Bonemodeling using the morton space-filling curve

We introduce an algorithm for obtaining a geometric bone model suitable for the analysis of bone mechanical properties. In the bone model construction, we use new patterns of the familiar Morton curve, a class of Space Filling Curves. By extending a previous idea for the Hilbert curve, we derive new curve patterns used two construct the space filling curve in the bone model. We show the utility in bone modeling by means of an algorithm that generates the Morton curve and efficiently compute the bone properties such as density, Young’s modulus and Poisson's ratio. The algorithm was implemented in AutoLISP language and tested in the AutoCAD system. The algorithm and the new curve patterns offer an efficient tool for analyzing bone properties.