Estimating camera response functions using probabilistic intensity similarity

We propose a method for estimating camera response functions using a probabilistic intensity similarity measure. The similarity measure represents the likelihood of two intensity observations corresponding to the same scene radiance in the presence of noise. We show that the response function and the intensity similarity measure are strongly related. Our method requires several input images of a static scene taken from the same viewing position with fixed camera parameters. Noise causes pixel values at the same pixel coordinate to vary in these images, even though they measure the same scene radiance. We use these fluctuations to estimate the response function by maximizing the intensity similarity function for all pixels. Unlike prior noise-based estimation methods, our method requires only a small number of images, so it works with digital cameras as well as video cameras. Moreover, our method does not rely on any special image processing or statistical prior models. Real-world experiments using different cameras demonstrate the effectiveness of the technique.

[1]  Stephen Lin,et al.  A Probabilistic Intensity Similarity Measure based on Noise Distributions , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[2]  Edward Courtney,et al.  2 = 4 M , 1993 .

[3]  Shree K. Nayar,et al.  High dynamic range imaging: spatially varying pixel exposures , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[4]  Takeo Kanade,et al.  Statistical Calibration of the CCD Imaging Process , 2001, ICCV.

[5]  Marc Pollefeys,et al.  Radiometric alignment of image sequences , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[6]  Steve Mann,et al.  ON BEING `UNDIGITAL' WITH DIGITAL CAMERAS: EXTENDING DYNAMIC RANGE BY COMBINING DIFFERENTLY EXPOSED PICTURES , 1995 .

[7]  Jitendra Malik,et al.  Recovering high dynamic range radiance maps from photographs , 1997, SIGGRAPH '08.

[8]  Shree K. Nayar,et al.  Radiometric self calibration , 1999, Proceedings. 1999 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No PR00149).

[9]  Steve Mann,et al.  Comparametric equations with practical applications in quantigraphic image processing , 2000, IEEE Trans. Image Process..

[10]  J. F. Reid,et al.  RGB calibration for color image analysis in machine vision , 1996, IEEE Trans. Image Process..

[11]  Yasuyuki Matsushita,et al.  An Intensity Similarity Measure in Low-Light Conditions , 2006, ECCV.

[12]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[13]  Stephen Lin,et al.  Determining the radiometric response function from a single grayscale image , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[14]  Shree K. Nayar,et al.  What is the space of camera response functions? , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[15]  Stephen Lin,et al.  Radiometric Calibration from Noise Distributions , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[16]  Stephen Lin,et al.  Radiometric calibration from a single image , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[17]  Glenn Healey,et al.  Radiometric CCD camera calibration and noise estimation , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[18]  Shree K. Nayar,et al.  What Can Be Known about the Radiometric Response from Images? , 2002, ECCV.

[19]  Nebojsa Jojic,et al.  Probability models for high dynamic range imaging , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[20]  Richard Szeliski,et al.  Noise Estimation from a Single Image , 2006, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06).