Background Blood vessel segmentation is a topic of high interest in medical image analysis
since the analysis of vessels is crucial for diagnosis, treatment planning and execution, and …

The VPH/Physiome Project is developing the model encoding standards CellML (cellml. org)
and FieldML (fieldml. org) as well as web-accessible model repositories based on these …

Computational Fluid Mechanics and Heat Transfer, Fourth Edition is a fully updated version
of the classic text on finite-difference and finite-volume computational methods. Divided into …

This introductory graduate text is based on a graduate course the author has taught
repeatedly over the last ten years to students in applied mathematics, engineering sciences …

Efficient path-planning algorithms are a crucial issue for modern autonomous underwater
vehicles. Classical path-planning algorithms in artificial intelligence are not designed to deal …

We derive a Godunov-type numerical flux for the class of strictly convex, homogeneous
Hamiltonians that includes H(p,q)=ap^2+bq^2-2cpq, c^2<ab. We combine our Godunov …

A wide range of computer vision applications require an accurate solution of a particular
Hamilton-Jacobi (HJ) equation, known as the Eikonal equation. In this paper, we propose an …

We develop a family of fast methods for approximating the solutions to a wide class of static
Hamilton--Jacobi PDEs; these fast methods include both semi-Lagrangian and fully Eulerian …

Many algorithms have been suggested for the shape-from-shading problem, and some
years have passed since the publication of the survey paper by Zhang et al.[R. Zhang, P.-S …

We present a new interactive method for tubular structure extraction. The main application
and motivation for this work is vessel tracking in 2D and 3D images. The basic tools are …