A technique for computing the electromagnetic (EM) radiation and scattering from three-dimensional (3D) conducting bodies of general shape is presented. The arbitrary surface is described by dividing it into a number of connected patches which are mathematically described as parametric quadratic surfaces. The electric field integral equation (EFIE) is discretized by the standard method of moments (MOM) with specially designed basis functions for subdomains which now contain surface curvature. The use of the basis functions on curvilinear patch reduces the number of unknowns used in MOM.