Constructing Discrete Surface Through A Given Feature Geodesic

The grid shape covers of industrial product or animated figure,such as clothing?shoes and hats,in order to adapt its design to fashion trends and occupy market share,there are often thousands of candidate grids with different shapes to accommodate the same customer or Animated models' choices at different times,and all of these candidate meshes share the same body waist or girth,because this is a personal dimension required.But from a geometric point of view,when the leather and other material grids flatten into plane,the girth becomes a straight line,so the girth on the grid should be the first choice for the discrete geodesic.In order to solve the problem of the shape design of the known surface feature line,the subject has systematically studied and summarized the existing algorithms,then proposes an algorithm for constructing discrete surfaceswhose marching-scale functions is B-spline and the given one or more discrete curves which is as a geodesic curves.The algorithm assumes that the given discrete curve is the geodesic,and the Frenet frame of a given discrete curve is calculated to obtain the curve characteristics.Then the surface constraint condition is calculated from the geodesic characteristic,so that the B-spline satisfies the constraint condition which is designed by discretizing the constraint condition.The spline marching-scale functions are used to construct discrete surfaces.The experimental results show that the algorithm can effectively control the shape of discrete surfaces.The designer can control the shape of the B-spline marching-scale functions so that the generated discrete surfaces can meet the industrial production requirements.In actual situations,there may be multiple known curves,such as the known person's chest circumference,waist circumference,etc.According to the known data design clothes.For this topic,the algorithm is extended to the known multiple discrete geodesics.This algorithm can greatly reduce the memory occupied by the surface in the computer.The results show that the algorithm can meet most of the surface reconstruction requirements,and the measurement function can be changed to other spline functions,or curves...