References : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [1]
Mandelbrot BB. The fractal geometry of nature: WH freeman New York; 1983.
Sánchez I, Uzcátegui G. Fractals in dentistry. Journal of dentistry. 2011;39(4):273–92.
Boutroy S, Bouxsein ML, Munoz F, Delmas PD. In vivo assessment of trabecular bone microarchitecture by high-resolution peripheral quantitative computed tomography. The Journal of Clinical Endocrinology & Metabolism. 2005;90(12):6508–15.
Eblen-Zajjur A, Salas R, Vanegas H. Fractal analysis of spinal dorsal horn neuron discharges by means of sequential fractal dimension D. Computers in biology and medicine. 1996;26(1):87–95.
Weibel ER. Fractal geometry: a design principle for living organisms. American Journal of Physiology-Lung Cellular and Molecular Physiology. 1991;261(6):L361–L9.
Zamir M. On fractal properties of arterial trees. Journal of theoretical biology. 1999;197(4):517–26.
Huh K-H, Yi W-J, Jeon I-S, Heo M-S, Lee S-S, Choi S-C, et al. Relationship between two-dimensional and three-dimensional bone architecture in predicting the mechanical strength of the pig mandible. Oral Surgery, Oral Medicine, Oral Pathology, Oral Radiology, and Endodontology. 2006;101(3):363–73.
Ruttimann UE, Webber RL, Hazelrig JB. Fractal dimension from radiographs of peridental alveolar bone: a possible diagnostic indicator of osteoporosis. Oral surgery, oral medicine, oral pathology. 1992;74(1):98–110.
Southard TE, Southard KA, Jakobsen JR, Hillis SL, Najim CA. Fractal dimension in radiographic analysis of alveolar process bone. Oral Surgery, Oral Medicine, Oral Pathology, Oral Radiology, and Endodontology. 1996;82(5):569–76.
Updike SX, Nowzari H. Fractal analysis of dental radiographs to detect periodontitis-induced trabecular changes. Journal of periodontal research. 2008;43(6):658–64.
Coşgunarslan A, Canger EM, Çabuk DS, Kış HC. The evaluation of the mandibular bone structure changes related to lactation with fractal analysis. Oral radiology. 2019:1–10.
dos Santos CL, Jacobs R, Quirynen M, Huang Y, Naert I, Duyck J. Peri-implant bone tissue assessment by comparing the outcome of intra-oral radiograph and cone beam computed tomography analyses to the histological standard. Clinical oral implants research. 2011;22(5):492–9.
Ilhan B, Güneri P, Saraçoglu A, Koca H, Boyacioglu H. A comparison of fractal dimension values of peri-implant bone and healthy contralateral side using panoramic radiographs. Journal of Oral and Maxillofacial Radiology. 2015;3(1):1.
Serial posts:
- Abstract : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Backgrounds : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [1]
- Backgrounds : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [2]
- Materials and methods : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [1]
- Materials and methods : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [2]
- Results : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Discussion : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [1]
- Discussion : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [2]
- Conclusion : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Availability of data and materials : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Abbreviations : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- References : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [1]
- References : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [2]
- References : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis [3]
- Acknowledgements : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Funding : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Author information : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Ethics declarations : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Additional information : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Rights and permissions : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- About this article : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Table 1 Distribution and description of FD1 and FD2 values, crown-implant ratios, and sex difference between the implant failure and success groups : Evaluation of the peri-implant bone trabecular
- Table 2 Mean fractal dimension (FD) values before and after implant insertion : Evaluation of the peri-implant bone trabecular microstructure changes in short implants with fractal analysis
- Fig. 1. Fractal dimension values measured from the same area of interest on each panoramic radiograph over five different time intervals are shown in the figure. FD0, fractal dimension 0 (preoperative); FD1, fractal dimension 1 (0–1 months of follow-up); FD2, fractal dimension 2 (1–3 months of follow-up); FD3, fractal dimension 3 (6–12 months of follow-up); FD4, fractal dimension 4 (12 + months of follow-up) : Evaluation of the peri-implant
- Fig. 2. Region of interests (ROIs) were selected arbitrarily in a preoperative radiographic image and b a follow-up radiographic image : Evaluation of the peri-implant
- Fig. 3. Fractal analysis stages. a Selected region of interest (ROI). b Cropped and duplicated version of ROI. c Addition of Gaussian filter. d Subtraction. e Addition of 128 pixels. f Binarized version. g Eroded version. h Dilated version. i Inverted version j Skeletonization : Evaluation of the peri-implant
- Fig. 4. The crown-implant ratio measurement showing a the length of the crown (red line) and b the length of the implant (red line) : Evaluation of the peri-implant
- Fig. 5. Pie charts shows the distribution of the demographic datas of the patients : Evaluation of the peri-implant
- Fig. 6. Pie chart shows the distribution of loaded implants prosthetic restorations : Evaluation of the peri-implant
- Fig. 7. The box plot shows the distribution of age between the sex groups : Evaluation of the peri-implant