bayrak S, Cakmak ESK, Kamalak H. Contrast-to-noise ratios of different dental restorative materials An in-vitro cone beam computed tomography study. Eur Oral Res. 2020;54(1):36–41.

Article  CAS  PubMed  PubMed Central  Google Scholar 

Hayek E, Aoun G, Bassit R, Nasseh I. Correlating radiographic fractal analysis at implant recipient sites with primary implant stability: an in vivo preliminary study. Cureus. 2020;12(1):e6539. https://doi.org/10.7759/cureus.6539.

Article  PubMed  PubMed Central  Google Scholar 

White SC, Rudolph DJ. Alterations of the trabecular pattern of the jaws in patients with osteoporosis. Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 1999;88(5):628–35. https://doi.org/10.1016/s1079-2104(99)70097-1.

Article  CAS  PubMed  Google Scholar 

Soylu E, Coşgunarslan A, Çelebi S, Soydan D, Demirbaş AE, Demir O. Fractal analysis as a useful predictor for determining osseointegration of dental implant? A retrospective study. Int J Implant Dent. 2021;7:1–8. https://doi.org/10.1186/s40729-021-00296-0.

Article  Google Scholar 

Barngkgei I, Halboub E, Almashraqi A. Effect of bisphosphonate treatment on the jawbone: an exploratory study using periapical and panoramic radiographic evaluation. Oral Radiol. 2019;35(2):159–70. https://doi.org/10.1007/s11282-018-0358-4.

Article  PubMed  Google Scholar 

Feitosa ÉF, Vasconcellos MM, Magalhães RJP, Domingos-Vieira AC, Visconti MA, Guedes FR, et al. Bisphophonate alterations of the jaw bones in individuals with multiple myeloma. Dentomaxillofac Radiol. 2020;49(2):20190155. https://doi.org/10.1259/dmfr.20190155.

Article  PubMed  PubMed Central  Google Scholar 

Pham D, Jonasson G, Kiliaridis S. Assessment of trabecular pattern on periapical and panoramic radiographs: a pilot study. Acta Odontol Scand. 2010;68(2):91–7. https://doi.org/10.3109/00016350903468235.

Article  PubMed  Google Scholar 

Tugnait A, Clerehugh V, Hirschmann. Radiographic equipment and techniques used in general dental practice A survey of general dental practitioners in England and Wales. J Dent. 2003;31(3):197–203. https://doi.org/10.1016/s0300-5712(03)00013-7.

Article  CAS  PubMed  Google Scholar 

Baksi BG, Fidler A. Image resolution and exposure time of digital radiographs affects fractal dimension of periapical bone. Clin Oral Investig. 2012;16(5):1507–10. https://doi.org/10.1007/s00784-011-0639-3.

Article  PubMed  Google Scholar 

Ho JT, Wu J, Huang HL, Chen MY, Fuh LJ, Hsu JT. Trabecular bone structural parameters evaluated using dental cone-beam computed tomography: cellular synthetic bones. BioMed Eng OnLine. 2013;12(1):1–10. https://doi.org/10.1186/1475-925X-12-115.

Article  Google Scholar 

Ibrahim N, Parsa A, Hassan B, van der Stelt P, Aartman IH, Wismeijer D. The effect of scan parameters on cone beam CT trabecular bone microstructural measurements of the human mandible. Dentomaxillofac Radiol. 2013;42(10):20130206.

Article  PubMed  PubMed Central  Google Scholar 

Pauwels R, Faruangsaeng T, Charoenkarn T, Ngonphloy N, Panmekia S. Effect of exposure parameters and voxel size on bone structure analysis in CBCT. Dentomaxillofac Radiol. 2015;44(8):20150078. https://doi.org/10.1259/dmfr.20150078.

Article  CAS  PubMed  PubMed Central  Google Scholar 

Pauwels R, Araki K, Siewerdsen JH, Thongvigitmanee SS. Technical aspects of dental CBCT: state of the art. Dentomaxillofac Radiol. 2015;44(1):20140224. https://doi.org/10.1259/dmfr.20140224.

Article  CAS  PubMed  Google Scholar 

Jolley L, Majumdar S, Kapila S. Technical factors in fractal analysis of periapical radiographs. Dentomaxillofac Radiol. 2006;35(6):393–7. https://doi.org/10.1259/dmfr/30969642.

Article  CAS  PubMed  Google Scholar 

Amuk M, Sarıbal GŞ, Ersu N, Yılmaz S. The effects of technical factors on the fractal dimension in different dental radiographic images. Eur Oral Res. 2023;57(2):68–74. https://doi.org/10.26650/eor.2023984422.

Article  PubMed  PubMed Central  Google Scholar