The Algorithms And Modeling Of Lunar Geometry

Lunar is the neighbor of earth, it can help us to understand the origin and evolution of theuniverse by exploring the Lunar. It is very significant for us to get accurate lunar model andbetter study the resources on the surface of lunar that estimating the geodetic parametersaccurately using the exploration data from Lunar.This paper is to fit the lunar model using more than all the data points measured fromCE-1laser altimete and study the new method of calculating geodetic parameters to get amodel close to the natural surface of lunar better.There are three contents in this paper:First, we study the previous reference model of luanr, parameter calculation methods anddata cover domain, then propose triaxial ellipsoid to fit the lunar, and constructe a modelalgorithm based adaptive genetic algorithm. Fitting result indicates that our triaxial ellipsoidis same to the historical value, so as to verify the effectiveness of our algorithm.Second, we calculate the general forms of quadratic surface of Luanr.Experiments showthat the general mode is same to the triaxial ellipsoid, so as to verify effectiveness of triaxialellipsoid, but it is more in line with the Lunar’s actual terrain.Third, sampled data from CE-1is the world’s widest coverage of laser altimeter data, sofar, but it can’t achieve global coverage, this paper get more interpolation data using cubicspline according to the characteristics of the sample data, propose B-spline surfaceinterpolation method for getting broader model of the surface, and experiments show that thismethod can generate smooth surface models with good visual effects.