One hundred years after the introduction of the Bernstein polynomial basis, we survey the
historical development and current state of theory, algorithms, and applications associated …

This paper surveys the construction, properties, and applications of generalized barycentric
coordinates on polygons and polyhedra. Applications include: surface mesh parametrization …

In this article, we present an optimization-based framework for multicopter trajectory
planning subject to geometrical configuration constraints and user-defined dynamic …

Model Predictive Control (MPC), the dominant advanced control approach in industry over
the past twenty-five years, is presented comprehensively in this unique book. With a simple …

Constructing a function that interpolates a set of values defined at vertices of a mesh is a
fundamental operation in computer graphics. Such an interpolant has many uses in …

We present a one‐parameter family of approximation schemes, which we refer to as local
maximum‐entropy approximation schemes, that bridges continuously two important limits …

Mesh parameterization is a powerful geometry processing tool with numerous computer
graphics applications, from texture map** to animation transfer. This course outlines its …

Convection-diffusion-reaction equations model the conservation of scalar quantities. From
the analytic point of view, solutions of these equations satisfy, under certain conditions …

In this paper, a novel Delaunay-based variational approach to isotropic tetrahedral meshing
is presented. To achieve both robustness and efficiency, we minimize a simple mesh …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …