5 papers
Neuronal graphs: a graph theory primer for microscopic, functional networks of neurons recorded by Calcium imaging
Carl J. Nelson, Stephen Bonner
Connected networks are a fundamental structure of neurobiology. Understanding these networks will help us elucidate the neural mechanisms of computation. Mathematically speaking th…
Combining Mathematical Morphology and the Hilbert Transform for Fully Automatic Nuclei Detection in Fluorescence Microscopy
Carl J. Nelson, Philip T. G. Jackson, Boguslaw Obara
Accurate and reliable nuclei identification is an essential part of quantification in microscopy. A range of mathematical and machine learning approaches are used but all methods h…
Curvilinear Structure Enhancement by Multiscale Top-Hat Tensor in 2D/3D Images
Shuaa S. Alharbi, Cigdem Sazak, Carl J. Nelson +1
A wide range of biomedical applications requires enhancement, detection, quantification and modelling of curvilinear structures in 2D and 3D images. Curvilinear structure enhanceme…
Imaging the Developing Heart: Synchronized Timelapse Microscopy During Developmental Changes
Carl J. Nelson, Charlotte Buckley, John J. Mullins +2
How do you use imaging to analyse the development of the heart, which not only changes shape but also undergoes constant, high-speed, quasi-periodic changes? We have integrated ide…
The Multiscale Bowler-Hat Transform for Vessel Enhancement in 3D Biomedical Images
Cigdem Sazak, Carl J. Nelson, Boguslaw Obara
Enhancement and detection of 3D vessel-like structures has long been an open problem as most existing image processing methods fail in many aspects, including a lack of uniform enh…