Volume rendering has wide applications in some areas such as medical imaging and scientific visualization. But the algorithm of volume rendering can not be still put into use in practical medical imaging applications

simply because it could not meet the speed requirement for interactive operation due to the large amount computation involved. At present

many researchers are working hard to study the foundation of accelerating algorithms. In order to resolve the volume rendering speed problem in 3D visualization of medical image

this paper analyses the theory of the 3D Regular Data Set' resampling and introduces the way to realize it in details. Since the shapes of some object to be reconstructed are close to sphere

this paper presents a new data Set' resampling method

which adopts the round box depending on the object. The results of the 3D visualization

which are about the human heads and eyes

are given in this paper. The experiment result shows that method effectively reduces the calculating time

and at the same time makes the calculation of the point of intersection more simply.