Three-dimensional surface reconstruction of human bone using a [formula omitted]-spline based interpolation approach

Abstract

An effective method for the 3D Bio-CAD model reconstruction of human bone from a scanned point cloud data or a sequence of CT image data is presented based on a B -spline interpolation scheme. In the method, a base surface is generated by creating a smooth implicit surface from the given point cloud data or a sequence of CT image data. The implicit surface is defined by a combination of the well-known thin plate radial basis functions (RBFs) using the domain decomposition method (DDM). After generating the base implicit surface, various types of CAD models such as surface and solid are constructed by using the base implicit surface. In order to reconstruct a complex model, voxel data which can be extracted easily from the base implicit surface are used to generate a rectangular curve net with good quality using the projection and smoothing scheme. After generating the interior points and tangential vectors in each rectangular region considering the required accuracy, a complex B -spline surface is reconstructed by interpolating the rectangular array of points. Experimental results show that the proposed method creates the three dimensional shapes of human bones suitable for bone scaffold design, finite element analysis, and medical diagnosis.