Three-dimensional medical image modeling of scattered data by using wavelet-based criterion

Computerized Tomography medical images contain significant low intensity black regions along image boundaries. This paper discusses the visualization method by using wavelet based data dependent criterion: The wavelet based criterion is minimizing the difference of wavelet coefficients across the common face. In the first procedure, the important data are selected based on the coefficients of wavelet from the cuberille data. Marching cubes method is not appropriate when the data are scattered data. Data dependent terahedrization is one of pre-processing steps for trivariate scattered data interpolation. The quality of an interpolation depends not only on the distribution of the data point in 3-D space, but also on the data values. We apply wavelet-based criterion for each tetrahedron. To achieve the smooth transition, we minimize the difference. between each adjacent surface to achieve a nearly C-1. Minimizing the difference of wavelet coefficients is related to achieve the smooth transition. Simulated annealing algorithm is employed to achieve the global optimum for a wide class of optimization criteria. The results of trivariated scattered data interpolation is visualized through an iso-surface rendering. The visualization algorithm of this study was implemented on an 02 workstation of Silicon Graphics Systems.