We introduce Homogeneous Light Transport (HLT) Matrix for efficient 3D measurements. Which is an extension of the Light Transport (LT) matrix. The LT Matrix is a model of light transportation between a projector and a camera. It describes weights for all combinations of the projector pixels and the camera pixels. The HLT Matrix includes background lights information with LT Matrix. By using the HLT Matrix, we can estimate LT Matrix without backgrounds measurement. In the traditional methods, it is assumed that the light ray reflects only once in the scene. However, in the actual scenes, it may reflect multiple times due to specular reflections or subsurface scatterings; thus 3D measurement may become difficult in some cases. The LT Matrix can express multiple times reflection. In this paper, we demonstrate that 3D points can be measured by using '1-pixel projection' and considering the epipolar geometry, for measurement targets which are difficult to measure by traditional methods. This measurement is the same as the measurement using the LT Matrix approach. We use a compressive sensing method for estimation to reduce the number of projection and capture.