The convex wrapping algorithm: A method for identifying muscle paths using the underlying bone mesh

Journal of Biomechanics

Volumn 43, Issue 13, 2010, Pages 2601-2607

  Desailly, Eric ^a,b   Sardain, Philippe ^b   Khouri, Nejib ^c   Yepremian, Daniel ^a   Lacouture, Patrick ^b  

^a Fondation Ellen Poidatz ^*  (France)

^b UNIVERSITÉ DE POITIERS   (France)

^c ARMAND TROUSSEAU HOSPITAL   (France)

Author keywords

Algorithm; Geometry; Length; Modeling; Moment arm; Muscle; Musculoskeletal; Path; Tendon

Indexed keywords

LENGTH; MODELING; MOMENT ARMS; MUSCULOSKELETAL; PATH;

ALGORITHMS; BONE; DISEASES; GEOMETRY; TENDONS;

MUSCLE;

ALGORITHM; ANATOMICAL CONCEPTS; ARTICLE; CONVEX WRAPPING ALGORITHM; FASCIA; GAIT; INTERMETHOD COMPARISON; KINEMATICS; KNEE; KNEE MOMENT ARM; LEG MOVEMENT; MODEL; MUSCLE LENGTH; MUSCLE PATH; PRIORITY JOURNAL; SEMITENDINOUS MUSCLE; SKELETON; TIBIA;

ALGORITHMS; BONE AND BONES; GAIT; METHODS; MODELS, ANATOMIC; MOTION; MUSCLE, SKELETAL;

EID: 77956404386     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2010.05.005     Document Type: Article

References (36)

1. Agarwal P.K., Sharathkumar R., Yu H. Approximate Euclidean shortest paths amid convex obstacles. Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete Algorithms 2009, 283-292.
2. Arnold A.S., Salinas S., Asakawa D.J., Delp S.L. Accuracy of muscle moment arms estimated from MRI-based musculoskeletal models of the lower extremity. Computer Aided Surgery 2000, 5:108-119.
3. Arnold A.S., Delp S.L. Rotational moment arms of the medial hamstrings and adductors vary with femoral geometry and limb position: implications for the treatment of internally rotated gait. Journal of Biomechanics 2001, 34:437-447.
4. Assi, A., 2008. Biomechanical analysis of lower limbs for children with cerebral palsy. Ph.D. Thesis, ENSAM, Paris.
5. Balstan A., Sharir M. On the shortest paths between two convex polyhedra. Journal of the ACM (JACM) 1988, 35:267-287.
6. Barber C.B., Dobkin D.P., Huhdanpaa H. The Quickhull Algorithm for Convex Hulls. ACM Transactions on Mathematical Software 1996, 22:469-483.
7. Beck J.M., Farouki R.T., Hinds J.K. Surface analysis methods. IEEE Computer Graphics and Applications 1986, 6:18-36.
8. Blemker S.S., Delp S.L. Three-dimensional representation of complex muscle architectures and geometries. Annals of Biomedical Engineering 2005, 33:661-673.
9. Carman A.B., Milburn P.D. Dynamic coordinate data for describing muscle-tendon paths: a mathematical approach. Journal of Biomechanics 2005, 38:943-951.
10. Clarkson K. Approximation algorithms for shortest path motion planning. Proceedings of the Nineteenth Annual ACM Symposium on Theory of Computing 1987, 55-65.
11. Cook A.F., Wenk C. Shortest path problems on a polyhedral surface. Algorithms and Data Structures 2009, 156-167.
12. Davids J.R., Benfanti P., Blackhurst D.W., Allen B.L. Assessment of femoral anteversion in children with cerebral palsy: accuracy of the trochanteric prominence angle test. Journal of Pediatric Orthopaedics 2002, 22:173-178.
13. Delp S.L., Loan J.P. A computational framework for simulating and analyzing human and animal movement. IEEE Computing in Science and Engineering 2000, 2:46-55.
14. Delp S.L., Loan J.P., Hoy M.G., Zajac F.E., Topp E.L., Rosen J.M. An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures. IEEE Transactions on Biomedical Engineering 1990, 37:757-767.
15. Fernandez J.W., Ho A., Walt S., Anderson I.A., Hunter P.J. A cerebral palsy assessment tool using anatomically based geometries and free-form deformation. Biomechanics and Modeling in Mechanobiology 2005, 4:39-56.
16. Garner B.A., Pandy M.G. The obstacle-set method for representing muscle paths in musculoskeletal models. Computer Methods in Biomechanics and Biomedical Engineering 2000, 3(1):1-30.
17. Inman V.T. Functional aspects of the abductor muscles of the hip. Journal of Bone and Joint Surgery 1947, 29:607-619.
18. Jacquemier M., Glard Y., Pomero V., Viehweger E., Jouve J.L., Bollini G. Rotational profile of the lower limb in 1319 healthy children. Gait and Posture 2008, 28:187-193.
19. Kimmel R., Kiryati N. Finding the shortest paths on surfaces by fast global approximation and precise local refinement. International Journal of Pattern Recognition and Artificial Intelligence 1996, 10:643-656.
20. Kiryati N., Székely G. Estimating shortest paths and minimal distances on digitized three-dimensional surfaces. Pattern Recognition 1993, 26:1623-1637.
21. Klein Horsman, M.D., 2007. The Twente lower extremity model: consistent dynamic simulation of the human locomotor apparatus. Ph.D. Thesis, Twente, University of Twente.
22. Maheshwari A., Wuhrer S. Geodesic Paths On 3D Surfaces: Survey and Open Problems 2009, arXiv:0904.2550v1.
23. Marai G.E., Laidlaw D.H., Demiralp C., Andrews S., Grimm C.M., Crisco J.J. Estimating joint contact areas and ligament lengths from bone kinematics and surfaces. IEEE Transactions on Biomedical Engineering 2004, 51:790-799.
24. Mitchell J.S.B. Geometric shortest paths and network optimization. Handbook of Computational Geometry 2000, 633-701.
25. Mitchell J.S.B., Sharir M. New results on shortest paths in three dimensions. Proceedings of the Twentieth Annual Symposium on Computational Geometry 2004, 124-133.
26. O'Rourke J. Computational geometry column. International Journal of Computational Geometry and Applications 1999, 35(4-5):513-515.
27. Papadimitriou C.H. An algorithm for shortest-path motion in three dimensions. Information Processing Letters 1985, 20:259-263.
28. Schreiber Y., Sharir M. An optimal-time algorithm for shortest paths on a convex polytope in three dimensions. Discrete and Computational Geometry 2008, 39:500-579.
29. Schutte L.M., Hayden S.W., Gage J.R. Lengths of hamstrings and psoas muscles during crouch gait: effects of femoral anteversion. Journal of Orthopaedic Research 1997, 15:615-621.
30. Sharir M., Schorr A. On shortest paths in polyhedral spaces. SIAM Journal on Computing 1986, 15:193-215.
31. Staheli L.T., Corbett M., Wyss C., King H. Lower-extremity rotational problems in children. Normal values to guide management. The Journal of Bone and Joint Surgery A 1985, 67:39-47.
32. Standring S. Gray's Anatomy: The Anatomical Basis of Clinical Practice, Expert Consult 2008, Churchill Livingstone. 40 ed.
33. Van der Helm F.C.T., Veeger H.E.J., Pronk H.G., Van der Woude L.H.V., Rozendal R.H. Geometry parameters for musculoskeletal modelling of the shoulder system. Journal of Biomechanics 1992, 25:129-144.
34. Van Sint Jan S. Introducing anatomical and physiological accuracy in computerized anthropometry for increasing the clinical usefulness of modeling systems. Critical Reviews in Physical and Rehabilitation Medicine 2005, 17:249-274.
35. Walsh E.G. Muscles, Masses and Motion 1992, Cambridge University Press.
36. Yap C.K. Algorithmic motion planning. Algorithmic and Geometric Aspects of Robotics: Algorithmic and Geometric Aspects of Robotics 1987, 95-143.