References
- Jett S, Shrout MK, Mailhot JM, Potter BJ, Borke JL. An evaluation of the origin of trabecular bone patterns using visual and digital image analysis. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2004; 98 : 598-604. https://doi.org/10.1016/j.tripleo.2004.07.020
- Lang P, Steiger P, Faulkner K, Gluer C, Genant HK. Osteoporosis. Current techniques and recent developments in quantitative bone densitometry. Radiol Clin North Am 1991; 29 : 49-76.
- Bender IB, Seltzer S. Roentgenographic and direct observation of experimental lesions in bone: I. 1961. J Endod 2003; 29 : 702-6. https://doi.org/10.1097/00004770-200311000-00005
- Parfitt AM. Trabecular bone architecture in the pathogenesis and prevention of fracture. Am J Med 1987; 82 : 68-72.
- Genant HK, Cooper C, Poor G, Reid I, Ehrlich G, Kanis J, et al. Interim report and recommendations of the World Health Organization Task-Force for Osteoporosis. Osteoporos Int 1999; 10 : 259-64. https://doi.org/10.1007/s001980050224
- Otis LL, Hong JS, Tuncay OC. Bone structure effect on root resorption. Orthod Craniofac Res 2004; 7 : 165-77. https://doi.org/10.1111/j.1601-6343.2004.00282.x
- Heo MS, Park KS, Lee SS, Choi SC, Koak JY, Heo SJ, et al. Fractal analysis of mandibular bony healing after orthognathic surgery. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2002; 94 : 763-7. https://doi.org/10.1067/moe.2002.128972
- Yas¸ar F, Akgünlü F. The differences in panoramic mandibular indices and fractal dimension between patients with and without spinal osteoporosis. Dentomaxillofac Radiol 2006; 35 : 1-9. https://doi.org/10.1259/dmfr/97652136
- Prouteau S, Ducher G, Nanyan P, Lemineur G, Benhamou L, Courteix D. Fractal analysis of bone texture: a screening tool for stress fracture risk? Eur J Clin Invest 2004; 34 : 137-42. https://doi.org/10.1111/j.1365-2362.2004.01300.x
- Chen SK, Oviir T, Lin CH, Leu LJ, Cho BH, Hollender L. Digital imaging analysis with mathematical morphology and fractal dimension for evaluation of periapical lesions following endodontic treatment. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2005; 100 : 467-72. https://doi.org/10.1016/j.tripleo.2005.05.075
- Shrout MK, Jett S, Mailhot JM, Potter BJ, Borke JL, Hildebolt CF. Digital image analysis of cadaver mandibular trabecular bone patterns. J Periodontol 2003; 74 : 1342-7. https://doi.org/10.1902/jop.2003.74.9.1342
- Parkinson IH, Fazzalari NL. Methodological principles for fractal analysis of trabecular bone. J Microsc 2000; 198 : 134-42. https://doi.org/10.1046/j.1365-2818.2000.00684.x
- Ergun S, Saracoglu A, Guneri P, Ozpinar B. Application of fractal analysis in hyperparathyroidism. Dentomaxillofac Radiol 2009; 38 : 281-8. https://doi.org/10.1259/dmfr/24986192
- 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 : 628-35. https://doi.org/10.1016/S1079-2104(99)70097-1
- White SC, Rudolph DJ, Ma L. Influence of x-ray beam angulation and exposure on morphologic features of trabecular bone. Int J Oral Biol 1999; 24 : 17-23.
- Yasar F, Akgunlu F. Fractal dimension and lacunarity analysis of dental radiographs. Dentomaxillofac Radiol 2005; 34 : 261-7. https://doi.org/10.1259/dmfr/85149245
- Haire TJ, Hodgskinson R, Ganney PS, Langton CM. A comparison of porosity, fabric and fractal dimension as predictors of the Young's modulus of equine cancellous bone. Med Eng Phys 1998; 20 : 588-93. https://doi.org/10.1016/S1350-4533(98)00063-0
- Buckland-Wright JC, Lynch JA, Rymer J, Fogelman I. Fractal signature analysis of macroradiographs measures trabecular organization in lumbar vertebrae of postmenopausal women. Calcif Tissue Int 1994; 54 : 106-12. https://doi.org/10.1007/BF00296060
- Lynch JA, Hawkes DJ, Buckland-Wright JC. Analysis of texture in macroradiographs of osteoarthritic knees using fractal signature. Phys Med Biol 1991; 36 : 709-22. https://doi.org/10.1088/0031-9155/36/6/001
- Lynch JA, Hawkes DJ, Buckland-Wright JC. A robust and accurate method for calculating fractal signature of texture in macroradiographs of osteoarthritic knees. Med Inform (Lond) 1991; 16 : 241-51. https://doi.org/10.3109/14639239109012130
- Fazzalari NL, Parkinson IH. Fractal properties of cancellous bone of the iliac crest in vertebral crush fracture. Bone 1998; 23 : 53-7. https://doi.org/10.1016/S8756-3282(98)00063-5
- Haidekker MA, Andresen R, Evertsz CJ, Banzer D, Peitgen HO. Assessing the degree of osteoporosis in the axial skeleton using the dependence of the fractal dimension on the grey level threshold. Br J Radiol 1997; 70 : 586-93. https://doi.org/10.1259/bjr.70.834.9227251
- Dey P, Rajesh L. Fractal dimension in endometrial carcinoma. Anal Quant Cytol Histol 2004; 26 : 113-6.
- Jolley L, Majumdar S, Kapila S. Technical factors in fractal analysis of periapical radiographs. Dentomaxillofac Radiol 2006; 35 : 393-7. https://doi.org/10.1259/dmfr/30969642
- Demirbas AK, Ergun S, Guneri P, Aktener OP, Boyacio˘glu H. Mandibular bone changes in sickle cell anemia: fractal analysis. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2008; 106 : e41-8. https://doi.org/10.1016/j.tripleo.2008.03.007
- Shrout MK, Roberson B, Potter BJ, Mailhot JM, Hildebolt CF. A comparison of 2 patient populations using fractal analysis. J Periodontol 1998; 69 : 9-13. https://doi.org/10.1902/jop.1998.69.1.9
- Chappard C, Brunet-Imbault B, Lemineur G, Giraudeau B, Basillais A, Harba R, et al. Anisotropy changes in post-menopausal osteoporosis: characterization by a new index applied to trabecular bone radiographic images. Osteoporos Int 2005; 16 : 1193-202. https://doi.org/10.1007/s00198-004-1829-5
- Southard TE, Southard KA, Lee A. Alveolar process fractal dimension and postcranial bone density. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2001; 91 : 486-91. https://doi.org/10.1067/moe.2001.112598
- Ruttimann UE, Webber RL, Hazelrig JB. Fractal dimension from radiographs of peridental alveolar bone. A possible diagnostic indicator of osteoporosis. Oral Surg Oral Med Oral Pathol 1992; 74 : 98-110. https://doi.org/10.1016/0030-4220(92)90222-C
- Southard TE, Southard KA, Jakobsen JR, Hillis SL, Najim CA. Fractal dimension in radiographic analysis of alveolar process bone. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 1996; 82 : 569-76. https://doi.org/10.1016/S1079-2104(96)80205-8
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