The Science of Fractal Images
Algorithms for solid noise synthesis
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Pyramid-based texture analysis/synthesis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A non-parametric multi-scale statistical model for natural images
NIPS '97 Proceedings of the 1997 conference on Advances in neural information processing systems 10
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Estimating the heavy tail index from scaling properties
Methodology and Computing in Applied Probability
Computer rendering of stochastic models
Communications of the ACM
Reconstruction filters in computer-graphics
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Principles of Digital Image Synthesis
Principles of Digital Image Synthesis
New edge-directed interpolation
IEEE Transactions on Image Processing
ACM SIGGRAPH 2006 Papers
Visual calibration and correction for ambient illumination
ACM Transactions on Applied Perception (TAP)
Visual equivalence: towards a new standard for image fidelity
ACM SIGGRAPH 2007 papers
Image upsampling via imposed edge statistics
ACM SIGGRAPH 2007 papers
A real-time object detecting and tracking system for outdoor night surveillance
Pattern Recognition
The perception of simulated materials
ACM SIGGRAPH 2008 classes
Statistical regularities in low and high dynamic range images
Proceedings of the 7th Symposium on Applied Perception in Graphics and Visualization
Image statistics: from data collection to applications in graphics
ACM SIGGRAPH 2010 Courses
Single image deblurring using motion density functions
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
Colour spaces for colour transfer
CCIW'11 Proceedings of the Third international conference on Computational color imaging
Sum-of-superellipses: a low parameter model for amplitude spectra of natural images
ICIAP'11 Proceedings of the 16th international conference on Image analysis and processing: Part I
Detecting and tracking distant objects at night based on human visual system
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
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The class of all natural images is an extremely small fraction of all possible images. Some of the structure of natural images can be modeled statistically, revealing striking regularities. Moreover, the human visual system appears to be optimized to view natural images. Images that do not behave statistically as natural images are harder for the human visual system to interpret. This paper reviews second order image statistics as well as their implications for computer graphics. We show that these statistics are predominantly due to geometric modeling, while being largely unaffected by the choice of rendering parameters. As a result, second order image statistics are useful for modeling applications, which we show in direct examples (recursive random displacement terrain modeling and solid texture synthesis). Finally, we present an image reconstruction filter based on second order image statistics.