Method for fast and non iterative synthetic aperture reconstruction for 3D PIV and PTV

Three dimensional particle image velocimetry (PIV) is becoming a widely used measurement technique since the introduction of tomographic PIV by Elsinga et al. (2006). New methods such as synthetic aperture PIV have recently been demonstrated as a viable alternative to tomographic PIV, and extended for accurate 3D particle tracking velocimetry (PTV) by Bajpayee et al. in 2013. Presented here is an improvement to the synthetic aperture reconstruction technique, using a homography fit (HF) method for projecting points into a camera through refractive interfaces, that allows non iterative, accurate and significantly faster reconstruction. The underlying algorithm is computationally cheap and can be easily and massively parallelized thereby allowing further improvement in speed depending on the hardware available.