In this work, MacConaill's classification that the articular surface of the femoral head is better represented by ovoidal shapes rather than purely spherical shapes is computationally tested. To test MacConaill's classification, a surface fitting framework was developed to fit spheres, ellipsoids, superellipsoids, ovoids, and superovoids to computed tomography (CT) data of the femoral proximal epiphysis. The framework includes several image processing and computational geometry techniques, such as active contour segmentation and mesh smoothing, where implicit surface fitting is performed with genetic algorithms. By comparing the surface fitting error statistics, the results indicate that (super)ovoids fit femoral articular surfaces better than spherical or (super)ellipsoidal shapes.
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Shape Analysis of the Femoral Head: A Comparative Study Between Spherical, (Super)Ellipsoidal, and (Super)Ovoidal Shapes
Daniel Simões Lopes
,
Daniel Simões Lopes
Visualization and Intelligent Multimodal Interfaces Group,
INESC ID Lisboa,
Rua Alves Redol, 9,
Lisbon 1000-029, Portugal
e-mail: daniel.lopes@inesc-id.pt
INESC ID Lisboa,
Rua Alves Redol, 9,
Lisbon 1000-029, Portugal
e-mail: daniel.lopes@inesc-id.pt
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Richard R. Neptune
,
Richard R. Neptune
Mem. ASME
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78712
e-mail: rneptune@mail.utexas.edu
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78712
e-mail: rneptune@mail.utexas.edu
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Artur A. Gonçalves
,
Artur A. Gonçalves
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: artur.goncalves@tecnico.ulisboa.pt
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: artur.goncalves@tecnico.ulisboa.pt
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Jorge A. Ambrósio
,
Jorge A. Ambrósio
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: jorge@dem.ist.utl.pt
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: jorge@dem.ist.utl.pt
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Miguel T. Silva
Miguel T. Silva
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: MiguelSilva@ist.utl.pt
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: MiguelSilva@ist.utl.pt
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Daniel Simões Lopes
Visualization and Intelligent Multimodal Interfaces Group,
INESC ID Lisboa,
Rua Alves Redol, 9,
Lisbon 1000-029, Portugal
e-mail: daniel.lopes@inesc-id.pt
INESC ID Lisboa,
Rua Alves Redol, 9,
Lisbon 1000-029, Portugal
e-mail: daniel.lopes@inesc-id.pt
Richard R. Neptune
Mem. ASME
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78712
e-mail: rneptune@mail.utexas.edu
Department of Mechanical Engineering,
The University of Texas at Austin,
Austin, TX 78712
e-mail: rneptune@mail.utexas.edu
Artur A. Gonçalves
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: artur.goncalves@tecnico.ulisboa.pt
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: artur.goncalves@tecnico.ulisboa.pt
Jorge A. Ambrósio
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: jorge@dem.ist.utl.pt
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: jorge@dem.ist.utl.pt
Miguel T. Silva
Instituto Superior Técnico,
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: MiguelSilva@ist.utl.pt
Universidade de Lisboa,
Avenida Rovisco Pais 1,
Lisbon 1049-001, Portugal
e-mail: MiguelSilva@ist.utl.pt
1
Corresponding author.
Manuscript received April 10, 2015; final manuscript received September 13, 2015; published online October 1, 2015. Assoc. Editor: Tammy L. Haut Donahue.
J Biomech Eng. Nov 2015, 137(11): 114504 (8 pages)
Published Online: October 1, 2015
Article history
Received:
April 10, 2015
Revised:
September 13, 2015
Citation
Lopes, D. S., Neptune, R. R., Gonçalves, A. A., Ambrósio, J. A., and Silva, M. T. (October 1, 2015). "Shape Analysis of the Femoral Head: A Comparative Study Between Spherical, (Super)Ellipsoidal, and (Super)Ovoidal Shapes." ASME. J Biomech Eng. November 2015; 137(11): 114504. https://doi.org/10.1115/1.4031650
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