3D image modeling based on tetrahedral domain by using wavelet transformation
Kun Hee Lee, Oubong Gwun · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1998
3D image modeling of volumetric data is highly demanded for automated visual inspection and non-destructive testing. It also can be useful to biomedical research, medical therapy, surgery planning, and simulation of critical surgery. The common problem of volumetric image data is that the amount of data is too much. This paper proposes a method which selects the important data by using wavelet transformation, and refines the constructed tetrahedral domain until the difference between the approximation and the measured value is less than the specified tolerance. The resulting interpolant can be visualized by using iso-surface rendering. We call this new algorithm as marching tetrahedra for the purpose of comparing to marching cubes algorithm. The main difference between two algorithms is tetrahedra are used instead of cubes. Therefore, we can avoid the ambiguity problem of marching cubes algorithm.