Projective Parallel Single-Pixel Imaging: 3D Structured Light Scanning
  Under Global Illumination
Yuxi Li Hongzhi Jiang Huijie Zhao Xudong Li
We present projective parallel single-pixel imaging (pPSI), a 3D photography
method that provides a robust and efficient way to analyze the light transport
behavior and enables separation of light effect due to global illumination,
thereby achieving 3D structured light scanning under global illumination. The
light transport behavior is described by the light transport coefficients
(LTC), which contain complete information for a projector camera pair, and is a
4D data set. However, the capture of LTC is generally time consuming. The 4D
LTC in pPSI are reduced to projection functions, thereby enabling a highly
efficient data capture process. We introduce the local maximum constraint,
which provides constraint for the location of candidate correspondence matching
points when projections are captured. Local slice extension (LSE) method is
introduced to accelerate the capture of projection functions. Optimization is
conducted for pPSI under several situations. The number of projection functions
required for pPSI is optimized and the influence of capture ratio in LSE on the
accuracy of the correspondence matching points is investigated. Discussions and
experiments include two typical kinds of global illuminations:
inter-reflections and subsurface scattering. The proposed method is validated
with several challenging scenarios, and outperforms the state-of-the-art
methods.