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Computational Photography with Panoramic Sensors that Have Uniform Resolution with Respect to Unwarping Transformations

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Abstract

We address the problem of designing a computational photographic system for panoramic imaging, which employs a rotationally symmetric reflector and yet produces uniform resolution images. Our design is a catadiotpric sensor, whose key component is a rotationally symmetric mirror. Catadioptric sensors have already been designed that are equiresolution with respect to solid angle, but such sensors do not take into account the effect of unwarping transformations that are typically applied to the initially recorded images. The family of catadioptric sensors that we describe may be considered as realizing area preserving/scaling cylindrical projections. We present the derivations of the equations that describe such sensors and demonstrate in simulation their properties with respect to unwarping.

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Acknowledgements

The first author was supported by NSF IIS-04-13012 and NSF DMS-09-08299, and the second by NSF IIS-04-13012.

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Authors and Affiliations

  1. Department of Mathematics, Drexel University, 3141 Chestnut Street, Philadelphia, PA, 19104, USA

    R. Andrew Hicks

  2. Gateway Systems, Boyertown, PA, 19512, USA

    Meredith Coletta

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  1. R. Andrew Hicks
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  2. Meredith Coletta
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Correspondence to R. Andrew Hicks.

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Hicks, R.A., Coletta, M. Computational Photography with Panoramic Sensors that Have Uniform Resolution with Respect to Unwarping Transformations. J Math Imaging Vis 46, 121–127 (2013). https://doi.org/10.1007/s10851-012-0373-8

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