Quantification of trabecular bone mass and orientation using Gabor wavelets

Bone strength is dependent on both its mass and architecture. In this study, a tool was developed that incorporates metrics associated with both of these features. To accomplish this, textural features of trabecular bone were extracted from stained bone images using Gabor wavelets. Gabor wavelets are 2-D spatial filters that are both frequency and orientation tunable. A texture feature vector was constructed that consists of localized texture energies along different orientations at different scales. The texture feature characterizes the spatial (regional) distributions of the constituent bone lattice in terms of their size, shape and orientation. Results indicated that wavelet analysis provides the insight of the frequency composition that can be localized to the pizel level. Bone mass can be discriminated by the averaged texture energy across all orientations. Dominant bone lattice orientation can be determined by the orientation with the maximal value of the averaged texture energy across all scales. A measure of anisotropy can be quantified by the span between the maximum texture energy and the minimum texture energy. This methodology has the potential to provide a tool for quantifying both bone mass and bone structural anisotropy.

[1]  N L Fazzalari,et al.  Direct calculation of the surface-to-volume ratio for human cancellous bone. , 1993, Journal of biomechanics.

[2]  R. Lindsay,et al.  Temporal expression of the anabolic action of PTH in cancellous bone of ovariectomized rats , 1996, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[3]  Michael A. Parfitt,et al.  Which Stereological Methods Offer the Greatest Help in Quantifying Trabecular Structure from Biological and Mechanical Perspectives , 1998 .

[4]  Jian Fan,et al.  Texture Classification by Wavelet Packet Signatures , 1993, MVA.

[5]  A. Boskey,et al.  Fourier transform infrared microspectroscopic analysis of bones of osteocalcin-deficient mice provides insight into the function of osteocalcin. , 1998, Bone.

[6]  Anil K. Jain,et al.  Unsupervised texture segmentation using Gabor filters , 1990, 1990 IEEE International Conference on Systems, Man, and Cybernetics Conference Proceedings.

[7]  R R Recker,et al.  A comparison of iliac bone histomorphometric data in post-menopausal osteoporotic and normal subjects. , 1990, Bone and mineral.

[8]  Wilson S. Geisler,et al.  Multichannel Texture Analysis Using Localized Spatial Filters , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  B. S. Manjunath,et al.  Texture Features for Browsing and Retrieval of Image Data , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Trygve Randen,et al.  Filtering for Texture Classification: A Comparative Study , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Patricia H. Carter Texture discrimination using wavelets , 1991, Optics & Photonics.

[12]  C E Oxnard,et al.  Bone and bones, architecture and stress, fossils and osteoporosis. , 1993, Journal of biomechanics.

[13]  W. J. Whitehouse The quantitative morphology of anisotropic trabecular bone , 1974, Journal of microscopy.

[14]  A Odgaard,et al.  Three-dimensional methods for quantification of cancellous bone architecture. , 1997, Bone.

[15]  Harry Wechsler,et al.  Texture analysis — a survey , 1980 .

[16]  E W Abel,et al.  Evaluation of Cancellous Structure in the Distal Radius Using Spectral Analysis , 1997, Clinical orthopaedics and related research.

[17]  Bedrich J. Hosticka,et al.  Unsupervised texture segmentation of images using tuned matched Gabor filters , 1995, IEEE Trans. Image Process..

[18]  M. R. Turner,et al.  Texture discrimination by Gabor functions , 1986, Biological Cybernetics.

[19]  É. Legrand,et al.  Trabecular Bone Microarchitecture, Bone Mineral Density, and Vertebral Fractures in Male Osteoporosis , 2000, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[20]  K. Laws Textured Image Segmentation , 1980 .

[21]  S. Goldstein,et al.  Variations in Three‐Dimensional Cancellous Bone Architecture of the Proximal Femur in Female Hip Fractures and in Controls , 2000, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[22]  R.M. Haralick,et al.  Statistical and structural approaches to texture , 1979, Proceedings of the IEEE.

[23]  Michel Herbin,et al.  Comparative study of different spatial/spatial-frequency methods (Gabor filters, wavelets, wavelets packets) for texture segmentation/classification , 1996, Proceedings of 3rd IEEE International Conference on Image Processing.