Rapid Rectangular Grid-Based Clipping Algorithm of Surface;

Under ensuring accuracy, to improve calculating efficiency and adaptability, the calculation method of first-arrival traveltime of finite-difference is derived based on any rectangular grid and a local plane wavefront approximation.

In the reference[3],it constructs a class of bivariate rational interpolation function(BRIF) on the rectangular grids by the bivariate Newton interpolation formula,and it sets up and prove the sufficient condition of the existence of BRIF.

In this paper, making use of bivariate polynomial Lagrange interpolation formula over rectangular grids, we formulate the existing problems of bivariate rational interpolation and rational function with numerical value given.

This paper obtained the existence criterion of two classes of bivariate rational interpolation function on rectangular grids and their showing formulas.

Based on the self-organizing feature map(SOFM) neural network, an approach is developed to extract the dense 3-D scattered data and to produce the topologic rectangular mesh.