Shear-Warp Rendering Algorithm Based on Radial Basis Functions Interpolation

The shear-warp algorithm is considered as one of the most fastest algorithms in volume rendering. However, it achieves such speed at the price of reduced image quality. During the shear-warp resampling process, the sampling distance varies as the viewing orientation varies, and at some viewing angles, the more larger distance would result in the image-aliasing phenomenon in the resulting image and affect the rendering quality of image. To weaken the aliasing phenomenon effectly, this paper present a new interpolation method based on multiquadric method which is one of the radial basis functions interpolation. In this method, we construct a curve from four original and adjacent sampling points along the prime view orientation, and then a new sampling point is obtained in this curve and used to construct new slices, which are added into original slices. Finally, a new 3D data field can be got. Based on this new data field, shear-warp rendering could significantly improve the image quality and obviously reduce the aliasing phenomenon.