Implementation Of Agrithorm About Blending Smootly Of Three Quadratic Surfaces

Blending surfaces is one of the core contents in Computer Aided Geometric Design, which gives the spacial surfaces modeling to the theorical guarteens. In this paper, we discuss parameterization of implicit blending algebraic surfaces of three quadratic surfaces. We get the complicated mathematical formulas by Maple and develop a software which has a friedly interface by OpenGL and C++. We can implement the intricate process about blending surfaces of three quadratic surfaces by modifying the parameters. We can display the intuitionistic images expediently by moving mouse on it.There are many works to do in the question about converting the intricate algrithom to the concrete application and developing an effective software.We must not only master the algorithm itself but also learn many developing tools, such as: Maple,Matlab,OpenGL,C++ and so on . In this paper, We Firstly solve the problem about converting intricate mathematical formulas.Let blending surfaces of three cylinders whose axes are in the same plane be an example and S ( f ) be the algebracic surfaces whose expression is f ( x, y,z) =0. At first ,we compute the expressions of x,y and z aboutθ,θ12,θ23,θ31, r1 , r2 , r3 , d 1, d 2 and d 3 by Maple so that we can get the values of x,y and z easily by C++.Then we can convert the values in the affine system to the values in the right system.Whereθ12,θ23andθ31 are the angles between cylinder one ,cynlinder two ,and cylinder three respectively ,where...