Surface Reconstruction And Rendering Based On Matrix Weighted Rational Subdivision

Subdivision surface is an important method of geometric modeling.It not only has localities and affine invariance as NURBS,but also has the advantages of arbitrary topology and overall continuity that NURBS does not have,so it has been widely used in computer animation,digital model and other fields.Besides,subdivision also has its unique advantages in surface reconstruction and rendering graphics.This paper introduces the matrix weighted method to reconstruct the triangular models.In the process of reconstruction,we use the matrix weighted rational Loop subdivision,which uses the vertices normal to reconstruct the surface.This method can be good approximation of the original points without calculating the control points.In the aspect of error control,a method of adjusting control grid based on error feedback is proposed.In order to reduce the extreme error,we adjust the control grid according to the error of the first subdivision mesh,and the extreme error can be reduced effec-tively.Experimental results show that under the same control grid,compared with the traditional subdivision reconstruction method,the error of the matrix weighed rational Loop subdivision reconstruction surface can be significantly reduced.In addition,this article also studied the method of rendering graphics.In this paper,we present a method of rendering based on the matrix weighted rational Bezier triangles.Compared with the traditional PN triangles,the matrix weighted rational Bezier triangles are easy to calculate and have more precise normals.Besides,we intro-duce the parameter A to control the shape of matrix weighted quadratic rational Bezier triangular flexibly,with the benefits that traditional methods do not have.