To improve the accuracy of the grating projection method of a surface shape measurement method without contact, several attempts are proposed and verified. A whole-space tabulation method (WSTM) is demonstrated to measure a translucent glittering metallic mesh of a parabolic antenna for a radio astronomy satellite. A transparence method of the grating projection method is proposed to measure a glossy polymer film often used in space structures. An extrapolation method is proposed to measure a larger object than the reference planes. A pre-calibration can be used to adjust the measured value to the real values. The extrapolation method and the pre-calibration are demonstrated to measure a displacement of a wing of a developing airplane under loading.