Fractal dimension of trabecular bone projection texture is related to three-dimensional microarchitecture

被引:134
作者
Pothuaud, L
Benhamou, CL
Porion, P
Lespessailles, E
Harba, R
Levitz, P
机构
[1] CNRS Orleans, Ctr Rech Matiere Divisee, F-45071 Orleans 2, France
[2] CNRS Orleans, Inst Prevent & Rech Osteoporose, F-45071 Orleans 2, France
[3] Univ Orleans, ESPEO, Lab Elect Signaux Images, Orleans, France
关键词
trabecular bone; trabecular architecture; projection image; fractal dimension; connectivity;
D O I
10.1359/jbmr.2000.15.4.691
中图分类号
R5 [内科学];
学科分类号
1002 ; 100201 ;
摘要
The purpose of this work was to understand how fractal dimension of two-dimensional (2D) trabecular bone projection images could be related to three-dimensional (3D) trabecular bone properties such as porosity or connectivity. Two alteration processes were applied to trabecular bone images obtained by magnetic resonance imaging: a trabeculae dilation process and a trabeculae removal process. The trabeculae dilation process was applied from the 3D skeleton graph to the 3D initial structure with constant connectivity. The trabeculae removal process was applied from the initial structure to an altered structure having 99% of porosity, in which both porosity and connectivity were modified during this second process. Gray-level projection images of each of the altered structures were simply obtained by summation of voxels, and fractal dimension (D(f)) was calculated. Porosity (phi) and connectivity per unit volume (C(V)) were calculated from the 3D structure. Significant relationships were found between D(f), phi, and C(V), D(f) values increased when porosity increased (dilation and removal processes) and when connectivity decreased (only removal process). These variations were in accordance with all previous clinical studies, suggesting that fractal evaluation of trabecular bone projection has real meaning in terms of porosity and connectivity of the 3D architecture. Furthermore, there was a statistically significant linear dependence between D(f) and C(V) when phi remained constant. Porosity is directly related to bone mineral density and fractal dimension can be easily evaluated in clinical routine. These two parameters could be associated to evaluate the connectivity of the structure.
引用
收藏
页码:691 / 699
页数:9
相关论文
共 50 条
  • [21] THE ROLE OF 3-DIMENSIONAL TRABECULAR MICROSTRUCTURE IN THE PATHOGENESIS OF VERTEBRAL COMPRESSION FRACTURES
    KLEEREKOPER, M
    VILLANUEVA, AR
    STANCIU, J
    RAO, DS
    PARFITT, AM
    [J]. CALCIFIED TISSUE INTERNATIONAL, 1985, 37 (06) : 594 - 597
  • [22] Longitudinal analysis of radiographic trabecular pattern by image processing
    Korstjens, CM
    Geraets, WGM
    VanGinkel, FC
    PrahlAndersen, B
    VanderStelt, PF
    Burger, EH
    [J]. BONE, 1995, 17 (06) : 527 - 532
  • [23] Finite-element modeling of trabecular bone: Comparison with mechanical testing and determination of tissue modulus
    Ladd, AJC
    Kinney, JH
    Haupt, DL
    Goldstein, SA
    [J]. JOURNAL OF ORTHOPAEDIC RESEARCH, 1998, 16 (05) : 622 - 628
  • [24] Biomechanical properties of human os calcanei: relationships with bone density and fractal evaluation of bone microarchitecture
    Lespessailles, E
    Jullien, A
    Eynard, E
    Harba, R
    Jacquet, G
    Ildefonse, JP
    Ohley, W
    Benhamou, CL
    [J]. JOURNAL OF BIOMECHANICS, 1998, 31 (09) : 817 - 824
  • [25] Fractal analysis of bone texture on os calcis radiographs compared with trabecular microarchitecture analyzed by histomorphometry
    Lespessailles, E
    Roux, JP
    Benhamou, CL
    Arlot, ME
    Eynard, E
    Harba, R
    Padonou, C
    Meunier, PJ
    [J]. CALCIFIED TISSUE INTERNATIONAL, 1998, 63 (02) : 121 - 125
  • [26] Assessment of trabecular structure using high resolution CT images and texture analysis
    Link, TM
    Majumdar, S
    Lin, JC
    Augat, P
    Gould, RG
    Newitt, D
    Ouyang, XL
    Lang, TF
    Mathur, A
    Genant, HK
    [J]. JOURNAL OF COMPUTER ASSISTED TOMOGRAPHY, 1998, 22 (01) : 15 - 24
  • [27] Relationship between plain radiographic patterns and three-dimensional trabecular architecture in the human calcaneus
    Luo, G
    Kinney, JH
    Kaufman, JJ
    Haupt, D
    Chiabrera, A
    Siffert, RS
    [J]. OSTEOPOROSIS INTERNATIONAL, 1999, 9 (04) : 339 - 345
  • [28] High-resolution magnetic resonance imaging: Three-dimensional trabecular bone architecture and biomechanical properties
    Majumdar, S
    Kothari, M
    Augat, P
    Newitt, DC
    Link, TM
    Lin, JC
    Lang, T
    Lu, Y
    Genant, HK
    [J]. BONE, 1998, 22 (05) : 445 - 454
  • [29] A REVIEW OF THE RECENT ADVANCES IN MAGNETIC-RESONANCE-IMAGING IN THE ASSESSMENT OF OSTEOPOROSIS
    MAJUMDAR, S
    GENANT, HK
    [J]. OSTEOPOROSIS INTERNATIONAL, 1995, 5 (02) : 79 - 92
  • [30] Majumdar S, 1997, J BONE MINER RES, V12, pT652