167 citations · 218 across the 13 of their papers we have counts for
7 papers · 1 filter
Randomized algorithms for statistical image analysis and site percolation on square lattices
Mikhail A. Langovoy, Olaf Wittich
We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that a…
Algebraic polynomials and moments of stochastic integrals
Mikhail A. Langovoy
We propose an algebraic method for proving estimates on moments of stochastic integrals. The method uses qualitative properties of roots of algebraic polynomials from certain gener…
Multiple testing, uncertainty and realistic pictures
Mikhail A. Langovoy, Olaf Wittich
We study statistical detection of grayscale objects in noisy images. The object of interest is of unknown shape and has an unknown intensity, that can be varying over the object an…
Computationally efficient algorithms for statistical image processing. Implementation in R
Mikhail A. Langovoy, Olaf Wittich
In the series of our earlier papers on the subject, we proposed a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from…
Robust nonparametric detection of objects in noisy images
Mikhail A. Langovoy, Olaf Wittich
We propose a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from percolation theory and random graph theory. We prese…
Detection of objects in noisy images and site percolation on square lattices
Mikhail A. Langovoy, Olaf Wittich
We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that a…