Abstract | ||
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While the study of geometry has mainly concentrated on single-viewpoint (SVP) cameras, there is growing attention to more general non-SVP systems. Here we study an important class of systems that inherently have a non-SVP: a perspective camera imaging through an interface into a medium. Such systems are ubiquitous: they are common when looking into water-based environments. The paper analyzes the common flat-interface class of systems. It characterizes the locus of the viewpoints (caustic) of this class, and proves that the SVP model is invalid in it. This may explain geometrical errors encountered in prior studies. Our physics-based model is parameterized by the distance of the lens from the medium interface, beside the focal length. The physical parameters are calibrated by a simple approach that can be based on a single-frame. This directly determines the system geometry. The calibration is then used to compensate for modeled system distortion. Based on this model, geometrical measurements of objects are significantly more accurate, than if based on an SVP model. This is demonstrated in real-world experiments. In addition, we examine by simulation the errors expected by using the SVP model. We show that when working at a constant range, the SVP model can be a good approximation. |
Year | DOI | Venue |
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2012 | 10.1109/TPAMI.2011.105 | IEEE Trans. Pattern Anal. Mach. Intell. |
Keywords | Field | DocType |
calibration,physics-based model,approximation theory,3d/stereo scene analysis,perspective camera imaging,single-viewpoint cameras,important class,flat refractive geometry,prior study,general non-svp system,system geometry,svp model,single viewpoint,geometrical error,single frame,cameras,object recognition,computer vision,common flat-interface class,imaging geometry.,medium interface,geometrical measurement,system distortion,vision and scene understanding,camera calibration,geometry,atmospheric modeling,nonlinear distortion,pixel,lenses,glass | Computer vision,Computer science,Caustic (optics),Approximation theory,Focal length,Camera resectioning,Lens (optics),Artificial intelligence,Pixel,Geometry,Nonlinear distortion,Distortion | Journal |
Volume | Issue | ISSN |
34 | 1 | 1939-3539 |
ISBN | Citations | PageRank |
978-1-4244-2243-2 | 11 | 0.78 |
References | Authors | |
20 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Tali Treibitz | 1 | 178 | 13.09 |
Yoav Y. Schechner | 2 | 629 | 58.12 |
Clayton Kunz | 3 | 338 | 65.49 |
Hanumant Singh | 4 | 579 | 60.82 |