Detection of DNA Filaments in Fluorescent Microscopy Using Feature-adapted Beamlet Transform

This paper presents a new method for computing the Feature-adapted Beamlet transforms [1] in a fast and accurate way. This transform can be used for detecting features running along lines or piecewise constant curves. The main contribution of this paper is to unify the Fast Slant Stack method, introduced in [2], with linear filtering technique in order to implement the Feature-adapted Beamlet transform. If the desired feature detector is chosen to belong to the class of steerable filters, our method can be achieved in O(N log(N)), where N = n is the number of pixels. This new method leads to an efficient implementation of Feature-adapted Beamlet transforms, that outperforms our previous works [1] both in terms of accuracy and speed. Our method has been developed in the context of biological imaging to detect DNA filaments in fluorescent microscopy. Index Terms Beamlet transform, Fast slant stack, steerable filters, feature, DNA filament detection