Modified control grid interpolation for the volumetric reconstruction of fluid flows
- 149 Downloads
Complex applications in fluid dynamics research often require more highly resolved velocity data than direct measurements or simulations provide. The advent of stereo PIV and PCMR techniques has advanced the state-of-the-art in flow velocity measurement, but 3D spatial resolution remains limited. Here a new technique is proposed for velocity data interpolation to address this problem. The new method performs with higher quality than competing solutions from the literature in terms of accurately interpolating velocities, maintaining fluid structure and domain boundaries, and preserving coherent structures.
KeywordsMean Square Error Particle Image Velocimetry Displacement Field Optical Flow Spline Interpolation
This research was supported by a grant from the National Institutes of Health (BRP grant #R01HL67622). The authors would also like to thank Dr. Mark Fogel of the Children’s Hospital of Philadelphia, Dr. Fotis Sotiropoulos of the University of Minnesota, and Dr. Liang Ge of the Georgia Institute of Technology for their valuable contributions to this work.
- Derou D, Dinten J, Herault L, Niez J (1995) Physical-model based reconstruction of the global instantaneous velocity field from velocity measurement at a few points. In: Proceedings: physics-based modeling in computer vision, p 63Google Scholar
- Frakes DH, Monaco J, Smith M (2001) Suppression of atmospheric turbulence in video using an adaptive control grid interpolation approach. In: Proceedings: international conference on acoustics, speech, and signal processing, May 2001Google Scholar
- Horn B (1968) Robot vision. The MIT Press, Cambridge, pp 280–292Google Scholar
- Karatekin O, Wang FY, Charbonnier JM (1998) Characterization of a bluff body wake using LDV and PIV techniques. In: Ninth international symposium on applications of laser techniques to fluid mechanics, July 1998Google Scholar
- Lowitzsch S (2004) Approximation and interpolation employing divergence-free radial basis functions with applications. Ph.D. thesis, Texas A&M UniversityGoogle Scholar
- Melnikov DP, Shevtsova VM (2005) Liquid particles tracing in three-dimensional buoyancy driven flows. Fluid Dyn Mater Process 1:189–199Google Scholar
- Monaco JW (1997) Motion models for video applications. Ph.D. thesis, Georgia Institute of TechnologyGoogle Scholar
- Zhao W, Sawhney H (2002) Is super-resolution with optical flow feasible?” In: Proceedings: European conference on computer vision, vol 1Google Scholar