Modeling and analysis of 3-D elongated shapes with applications to long bone morphometry
- Telecom Bretagne-LATIM, Brest (France). Dept. Image et Traitement de l`Information
- Centre Hospitalier Regional Univ. de Brest-LATIM (France). Service Orthopedie et Traumatologie
This paper presents a geometric model to be used as a framework for the description and analysis of three-dimensional (3-D) elongated shapes. Elongated shapes can be decomposed into two different parts: a 3-D curve (the central axis) and a 3-D surface (the straight surface). The central axis is described in terms of curvature and torsion. A novel concept of torsion image is introduced which allows the user to study the torsion of some relevant 3-D structures such as the medulla of long bones, without computing the third derivative. The description of the straight surface is based on an ordered set of Fourier Descriptors (FD`s), each set representing a 2-D slice of the structure. These descriptors possess completeness, continuity, and stability properties, and some geometrical invariancies. A polar diagram is built which contains the anatomical information of the straight surface and can be used as a tool for the analysis and discrimination of 3-D structures. A technique for the reconstruction of the 3-D surface from the model`s two components is presented. Various applications to the analysis of long bone structures, such as the ulna and radius, are derived from the model, namely, data compression, comparison of 3-D shapes, segmentation into 3-D primitives, and torsion and curvature analysis. The relevance of the method to morphometry and to clinical applications is discussed.
- OSTI ID:
- 207911
- Journal Information:
- IEEE Transactions on Medical Imaging, Vol. 15, Issue 1; Other Information: PBD: Feb 1996
- Country of Publication:
- United States
- Language:
- English
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