For semi-hollow spheroid heat equipment and infinite half-cylinder heat equipment,according to the boundary conditions of the interface,the outer surface temperature distribution function by the infrared scanning is extended to the whole spherical and cylindrical surface by the analytical continuation.The method that the internal state of spheroid heat equipment and cylinder heat equipment is diagnosed by the infrared temperature measurement is popularized to semi-hollow spheroid heat equipment and infinite half-cylinder heat equipment,which provides the theoretical basis for testing internal temperature distribution and inner defect．