Abstract
Objectives:
The aim of the present study was to assess the feasibility of using mandibular CBCT radiomorphometric indices and box-counting fractal dimension (FD) to detect osteoporosis in post-menopausal females, compare them with the healthy control group and to correlate the findings with the bone mineral density measured by dual X-ray absorptiometry (DXA).
Methods:
This study consisted of 50 post-menopausal females, with age ranging from 55 to 70 years. Based on their DXA results, they were classified into osteoporotic and control groups. Mandibular CBCT radiomorphomertic indices and FD analysis were measured.
Results:
Significant differences were found for the CT cortical index scores (CTCI), CT mental index (CTMI) and CT mandibular index (CTI) between the control and osteoporotic groups. The control group showed higher mean values than the osteoporotic group. For FD values, no significant differences were found between the two groups.
Conclusions:
CBCT radiomorphometric indices could be used as an adjuvant tool to refer patients at risk of osteoporosis for further assessment.
Keywords: radiomorphometric indices, fractal dimension, CBCT, osteoporosis
Introduction
Reduced bone mass and high risk of fragility fractures are the major symptoms of osteoporosis and are considered to be the major challenges to public health worldwide.1 The problem with osteoporosis is that no signs of the disease are manifested until a fragility fracture occurs. For this reason, intense interest exists within the medical community in developing accurate early diagnostic techniques.2
Osteoporosis is characterized by decreased bone strength that reflects the integration of both bone mineral density (BMD) and bone quality, which refers to the trabecular bone architecture and geometry.3 Bone quality is considered as a major parameter for anticipating bone strength; this may be attributed to the fact that traumatic fractures caused by osteoporosis occur in patients with reduced bone density as well as bone microstructure changes. Moreover, these fractures could occur in patients with normal BMD.4
To assess trabecular microarchitecture, three-dimensional imaging modalities such as CT and MRI must be used. Although they are not able to illustrate single trabeculae because of their spatial resolution, some studies demonstrated high correlations in comparison with micro-CT images, which are considered to be a gold standard.5 CBCT has been introduced as a modality for analyzing trabecular microstructure at implant sites.6
As the radiographic appearance of the jaws change in patients with osteoporosis, the relationship between the mandibular morphology and the rate of osteoporosis can be quantified by the determination of the thickness and completeness of the mandibular inferior cortex.7
Various quantitative and qualitative indices had been utilized on panoramic radiographs to evaluate the bone in cases of osteoporosis. The efficiency of these indices had shown a debate: while some investigations consider them effective in diagnosing osteoporosis,8,9 others reported that some of these indices are not.10–12
Fractal dimension (FD) analysis is a statistical texture analysis that is based on fractal mathematics for describing complex shapes and structural patterns. It is used to express the texture roughness and indicate figure complexity by characterizing self-similarity of the texture grey-level variations over different scales.13
FD can be used to discriminate individuals with osteoporosis, measure bone fragility and show the increased risks for fracture. Some findings support that FD increases in the diseased, osteoporotic state. Others support that the diseased state reduces trabecular complexity and decreases FD.14
To our knowledge, no study in the dental literature could be found that investigated FD in post-menopausal females with osteoporosis using CBCT images. Moreover, only one study could be found that investigated the use of CBCT radiomorphometric indices to detect osteoporotic-related changes in the mandible.15
Therefore, the aim of this study was to assess the feasibility of CBCT mandibular radiomorphometric analysis and box-counting FD to detect osteoporosis in post-menopausal females, compare them with the healthy control group and correlate the findings with the BMD measured by dual X-ray absorptiometry (DXA).
Methods and materials
This study involved 50 post-menopausal females with ages ranging from 55 to 70 years. Based on their lumbar spine BMD measured by DXA, they were classified into 25 females with osteoporosis (t-score of <−2.5) and 25 control group (t-score >−1.0). Only natural menopausal females who had been post-menopausal for at least 10 years and were non-smokers and non-alcoholic were selected.
Ethical consideration: this study received approval from the Faculty of Dentistry Ain Shams University Research Ethics Committee. All subjects received explanation regarding the objectives of the study and signed a statement of informed consent. Confidentiality of data was ensured by the commitment of the principal investigator—by using codes for all study subjects included in this study. It worth mentioning that CBCT images were performed for the patients for research purposes only and this is not a normal practice.
CBCT imaging
CBCT scanning (Planmeca ProMax® 3D Classic, Helsinki, Finland) was performed not more than 2 weeks after the DXA scan. The scan was set at: 88 kVp, 12 mA, a voxel size of 0.2 mm and a field of view of 80 × 80 mm. Images were viewed using a Planmeca Romexis® (Helsinki, Finland) viewer on personal computer running Windows XP software with a 17-inch LCD screen with a resolution of 1366 × 768 pixels.
Slice selection
Using the multiplanar reformation screen, axial images with a slice thickness of 0.1 mm were selected and the mental foramen was identified by scrolling through sequential slices. The slice which clearly identified and represented the widest mesiodistal dimension of the mental foramen was selected (Figure 1).
Three radiomorphomertic indices were assessed on the CBCT images. As CBCT was utilized in this study, the terms of the indices used were obtained as a result of a modification of Ledgerton's classification for panoramic images.15,16 The indices were:
-
CT cortical index (CTCI) denoted the mandibular cortical index (MCI); this index represents the type of the mandibular inferior cortex of the mandible. It was evaluated from the non-orthogonal sagittal image obtained after slice preparation. The morphology of the mandibular inferior cortex was visually examined distal to the mental foramen bilaterally and classified using Klemetti's classification as follows:15,17
CT mental index (CTMI) symbolized the mental index (MI), which is the mandibular cortical width at the mental foramen region as described by Ledgerton et al.16 On the non-orthogonal coronal image obtained after slice preparation, the CTMI was measured by measuring the thickness of the mandibular cortex at a line that is perpendicular to a line tangent to the inferior border of the mandible at the mental foramen region (Figure 3).
CT mandibular index (CTI) symbolized the panoramic mandibular index (PMI), which represented the ratio of the thickness of the mandibular cortex to the distance between the middle of the mental foramen and the inferior mandibular cortex.11 This was measured on the non-orthogonal coronal image obtained after slice preparation (Figure 3). The measurement was made on both sides and the mean value was used in statistical analysis.
Fractal dimension analysis
FD was assessed from the non-orthogonal coronal image which was used to measure the CTMI and CTI. Each image was imported into Image J software (Image J; US National Institutes of Health, Bethesda, MD). A circular region of interest (ROI) with a diameter of 20 pixels was selected, which was located below the roots of the premolar and the mental foramen and just above the inferior border of the mandible.18
Great care was considered not to include the lamina dura, periodontal ligament space or root structure in the selected ROI.19 Pre-processing steps were performed on the images and then FD was calculated using the box-counting method20 (Figure 4).
All measurements were made bilaterally for each patient and the mean values were used for further statistical analysis.
Statistical analysis
Statistical analysis was performed using SPSS® v. 16.0 for Windows (IBM Corp., New York, NY; formerly SPSS Inc., Chicago, IL) and Microsoft Excel® (Microsoft, Redmond, WA). The data were expressed as mean and standard deviation. To compare the osteoporotic and normal groups, Mann–Whitney U-test was used to evaluate CTCI scores while two-tailed student's t-test was used for other variables (CTMI, CTI and FD). Spearman's correlation coefficient test was used to assess the levels of association of each of the variables (CTCI, CTMI, CTI and FD) with the lumbar spine BMD measured by DXA (t-scores).
Results
The characteristics of the study subjects are represented in Table 1. Significant differences were found for CTCI scores between the control and osteoporotic groups. In the osteoporotic group, 14 cases showed CTCI Type 2 followed by CTCI Type 3, which was 7 cases. On the other hand, the control group showed higher number of cases belonging to CTCI Type 1 (18 cases) (Table 2).
Table 1.
Characteristics | Osteoporotic |
Control |
---|---|---|
Mean ± SD | Mean ± SD | |
Number | 25 | 25 |
Age (years) | 61.1 ± 4.9 | 60.1 ± 3.7 |
Height | 156 ± 5.7735 | 158.96 ± 6.26 |
Weight | 77.36 ± 14 | 85.96 ± 11.62 |
t-score | −3.28 ± 0.58 | 0.51 ± 0.9 |
SD, standard deviation.
Table 2.
Scores CTCI | Osteoporotic group | Control group | Total |
---|---|---|---|
CTCI Type 1 | 4 | 18 | 22 |
CTCI Type 2 | 14 | 7 | 21 |
CTCI Type 3 | 7 | 0 | 7 |
Total | 25 | 25 | 50 |
p-value | <0.001 |
There was a high significant negative correlation between CTCI and lumbar spine BMD measured by DXA (t-score) (r = 0.613). As the t-score increased, the likelihood of the subjects belonging to CTCI Type 1 increased.
Significant differences were found for the CTMI and CTI between the control and osteoporotic groups (p < 0.001). The control group showed higher mean values than the osteoporotic group Table 3.
Table 3.
Groups | Indices | Mean | SD | t | p-value |
---|---|---|---|---|---|
CTMI | Osteoporotic (n = 25) | 3.7520 | 0.67907 | −3.803 | 0.000 |
Control (n = 25) | 4.4376 | 0.59274 | |||
CTI | Osteoporotic (n = 25) | 0.2743 | 0.05692 | −3.104 | 0.003 |
Control (n = 25) | 0.3202 | 0.04708 | |||
FD | Osteoporotic (n = 25) | 1.1996 | 0.04255 | 1.995 | 0.052 |
Control (n = 25) | 1.1739 | 0.04828 |
CTI, CT mandibular index; CTMI, CT mental index; FD, fractal dimension.
A high significant positive correlation was found between CTMI and CTI with lumber spine BMD measured by DXA (t-score) [(p < 0.001), (r = 0.463); (p < 0.05), (r = 0.340), respectively] (Figure 5).
For FD values, no significant difference was found between the two groups; however, the control group showed lower values than the osteoporotic group (1.173 ± 0.048 vs 1.199 ± 0.0425), respectively (Table 3).
A negative significant correlation was found between FD and lumbar spine BMD measured by DXA (t-score) (p < 0.05; r = 0.359) (Figure 6).
Intraobserver agreement showed moderate agreement regarding CTCI (0.576). Strong agreement was found regarding CTMI and CTI, while FD showed good intraobserver agreement (0.701).
Discussion
Panoramic mandibular radiomorphometric indices has been proofed to be one of the preliminary osteoporotic diagnostic tools.9 Moreover, FD is considered to be a distinguishing parameter between osteoporosis and normal bone density.21 Therefore, the aim of this study was to assess the feasibility of using mandibular CBCT radiomorphometric indices and FD analysis in post-menopausal females to detect osteoporosis.
We decided to use CBCT as an evaluation tool because it has several uses in dentistry and in the field of maxillofacial imaging. It provides three-dimensional images of high resolution. It also allows the qualitative and quantitative evaluation of osseous structures.22
Our results showed a significant difference between the two study groups for CTCI scores. Moreover, the mean values of CTMI and CTI results showed higher values in the control group than in the osteoporotic group and the differences were highly significant between the two study groups.
Our results were in agreement with the only study that could be found in the dental literature that investigated these indices using CBCT. In that study, the authors used CBCT indices to evaluate BMD among post-menopausal females. Their results showed that there was a significant difference between the normal and osteoporotic groups regarding CTCI. Moreover, CTI and CTMI showed higher mean values in the healthy group than in the osteoporotic group.15
As a result of limited studies using CBCT for the assessment of radiomorphomertic indices, our study results were compared with the results of similar studies that used panoramic images. Dagistan and Bilge23 conducted a study to compare the mandibular values of MI, PMI and MCI between normal and osteoporotic groups. The results showed that MI and PMI values within the osteoporosis group were significantly lower than control group.
Our results were also in accordance with a study by Mahl et al,24 who studied PMI, MI and MCI on 49 patients who were classified into: 19 normal patients and 30 patients with bone mass loss (24 patients with osteopenia and 6 patients with osteoporosis). The results demonstrated that there were significant differences present among the three groups for the PMI and MI. However, MCI did not show a significant difference between the groups.
Also supporting our results is a cross-sectional study by Khojastehpour et al25 which evaluated PMI in 140 female patients who were categorized as either normal, osteopenic or osteoporotic according to the World Health Organization classification in relation to their spinal and femoral BMD determined by DXA. The results demonstrated a statistically significant difference between the three groups regarding mean PMI values. A statistically significant difference was also found in the mean of the PMI of menopausal females with osteoporosis in comparison with those without osteoporosis.
Our results were in partial agreement with the results of a study performed by Khojastehpour et al26 on 119 post-menopausal females using digital panoramic radiography to evaluate MI of the mandibular inferior cortex. The results showed a statistically significant difference between the MIs of normal and osteopenic/osteoporotic groups.
Regarding the correlation between the radiomorphometric indices and the BMD of the lumbar spine measured by DXA (t-score), our results showed a significant negative correlation between CTCI scores and BMD of the lumbar spine. In addition, a significant positive correlation was found in CTMI and CTI with the BMD of the lumbar spine. As the t-score increases, both CMI and CTI increase.
Our results were in agreement with those of Khojastehpour et al,26 who demonstrated that the lumbar vertebrae BMD in post-menopausal females were significantly correlated with the MCI assessed using panoramic radiograph. Also in support to our results is the study by Miliuniene et al27 on 130 females with age ranging from 30 to 80 years, which showed a significant correlation between the MI on panoramic images and the BMD of the lumbar spine.
In regard to the comparison of FDs between the osteoporotic and control groups, many controversies were found in the literature concerning the relation between FD and trabecular bone complexity. Some studies showed that there was an inverse correlation between FD and osteoporotic state, while others found that the reduction in trabecular complexity was associated with decreased FD.14 In the present study, the control group showed lower FD values than the osteoporotic group. In support to our results, Yaşer and Akgunlu28 found that the FD was higher in the osteoporotic group than in the non-osteoporotic group and these differences were not statistically significant. They also concluded that FD can be used as an indicator of post-menopausal osteoporosis.
Our results were also in agreement with the findings of Tosoni et al,29 who assessed FD efficiency in detecting osteoporotic-associated bone density changes. They stated that although there were no significant differences in FD between osteoporotic and normal populations, the FD of the osteoporotic group was higher than that of the normal group.
In contrast to our results, an in vitro study investigated the FD of the simulated osteoporotic human maxillary alveolar bone process. After demineralization, a decrease in FD was observed. The authors stated that their results were supported by graphical analysis that showed obvious smoothing of the rough bone surface after demineralization. Also, similar results were found when using the osteoporotic rabbit model: upon increasing the cumulative steroid dose, there was a decrease in the FD of the mandible.30
Moreover, an in vivo evaluation of the microarchitecture of human vertebrae on multidetector CT demonstrated statistically significant differences in FD between females with and without history of osteoporotic fractures.31
With regard to the correlation between FD and lumbar spine BMD measured by DXA (t-score), it was observed that there was a negative significant correlation between FD and BMD of the lumbar spine. In support to our results, Hua et al32 evaluated decalcified bone samples in relation to DXA using CBCT and found a negative correlation between FD and bone density.
Our results were not in agreement with those of a study carried out by Southard et al,30 who demonstrated that the FD of the alveolar process was not significantly related to the spine, hip or radius density. However, it should be taken into consideration that this study used a different imaging modality and study samples.
Conclusions
We suggest that radiomorphometric indices that are assessed using CBCT could be used as a useful adjuvant tool to refer patients at risk of osteoporosis for further densitometric analysis. Regarding FD, further research must be conducted to evaluate the usefulness of using this tool in CBCT images to diagnose osteoporosis.
Further research should contain a larger sample size of female populations of different age groups and menstruation conditions. Also, further research should include patients with osteopenia, as this may give further information about the mandibular osseous changes at the initial stages of the disease.
Contributor Information
Raghdaa A Mostafa, Email: raghdaa.mostafa@yahoo.com.
Eman A Arnout, Email: emanarnooo@gmail.com.
Mona M Abo el- Fotouh, Email: mona_fotouh_dentist@yahoo.com.
References
- 1.Link TM. Osteoporosis imaging: state of the art and advanced imaging. Radiology 2012; 263: 3–17. doi: http://dx.doi.org/10.1148/radiol.2633201203 [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2.Kazakia GJ, Majumgar S. New imaging technologies in the diagnosis of osteoporosis. Rev Endocr Metab Disord 2006; 7: 67–74. doi: http://dx.doi.org/10.1007/s11154-006-9004-2 [DOI] [PubMed] [Google Scholar]
- 3.Bauer JS, Link TM. Advances in osteoporosis imaging. Eur J Radiol 2009; 71: 440–9. doi: http://dx.doi.org/10.1016/j.ejrad.2008.04.064 [DOI] [PubMed] [Google Scholar]
- 4.Muschitz C, Kocijan R, Haschka J, Pahr D, Kaider A, Pietschmann P, et al. TBS reflects trabecular microarchitecture in premenopausal women and men with idiopathic osteoporosis and low-traumatic fractures. Bone 2015; 79: 259–66. doi: http://dx.doi.org/10.1016/j.bone.2015.06.007 [DOI] [PubMed] [Google Scholar]
- 5.Baum T, Carballido-Gamio J, Huber MB, Müller D, Monetti R, Räth C, et al. Automated 3D trabecular bone structure analysis of the proximal femur—prediction of biomechanical strength by CT and DXA. Osteoporos Int 2010; 21: 1553–64. doi: http://dx.doi.org/10.1007/s00198-009-1090-z [DOI] [PMC free article] [PubMed] [Google Scholar]
- 6.Corpas LS, 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. Clin Oral Implants Res 2011; 22: 492–9. doi: http://dx.doi.org/10.1111/j.1600-0501.2010.02029.x [DOI] [PubMed] [Google Scholar]
- 7.Uysal S, Çağirankaya BL, Hatipoğlu MG. Do gender and torus mandibularis affect mandibular cortical index? A cross-sectional study. Head Face Med 2007; 3: 37–42. doi: http://dx.doi.org/10.1186/1746-160X-3-37 [DOI] [PMC free article] [PubMed] [Google Scholar]
- 8.Dutra V, Devlin H, Susin C, Yang J, Horner K, Fernandez AR. Mandibular morphological changes in low bone mass edentulous females: evaluation of panoramic radiographs. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2006; 102: 663–8. doi: http://dx.doi.org/10.1016/j.tripleo.2006.02.023 [DOI] [PubMed] [Google Scholar]
- 9.Konstantinos VZ, Chris SA, George VA, Ivoni F, John NM, John D, et al. Mandibular radiomorphometric measurements as indicators of possible osteoporosis in postmenopausal women. Maturitas 2007; 58: 226–35. [DOI] [PubMed] [Google Scholar]
- 10.Yasar F, Akgunlu F. Evaluating mandibular cortical index quantitatively. Eur J Dent 2008; 2: 283–90. [PMC free article] [PubMed] [Google Scholar]
- 11.Gulsahi A, Özden S, Ilker Cebeci A, Ozlem Kucuk N, Paksoy CS, Genc Y. The relationship between panoramic radiomorphometric indices and the femoral bone mineral density of edentulous patients. Oral Radiol 2009; 25: 47–52. doi: http://dx.doi.org/10.1007/s11282-009-0015-z [Google Scholar]
- 12.Leite AF, Figueiredo PT, Guia CM, Melo NS, de Paula AP. Correlations between seven panoramic radiomorphometric indices and bone mineral density in postmenopausal women. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2010; 109: 449–56. doi: http://dx.doi.org/10.1016/j.tripleo.2009.02.028 [DOI] [PubMed] [Google Scholar]
- 13.Demirbaş AK, Ergün S, Güneri P, Aktener BO, Boyacioğlu H. Mandibular bone changes in sickle cell anemia: fractal analysis. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2008; 106: e41–8. doi: http://dx.doi.org/10.1016/j.tripleo.2008.03.007 [DOI] [PubMed] [Google Scholar]
- 14.Updike SX, Nowzari H. Fractal analysis of dental radiographs to detect periodontitis-induced trabecular changes. J Periodontal Res 2008; 43: 658–64. doi: http://dx.doi.org/10.1111/j.1600-0765.2007.01056.x [DOI] [PubMed] [Google Scholar]
- 15.Koh KJ, Kim KA. Utility of the computed tomography indices on cone beam computed tomography images in the diagnosis of osteoporosis in women. Imaging Sci Dent 2011; 41: 101–6. doi: http://dx.doi.org/10.5624/isd.2011.41.3.101 [DOI] [PMC free article] [PubMed] [Google Scholar]
- 16.Ledgerton D, Horner K, Devlin H, Worthington H. Radiomorphometric indices of the mandible in a British female population. Dentomaxillofac Radiol 1999; 28: 173–81. doi: http://dx.doi.org/10.1038/sj/dmfr/4600435 [DOI] [PubMed] [Google Scholar]
- 17.Klemetti E, Collin HC, Forss H, Markkanen H, Lassila V. Mineral status of skeleton and advanced periodontal disease. J Clin Periodontol 1994; 21: 184–8. doi: http://dx.doi.org/10.1111/j.1600-051X.1994.tb00301.x [DOI] [PubMed] [Google Scholar]
- 18.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. doi: http://dx.doi.org/10.1016/S1079-2104(99)70097-1 [DOI] [PubMed] [Google Scholar]
- 19.Yasar F, Akgunlu F. Fractal dimension and lacunarity analysis of dental radiographs. Dentomaxillofac Radiol 2005; 34: 261–7. doi: http://dx.doi.org/10.1259/dmfr/85149245 [DOI] [PubMed] [Google Scholar]
- 20.Alman AC, Johnson LR, Calverley DC, Grunwald GK, Lezotte DC, Hokanson JE. Diagnostic capabilities of fractal dimension and mandibular cortical width to identify men and women with decreased bone mineral density. Osteoporos Int 2012; 23: 1631–6. doi: http://dx.doi.org/10.1007/s00198-011-1678-y [DOI] [PubMed] [Google Scholar]
- 21.Law AN, Bollen AM, Chen SK. Detecting osteoporosis using dental radiographs: a comparison of four methods. J Am Dent Assoc 1996; 127: 1734–42. doi: http://dx.doi.org/10.14219/jada.archive.1996.0134 [DOI] [PubMed] [Google Scholar]
- 22.Metzler P, Zemann W, Lübbers TH, Guggenberger R, Lüssi A, Obwegeser JA, et al. Bone mineral density measurements performed by cone-beam computed tomography in the bisphosphonate-related osteonecrosis-affected jaw. Oral Radiol 2012; 28: 101–8. doi: http://dx.doi.org/10.1007/s11282-012-0093-1 [Google Scholar]
- 23.Dagistan S, Bilge OM. Comparison of antegonial index, mental index, panoramic mandibular index and mandibular cortical index values in the panoramic radiographs of normal males and male patients with osteoporosis. Dentomaxillofac Radiol 2010; 39: 290–4. doi: http://dx.doi.org/10.1259/dmfr/46589325 [DOI] [PMC free article] [PubMed] [Google Scholar]
- 24.Mahl CR, Licks R, Fontanella VR. Comparison of morphometric indices obtained from dental panoramic radiography for identifying individuals with osteoporosis/osteopenia. Radiol Bras 2008; 41: 183–7. doi: http://dx.doi.org/10.1590/S0100-39842008000300011 [Google Scholar]
- 25.Khojastehpour L, Shahidi SH, Barghan S, Aflaki EL. Efficacy of panoramic, mandibular index in diagnosing osteoporosis in women. J Dent (Tehran) 2009; 6: 11–15. [Google Scholar]
- 26.Khojastehpour L, Afsa M, Dabbaghmanesh MH. Alterations of mandibular inferior cortex in postmenopausal osteoporosis. Iran Red Crescent Med J 2011; 13: 181–6. [PMC free article] [PubMed] [Google Scholar]
- 27.Miliuniene E, Alekna V, Peciuliene V, Tamulaitiene M, Maneliene R. Relationship between mandibular cortical bone height and bone mineral density of lumbar spine. Stomatologija 2008; 10: 72–5. [PubMed] [Google Scholar]
- 28.Yaşar F, Akgunlu F. The differences in panoramic mandibular indices and fractal dimension between patients with and without spinal osteoporosis. Dentomaxillofac Radiol 2006; 35: 1–9. [DOI] [PubMed] [Google Scholar]
- 29.Tosoni GM, Lurie AG, Cowan AE, Burleson JA. Pixel intensity and fractal analyses: detecting osteoporosis in perimenopausal and postmenopausal women by using digital panoramic images. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 2006; 102: 235–41. doi: http://dx.doi.org/10.1016/j.tripleo.2005.08.020 [DOI] [PubMed] [Google Scholar]
- 30.Southard TE, Southard KA, Jakobsen JR, Hillis SL, Najim CA. Fractal dimension radiographic analysis alveolar process bone. Oral Surg Oral Med Oral Pathol Oral Radiol Endod 1996; 82: 569–76. doi: http://dx.doi.org/10.1016/S1079-2104(96)80205-8 [DOI] [PubMed] [Google Scholar]
- 31.Ito M, Ikeda K, Nishiguchi M, Shindo H, Uetani M, Hosoi T, et al. Multi detector row CT imaging of vertebral microstructure for evaluation of fracture risk. J Bone Miner Res 2005; 20: 1828–36. [DOI] [PubMed] [Google Scholar]
- 32.Hua Y, Nackaerts O, Duyck J, Maes F, Jacobs R. Bone quality assessment based on cone beam computed tomography imaging. Clin Oral Implants Res 2009; 20: 767–71. doi: http://dx.doi.org/10.1111/j.1600-0501.2008.01677.x [DOI] [PubMed] [Google Scholar]