Fractals everywhere
Texturing and Modeling: A Procedural Approach
Texturing and Modeling: A Procedural Approach
On Advances in Statistical Modeling of Natural Images
Journal of Mathematical Imaging and Vision
Infinitely Divisible Cascades to Model the Statistics of Natural Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Enlargement or reduction of digital images with minimum loss of information
IEEE Transactions on Image Processing
Virtual Super Resolution of Scale Invariant Textured Images Using Multifractal Stochastic Processes
Journal of Mathematical Imaging and Vision
| Hi-index | 0.00 |
We present a new method of magnification for textured images featuring scale invariance properties. The procedure preserves the visual aspect as well as the statistical properties of the initial image. An augmentation of information is performed by locally adding small scale details below the initial pixel size. This is made possible thanks to a family of scale invariant stochastic processes, namely compound Poisson cascades. This extrapolating procedure yields a potentially infinite number of magnified versions of an image. It allows for large magnification factors (virtually infinite) and is physically conservative: zooming out to the initial resolution yields the initial image back. This work is motivated by an application to images of the quiet Sun to quantitatively predict statistical and visual properties of images taken by a forthcoming high resolution telescope.