Homogeneous light transport matrix estimation based 3D shape measurement

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 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.