We introduce the heat method for computing the geodesic distance to a specified subset (eg,
point or curve) of a given domain. The heat method is robust, efficient, and simple to …

We present a novel framework for finite element particle-in-cell methods based on the
discretization of the underlying Hamiltonian structure of the Vlasov–Maxwell system. We …

The field of discrete calculus, also known as" discrete exterior calculus", focuses on finding a
proper set of definitions and differential operators that make it possible to operate the …

Magnetohydrodynamic turbulence is important in many high-energy astrophysical systems,
where instabilities can amplify the local magnetic field over very short timescales …

We present an explicit method to compute a generalization of the Fourier Transform on a
mesh. It is well known that the eigenfunctions of the Laplace Beltrami operator (Manifold …

An introduction to geometry processing using discrete exterior calculus (DEC), which
provides a simple, flexible, and efficient framework for building a unified geometry …

Shape analysis plays a pivotal role in a large number of applications, ranging from
traditional geometry processing to more recent 3D content management. In this scenario …

We present a method for constructing smooth n-direction fields (line fields, cross fields, etc.)
on surfaces that is an order of magnitude faster than state-of-the-art methods, while still …

We introduce an algorithm for reconstructing watertight surfaces from unoriented point sets.
Using the Voronoi diagram of the input point set, we deduce a tensor field whose principal …

Visual Computing for Medicine, Second Edition, offers cutting-edge visualization techniques
and their applications in medical diagnosis, education, and treatment. The book includes …