European Oral Research

SUBMITINFORMATION
EnglishTürkçe

Research Article


DOI :10.26650/eor.2018.478   IUP :10.26650/eor.2018.478    Full Text (PDF)

Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes

Mehmet Ali Altay, Faisal A. Quereshy, Sumit k. nijhawan Nijhawan, Jose f. Teppa, Michael p. Horan, Nelli Yıldırımyan, Dale A. Baur

Purpose
The objective of this study was to compare the accuracy of the Cavalieri’s principle and 3D reconstruction in predicting the volume of a bony defect. 

Materials and Methods
Defects of the same approximate size were created on nine artificial mandibles.  The actual volume of the defect on each mandible was measured by water displacement, and served as the control. Each mandible was then scanned using a CBCT and volume measurements were made for each defect using two techniques: Cavalieri’s principle and 3D reconstruction. For each defect, the volume obtained by each of the two techniques was compared to the control volume using the analysis of variances (ANOVA) with p<0.05. 

Results
ANOVA between the control, 3D reconstruction and Cavalieri’s principle groups showed no statistically significant differences (p=.058). When the control group was further analyzed by Dunnett’s post-hoc test, the results from Cavalieri’s principle were found to be statistically different than the control group (p=.035), whereas the results of 3D reconstruction technique did not reach the level of significance (p=.523).
 
Conclusion 
Cavalieri’s principle significantly underestimates the actual control volume, and is less accurate than the 3D reconstruction technique. The 3D reconstruction method is a reliable technique in measuring volume of bony defects. 
Keywords: Cone-beam CT, three-dimensional imaging, Cavalieri’s principle, defect, image reconstruction

PDF View

References

  • 1. Shiratori LN, Marotti J, Yamanouchi J, Chilvarquer I, Contin I, Tortamano-Neto P. Measurement of buccal bone volume of dental implants by means of cone-beam computed tomography. Clin Oral Implants Res 2012; 23: 797-804. google scholar
  • 2. Spin-Neto R, Stavropoulos A, Dias Pereira LA, Marcantonio E Jr, Wenzel A. Fate of autologous and fresh-frozen allogeneic block bone grafts used for ridge augmentation. A CBCT-based analysis. Clin Oral Implants Res 2013; 24: 167-73. google scholar
  • 3. Araujo MG, Sukekava F, Wennström JL, Lindhe J. Tissue modeling following implant placement in fresh extraction sockets. Clin Oral Implants Res 2006; 17: 615-24. google scholar
  • 4. Grütter L, Belser UC. Implant loading protocols for the partially edentulous esthetic zone. Int J Oral Maxillofac Implants 2009; 24: 169-79. google scholar
  • 5. Van Oosterwyck H, Duyck J, Vander Sloten J, Van Der Perre G, Naert I. Peri-implant bone tissue strains in cases of dehiscence: a finite element study. Clin Oral Implants Res 2002; 13: 327-33. google scholar
  • 6. Louis, PJ. Bone Grafting the Mandible. Den Clin N Am 2011; 55: 673-95. google scholar
  • 7. Quereshy FA, Dhaliwal HS, El SA, Horan MP, Dhaliwal SS. Resorbable screw fixation for cortical onlay bone grafting: a pilot study with preliminary results. J Oral Maxillofac Surg 2010; 68: 2497-502. google scholar
  • 8. Smolka W, Eggensperger N, Carollo V, Ozdoba C, Iizuka T. Changes in the volume and density of calvarial split bone grafts after alveolar ridge augmentation. Clin Oral Implants Res 2006; 17: 149-55. google scholar
  • 9. Agbaje JO, Jacobs R, Maes F, Michiels K, van Steenberghe D. Volumetric analysis of extraction sockets using cone beam computed tomography: a pilot study on ex vivo jaw bone. J Clin Periodontol 2007; 34: 985-90. google scholar
  • 10. Quereshy FA, Barnum G, Demko C, Horan M, Palomo JM, Baur DA, Jannuzzi J. Use of cone beam computed tomography to volumetrically assess alveolar cleft defects-preliminary results. J Oral Maxillofac Surg 2012; 70: 188-91. google scholar
  • 11. Leung CC, Palomo L, Griffith R, Hans MG. Accuracy and reliability of cone-beam computed tomography for measuring alveolar bone height and detecting bony dehiscences and fenestrations. Am J Orthod Dentofacial Orthop 2010; 137: 109-19. google scholar
  • 12. Pinsky HM, Dyda S, Pinsky RW, Misch KA, Sarment DP. Accuracy of three-dimensional measurements using cone-beam CT. Dentomaxillofac Radiol 2006; 35: 410-6. google scholar
  • 13. Kayipmaz S, Sezgin OS, Saricaoglu ST, Bas O, Sahin B, Küçük M. The estimation of the volume of sheep mandibular defects using cone-beam computed tomography images and a stereological method. Dentomaxillofac Radiol 2011; 40: 165-9. google scholar
  • 14. Michel RP, Cruz-Orive LM. Application of the Cavalieri Principle and vertical sections method to lung: estimation of volume and pleural surface area. Journal of Microscopy 1988; 150: 117-36. google scholar
  • 15. Mandarim-de-Lacerda CA. Stereological tools in biomedical research. An Acad Bras Cienc 2003; 75: 469-86. google scholar
  • 16. Chowdhury B, Sjöström L, Alpsten M, Kostanty J, Kvist H, Löfgren R. A multicompartment body composition technique based on computerized tomography. Int J Obes Relat Metab Disord 1994; 18: 219-34 google scholar
  • 17. Draenert FG, Gebhart F, Berthold M, Gosau M, Wagner W. Evaluation of demineralized bone and bone transplants in vitro and in vivo with cone beam computed tomography imaging. Dentomaxillofac Radiol 2010; 39: 264-9. google scholar
  • 18. Nackaerts O, Maes F, Yan H, Couto Souza P, Pauwels R, Jacobs R. Analysis of intensity variability in multislice and cone beam computed tomography. Clin Oral Implants Res 2011; 22: 873-9. google scholar
  • 19. Sahin B, Acer N, Sonmez OF, Emirzeoglu M, Basaloglu H, Uzun A, Bilgic S. Comparison of four methods for the estimation of intracranial volume: a gold standard study. Clin Anat 2007; 20: 766-73. google scholar
  • 20. Gadeberg P, Gundersen HJ, Tågehøj F. How accurate are measurements on MRI? A study on multiple sclerosis using reliable 3D stereological methods. J Magn Reson Imaging 1999; 10: 72-9. google scholar
  • 21. Abreu LADS, Damasceno-Ferreira JA, Monteiro ME, Pereira-Sampaio MA, Sampaio FJB, de Souza DB. Volume and shape assessment of renal radiofrequency ablation lesion. Urology 2018; 116: 229. google scholar
  • 22. Bingol F, Yoruk O, Bingol BO, Erdemci B, Ozkan O, Mazlumoglu MR. Estimation of the efficacy of chemo-radiotherapy on tumor regression in the patients with laryngeal cancer via computerized tomography using the Cavalieri method. Acta Otolaryngol 2016; 136: 164-7. google scholar
  • 23. Parsa A, Ibrahim N, Hassan B, Motroni A, van der Stelt P, Wismeijer D. Reliability of voxel gray values in cone beam computed tomography for preoperative implant planning assessment. Int J Oral Maxillofac Implants 2012; 27: 1438-42. google scholar
  • 24. Nomura Y, Watanabe H, Honda E, Kurabayashi T. Reliability of voxel values from cone-beam computed tomography for dental use in evaluating bone mineral density. Clin Oral Implants Res 2010; 21: 558-62. google scholar

Citations

Copy and paste a formatted citation or use one of the options to export in your chosen format


EXPORT



APA

Altay, M.A., Quereshy, F.A., Nijhawan, S., Teppa, J., Horan, M., Yıldırımyan, N., & Baur, D.A. (2018). Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes. European Oral Research, 52(2), 105-110. https://doi.org/10.26650/eor.2018.478


AMA

Altay M A, Quereshy F A, Nijhawan S, Teppa J, Horan M, Yıldırımyan N, Baur D A. Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes. European Oral Research. 2018;52(2):105-110. https://doi.org/10.26650/eor.2018.478


ABNT

Altay, M.A.; Quereshy, F.A.; Nijhawan, S.; Teppa, J.; Horan, M.; Yıldırımyan, N.; Baur, D.A. Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes. European Oral Research, [Publisher Location], v. 52, n. 2, p. 105-110, 2018.


Chicago: Author-Date Style

Altay, Mehmet Ali, and Faisal A. Quereshy and Sumit k. nijhawan Nijhawan and Jose f. Teppa and Michael p. Horan and Nelli Yıldırımyan and Dale A. Baur. 2018. “Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes.” European Oral Research 52, no. 2: 105-110. https://doi.org/10.26650/eor.2018.478


Chicago: Humanities Style

Altay, Mehmet Ali, and Faisal A. Quereshy and Sumit k. nijhawan Nijhawan and Jose f. Teppa and Michael p. Horan and Nelli Yıldırımyan and Dale A. Baur. “Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes.” European Oral Research 52, no. 2 (Aug. 2025): 105-110. https://doi.org/10.26650/eor.2018.478


Harvard: Australian Style

Altay, MA & Quereshy, FA & Nijhawan, S & Teppa, J & Horan, M & Yıldırımyan, N & Baur, DA 2018, 'Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes', European Oral Research, vol. 52, no. 2, pp. 105-110, viewed 14 Aug. 2025, https://doi.org/10.26650/eor.2018.478


Harvard: Author-Date Style

Altay, M.A. and Quereshy, F.A. and Nijhawan, S. and Teppa, J. and Horan, M. and Yıldırımyan, N. and Baur, D.A. (2018) ‘Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes’, European Oral Research, 52(2), pp. 105-110. https://doi.org/10.26650/eor.2018.478 (14 Aug. 2025).


MLA

Altay, Mehmet Ali, and Faisal A. Quereshy and Sumit k. nijhawan Nijhawan and Jose f. Teppa and Michael p. Horan and Nelli Yıldırımyan and Dale A. Baur. “Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes.” European Oral Research, vol. 52, no. 2, 2018, pp. 105-110. [Database Container], https://doi.org/10.26650/eor.2018.478


Vancouver

Altay MA, Quereshy FA, Nijhawan S, Teppa J, Horan M, Yıldırımyan N, Baur DA. Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes. European Oral Research [Internet]. 14 Aug. 2025 [cited 14 Aug. 2025];52(2):105-110. Available from: https://doi.org/10.26650/eor.2018.478 doi: 10.26650/eor.2018.478


ISNAD

Altay, MehmetAli - Quereshy, FaisalA. - Nijhawan, Sumit k. nijhawan - Teppa, Jose f. - Horan, Michael p. - Yıldırımyan, Nelli - Baur, DaleA.. “Comparative assessment of 3D reconstruction technique and Cavalieri’s principle in predicting the mandibular bone defect volumes”. European Oral Research 52/2 (Aug. 2025): 105-110. https://doi.org/10.26650/eor.2018.478



TIMELINE


Submitted09.08.2017
Accepted12.12.2017
Published Online01.05.2018

LICENCE


Attribution-NonCommercial (CC BY-NC)

This license lets others remix, tweak, and build upon your work non-commercially, and although their new works must also acknowledge you and be non-commercial, they don’t have to license their derivative works on the same terms.


SHARE



Istanbul University Press aims to contribute to the dissemination of ever growing scientific knowledge through publication of high quality scientific journals and books in accordance with the international publishing standards and ethics. Istanbul University Press follows an open access, non-commercial, scholarly publishing.