Geometric variability of the scoliotic spine using statistics on articulated shape models

IEEE Transactions on Medical Imaging

Volumn 27, Issue 4, 2008, Pages 557-568

  Boisvert, Jonathan ^a,b,c   Cheriet, Farida ^a,c   Pennec, Xavier ^b   Labelle, Hubert ^c   Ayache, Nicholas ^b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b INRIA   (France)

^c UNIVERSITY OF MONTREAL   (Canada)

Author keywords

Anatomical variability; Orthopaedic treatment; Radiograph; Rigid transformations; Scoliosis; Spine; Statistical shape analysis

Indexed keywords

COVARIANCE MATRIX; ORTHOPEDICS; RADIOGRAPHY; SHAPE OPTIMIZATION; STATISTICAL METHODS;

ANATOMICAL VARIABILITY; ORTHOPAEDIC TREATMENT; RIGID TRANSFORMATIONS; SCOLIOSIS; SPINE; STATISTICAL SHAPE ANALYSIS;

GEOMETRICAL OPTICS;

ALGORITHM; ARTICLE; AUDIOVISUAL EQUIPMENT; BIOLOGICAL MODEL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; EVALUATION; HUMAN; METHODOLOGY; PATHOLOGY; RADIOGRAPHY; REPRODUCIBILITY; SCOLIOSIS; SENSITIVITY AND SPECIFICITY; SPINE;

ALGORITHMS; COMPUTER SIMULATION; HUMANS; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, ANATOMIC; MODELS, BIOLOGICAL; REPRODUCIBILITY OF RESULTS; SCOLIOSIS; SENSITIVITY AND SPECIFICITY; SPINE;

EID: 41649083428     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2007.911474     Document Type: Article

References (44)

1. V. Vjjvermans, G. Fahiy, and J. Nijs, "Factors determining the final outcome of treatment of idiopathic scoliosis with the boston brace: A longitudinal study.," J. Pediatr. Orthop. B, vol. 13, pp. 143-149, 2004.
2. S. Delorme, H. Labelle, B. Poitras, C. H. Rivaid, C. Coillard, and J. Dansereau, "Pre-, intra-, and postoperative three-dimensional evaluation of adolescent idiopathic scoliosis.," J. Spinal DisonL, vol. 13, pp. 93-101, 2000.
3. S. Delorme, H. LabeUe, C. E. Aubin, J. A. de Guise, C. H. Rivaixi, B. Poitras, C. Coillard, and J. Dansereau, "Intraoperative comparison of two instrumentation techniques for the correction of adolescent idiopathic scoliosis: Rod rotation and translation," Spine, vol. 24, no. 19, pp. 2011-2017, Oct. 1999.
4. P. Papin, H. Labelle, S. Delorme, C. E. Aubin, J. A. de Guise, and J. Dansereau, "Long-term three-dimensional changes of the spine after posterior spinal instrumentation and fusion in adolescent idiopathic scoliosis," Eur. Spine J., vol. 8, pp. 16-21, 1999.
5. L. G. Lenke, R. R. Betz, J. Harms, K. H. Bridwe, D. H. Clements, T. G. Lowe, and K. Blanke, "Adolescent idiopathic scoliosis: A new classification, to determine extent of spinal arthrodesis," J. Bone Joint Surg., vol. 83-A, no. 8, pp. 1169-1180, Aug. 200.1.
6. M. Ogon, K. Giesinger, H. Behensky, C. Conner, M. Nogler, C. M. Bach, and M. Krismer, "Interobserver and intraobserver reliability of lenke's new scoliosis classification system.," Spine, vol. 27, pp. 858-862, Apr. 2002.
7. C. T. Price, "The value of the system of king for the classification of idiopathic thoracic scoliosis.," J. Bone Joint Surg. Am., vol. 81, pp. 743-744, May 1999.
8. I. A. F. Stokes and D. D. Aronsson, "Rule-based algorithm for automated king-type classification of idiopathic scoliosis.," Studies Health Technol Inform., vol. 88, pp. 149-152, 2002.
9. S. Delorme, H. Labelle, C. E. Aubin, J. A. de Guise, C. H. Rivard, B. Poitras, and J. Dansereau, "A three-dimensional radiographic comparison of cotrel-dubousset and Colorado instrumentations for the correction of idiopathic scoliosis," Spine, vol. 25, pp. 205-210, Jan. 2000.
10. J. R. Cobb, "Outline for the study of scoliosis," Amer. Acad. Orthop. Surg. Instruct. Lect., vol. 5, pp. 261-275, 1948.
11. I.A. Stokes, "Three-dimensional terminology of spinal deformity, a report presented to the scoliosis research society by the scoliosis research society working group on 3-d terminology of spinal deformity.," Spine, vol. 19, pp. 236-248, Jan. 1994.
12. I.B. Ghanem et al., "Intraoperative optoelectronic analysis of three-dimensional vertebral displacement after cotrel-dubousset rod rotation, a preliminary report.," Spine, vol. 22, pp. 1913-1921, 1997.
13. Sawatzky, Jang, Tiredwell, Black, Reilly, and Booth, "Intra- operative analysis of scoliosis surgery in 3-d.," Camp. Meth. Biomech. Biomed. Eng., vol. 1, no. 3, pp. 2.11-221, 1998.
14. Y. Petit, C.-E. Aubin, and H. Labelle, "Spinal shape changes resulting from scoliotic spine surgical instrumentation expressed as intervertebral rotations and centers of rotation.," J. Biomech., vol. 37, pp. 173-180, 2004.
15. T. Yrjonen, M. Ylikoski, D. Schlenzka, R. Kinnunen, and M. Poussa, "Effectiveness of the providence nighttime bracing in adolescent idiopathic scoliosis: A comparative study of 36 female patients.," Eur. Spine J., vol. 15, no. 7, pp. 1139-1143, Jan. 2006.
16. E. L. Laumen, J. W. Tupper, and M. P. Mullen, "The Boston brace in thoracic scoliosis. A preliminary report," Spine, vol. 8, pp. 388-395, 1982.
17. A. Uden and S. Willner, "The effect of lumbar flexion and Boston thoracic brace on the curves in idiopathic scoliosis," Spine, vol. 8, pp. 846-850, 1983.
18. H. Labelle, J. Dansereau, C. Bellefleur, and B. Poitras, "Three-dimensional effect of the Boston brace on the thoracic spine and rib cage," Spine, vol. 2.1, pp. 59-64, Jan. 1996.
19. X. Pennec, "Probabilities and statistics on Riemannian manifolds: Basic tools for geometric measurements," in Pmc. IEEE-EURASIP Workshop Nonlinear Signal Image Process. (NSIP'99), , 1999, vol. 1, pp. 194-198.
20. X. Pennec, "Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements," J. Math. Imag. Vis., vol. 25, no. 1, pp. 127-154, 2006.
21. X. Pennec, P. Fillard, and N. Ayache, "A Riemannian framework for tensor computing," Int. J. Comput. Vis., vol. 66, no. 1, pp. 41-66, 2006.
22. P. G. Batchelor et al., "A rigorous framework for diffusion tensor calculus," Magn. Reson. Med., vol. 53, pp. 221-225, 2005.
23. V. Arsigny, P. Fillard, X. Pennec, and N. Ayache, "Fast and simple calculus on tensors in the log-euclidean framework," in Proc. MICCAI. New York:, 2005, vol. 3749, Lecture Notes in Computer Science, pp. 115-122.
24. C. Lenglet, M. Rousson, R. Deriche, and O. Faugeras, "Statistics on the manifold of multivariate normal distributions: Theory and application to diffusion tensor mri processing," J. Math. Imag. Vis., vol. 25, no. 3, pp. 423-444, 2005.
25. P. T. Fletcher and S. Joshi, "Principal geodesic analysis on symmetric spaces: Statistics of diffusion tensors," in Proc. Comput. Vis. Approaches Med Image Anal., ECCV Workshop, 2004, pp. 87-98.
26. J. Boisvert, X. Pennec, N. Ayache, H. Labelle, and F. Cheriet, "3-D anatomical variability assessment of the scoliotic spine using statistics on. lie groups," in 2006 3rd IEEE Int. Symp. Biomed. Imag.: Macro Nano, Arlington, VA, 2006, pp. 750-753.
27. P. T. Fletcher, C. Lu, S. M. Pizer, and S. Joshi, "Principal geodesic analysis for the study of nonlinear statistics of shape," IEEE Trans. Med. Imag., vol. 23, no. 8, pp. 995-1005, Aug. 2004.
28. C.-E. Aubin, J. Dansereau, F. Parent, H. Labelle, and J. de Guise, "Morphometric evaluations of personalised 3-D reconstructions and geometric models of the human spine," Med. Bio. Eng. Comp., vol. 35, no. 6, pp. 611-618, 1997.
29. X. Pennec and J.-P. Thirion, "A framework for uncertainty and validation of 3-D registration methods based on points and frames," Int. J. Comput. Vis., vol. 25, no. 3, pp. 203-229, 1997.
30. M. Fréchet, "Les elements aleatoires de nature quelconque dans un espace distancie," Ann. Inst. H. Poincare, vol. 10, pp. 215-310, 1948.
31. W. S. Kendall, "Probability, convexity and harmonic maps with small image - I: Uniqueness and fine existence," in Proc. London Math. Soc., 1990, vol. 3, pp. 371-406.
32. D. Eggert, A. Lorusso, and R. Fisher, "Estimating 3-D rigid body transformations: A comparison of four major algorithms," Mach. Vis. Appl., vol. 9, no. 5-6, pp. 272-290, 1997.
33. C. Giamkow, "On averaging rotations," Int. J. Comput. Vis., vol. 42, no. 1-2, pp. 7-16, 2001.
34. A. C. Rencher, Methods of Multivariate Analysis. New York: Wiley, 2002.
35. W. J. Conover, Practical Nonpammetric Statistics. New York: Wiley, 1980.
36. D. G. Nel and C. A. Van Der Merwe, "A solution to the multivariate behrens-flscher problem," Commun. Stat. Theory Methods, vol. 15, no. 12, pp. 3719-3735, 1986.
37. T. Temberry, S. JosM, and G. Gerig, "Hypothesis tailing with nonlinear shape models," in Proc. IPMI. New York: Springer, 2005, vol. 3565, Lecture Notes Computer Science, pp. 15-26.
38. J. P. Shaffer, "Multiple hypothesis testing," Ann. Rev. Psych., vol. 46, pp. 561-584, 1995.
39. J. P. Shaffer, "Multiple hypothesis testing," Ann. Rev. Psych., vol. 46, pp. 561-584, 1995.
40. R. L. Fernando, D. Nettleton, B. R. Southey, J. C. M. Dekkers, M. F. Rothschild, and M. Soller, "Controlling the proportion of false positives in multiple dependent tests," Genetics, vol. 166, pp. 611-619, Jan. 2004.
41. M. O. Mosig, E. Lipkin, G. Khutoreskaya, E. Tchoiirzyna, M. Soller, and A. Friedmann, "A whole genome scan for quantitative trait loci affecting milk protein percentage in israeli-holstein cattle, by means of selective milk DNA pooling in a daughter design, using an adjusted false discovery rate criterion," Genetics, vol. 157, pp. 1683-1698, Apr. 2001.
42. C.-E. Aubin, H. Labelle, and O. C. Ciolofan, "Variability of spinal instrumentation configurations in adolescent idiopathic scoliosis.," Eur. Spine J., vol. 16, pp. 57-64, Jan. 2007.
43. C.-E. Aubin, H. Labelle, and O. C. Ciolofan, "Variability of spinal instrumentation configurations in adolescent idiopathic scoliosis.," Eur. Spine J., vol. 16, pp. 57-64, Jan. 2007.
44. O. Commowick, R. Stefanescu, P. Pillard, P. Anigny, N. Ayache, X. Pennec, and G. Malandain, "Incorporating statistical measures of anatomical variability in atlas-to-subject registration for conformai brain radiotherapy," in Proc. Med. Imag. Comp. Comp.-Assist. Intervention, , 2005, pp. 927-934.