We present parallel single-pixel imaging (PSI), a photography technique that captures light transport coefficients and enables the separation of direct and global illumination, to achieve 3D shape reconstruction under strong global illumination. PSI is achieved by extending single-pixel imaging (SI) to modern digital cameras. Each pixel on an imaging sensor is considered an independent unit that can obtain an image using the SI technique. The obtained images characterize the light transport behavior between pixels on the projector and the camera. However, the required number of SI illumination patterns generally becomes unacceptably large in practical situations. We introduce local region extension (LRE) method to accelerate the data acquisition of PSI. LRE perceives that the visible region of each camera pixel accounts for a local region. Thus, the number of detected unknowns is determined by local region area, which is extremely beneficial in terms of data acquisition efficiency. PSI possesses several properties and advantages. For instance, PSI captures the complete light transport coefficients between the projector–camera pair, without making specific assumptions on measured objects and without requiring special hardware and restrictions on the arrangement of the projector–camera pair. The perfect reconstruction property of LRE can be proven mathematically. The acquisition and reconstruction stages are straightforward and easy to implement in the existing projector–camera systems. These properties and advantages make PSI a general and sound theoretical model to decompose direct and global illuminations and perform 3D shape reconstruction under global illumination.

我们提出了并行单像素成像（PSI），这是一种摄影技术，可捕获光传输系数并实现直接照明和全局照明的分离，从而在强全局照明下实现3D形状重建。通过将单像素成像（SI）扩展到现代数码相机来实现PSI。成像传感器上的每个像素被认为是一个独立的单元，可以使用SI技术获得图像。所获得的图像表征了投影仪和相机上像素之间的光传输行为。然而，在实际情况下，所需的SI照明图案的数量通常变得过大。我们引入局域扩展（LRE）方法来加速PSI的数据采集。LRE认为每个相机像素的可见区域占一个局部区域。从而，检测到的未知数的数量由本地区域确定，这在数据采集效率方面非常有利。PSI具有几个属性和优点。例如，PSI捕获了投影机-摄像机对之间的完整光传输系数，而无需对被测物体做出特定假设，也不需要特殊的硬件和投影机-摄像机对的布置限制。LRE的完美重建特性可以通过数学证明。采集和重建阶段非常简单，并且易于在现有的投影机-摄像机系统中实施。这些特性和优点使PSI成为分解直接和全局照明并在全局照明下执行3D形状重建的通用且合理的理论模型。