Abstract: Drawing theory is the basis of draw managing,and the ellipsoid drawing theory is widely used in production practice,but there are some deviations.By analyzing the theoretical basis of the ellipsoid drawing theory,pointed out that the ellipsoid drawing theory can′t reflect the shape of draw body changed when release conditions changed,density field is contrary to the basic premise that loose medium is continuous media,the moving transition equations of practical loose body contrary to the law of conservation of mass,the velocity field equation of practical loose body is not complete,the speed of the moving boundary is uncertain and discontinuous.On the basis,this paper discussed the connection between ellipsoid drawing theory and quasiellipsoid drawing theory,pointed out that the quasiellipsoid drawing theory is conform to reality and can be tested by theory,it contains the rational kernel of ellipsoid drawing theory,and can give all equations of ellipsoid drawing theory when n=1,m=2.Quasiellipsoid drawing theory is the important development of drawing theory.

Key words: Ellipsoid,Quasiellipsoid,Drawing theory,Deficiency,Connection