Discrete Implicit Surface Models using Interval Arithmetics

This article presents a new method for generating discrete implicit surface models using interval arithmetics. This approach is unique to our knowledge and has the advantage of profiting of voxel representation for both modelling and visualization purposes. We’ve adopted high discrete resolutions to obtain better surface represention and realistic visualisation. Interval arithmetics guarantees a good rasterization quality and calculation precision. In the surface visualization using high resolution discrete space, each voxel in this space contains the surface normal vector in the middle of the voxel for shading calculation. The advantage of using high resolution discrete spaces is that we can obtain good quality images and at the same time visualize the scene interactively.