Abstract
Bone shape is an important factor to determine the bone's structural function. For the asymmetrically shaped and anisotropically distributed bone in vivo, a surface mapping method is proposed on the bases of its geometric transformation invariance and its uniqueness of the principal axes of inertia. Using spiral CT scanning, we can make precise measurements to bone in vivo. The coordinate transformations lead to the principal axes of inertia, with which the prime meridian and the contour can be set. Methods such as tomographic reconstruction and boundary development are employed so that the surface of bone in vivo can be mapped. Experimental results show that the surface mapping method can reflect the shape features and help study the surface changes of bone in vivo. This method can be applied to research into the surface characteristics and changes of organ, tissue or cell whenever its digitalized surface is obtained.
Highlights
The shape of bone is the result of adaptation to mechanical environment [1,2,3,4] and in return, the shape affects the structural function of bone [5,6]
This paper examines and verifies the uniqueness of principal axis of inertia (PAI) of the asymmetrically shaped and anisotropically structured bone in vivo
Three principal moments of inertia are formed relative to PAI
Summary
The shape of bone is the result of adaptation to mechanical environment [1,2,3,4] and in return, the shape affects the structural function of bone [5,6]. A map is a figure of a spherical surface drawn on a plane surface according to mathematical rules [7,8]. The boundary of a circle can be developed as a straight line. When the closed tomographic boundary is developed according to mathematical rules, the bone’s surface map is formed by a set of developed lines. The bone surface mapping, is used as an approach to study the adaptability of bone and its structural function
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