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Parametric Model Variability of the Proximal Femoral Sculptural Shape

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Abstract

In this paper, a method of parameterisation of a proximal femur model is presented. The created model retains all the anatomical and morphological features of a realistic model. The parametric model of the femur, the so-called master model, is defined by establishing a relation between appropriate femoral regions which extend along the parametrically described axis of the femur. An initial 3D model of the femur is segmented from the CT image and further parameterized to a master model with the potential for customization, i.e. for adaptation to patient-specific values using X-ray images, still maintaining precise anatomical consistency. The first step towards the femur customization is the contour extraction of different types of tissues represented in X-ray images. As medical images can be blurry, image processing was carried out and a Canny edge detector operator was applied. The numerical values of the parameters were determined by manual measuring of defined regions on an X-ray image. The variability testing was performed on 12 femurs. The proposed model can greatly contribute to preoperative planning, implant selection, as well as to the overall shortening of intervention time.

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Abbreviations

CT:

computer tomography

RTG:

radiographic image

S j(x):

spline function on the interval [xi, xi+1], i=0, 1, 2, …, n

Aa, HAa :

coefficient matrix

ai, bi, ci, di :

coefficients

x :

knot position

ACD:

neck angle (degrees)

A:

femoral head diameter (mm)

D, G, E, F:

width of the metaphyseal femur (mm)

B:

intramedullary diameter (mm)

CP1, CP2, CP3:

control parameters (mm)

HVF, HNF :

high, low pass filter normalized transfer function

u, v:

directions

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Authors and Affiliations

  1. Faculty of Engineering, University of Kragujevac, Sestre Janjic, 6, Kragujevac, 34000, Serbia

    Suzana Petrovic Savic & Goran Devedzic

  2. Faculty of Medical Science, University of Kragujevac, Svetozara Markovica, 69, Kragujevac, 34000, Serbia

    Branko Ristic, Aleksandar Matic & Nikola Prodanovic

  3. Clinical Center Kragujevac, Zmaj Jovina, 30, Kragujevac, 34000, Serbia

    Branko Ristic, Zoran Jovanovic, Aleksandar Matic & Nikola Prodanovic

  4. Automated Production Research Laboratory LURPA, Ecole Normale Superieure de Cachan, 61 Avenue du President Wilson, 94230, Cachan, France

    Nabil Anwer

  5. Department of Industrial and Manufacturing System Engineering, Beihang University (BUAA), Beijing, China

    Lihong Qiao

Authors
  1. Suzana Petrovic Savic
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  2. Branko Ristic
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  3. Zoran Jovanovic
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  4. Aleksandar Matic
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  5. Nikola Prodanovic
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  6. Nabil Anwer
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  7. Lihong Qiao
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  8. Goran Devedzic
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Correspondence to Goran Devedzic.

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Savic, S.P., Ristic, B., Jovanovic, Z. et al. Parametric Model Variability of the Proximal Femoral Sculptural Shape. Int. J. Precis. Eng. Manuf. 19, 1047–1054 (2018). https://doi.org/10.1007/s12541-018-0124-x

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  • DOI: https://doi.org/10.1007/s12541-018-0124-x

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