—Morse decomposition provides a numerically stable topological representation of vector fields that is crucial for their rigorous interpretation. However, Morse decomposition is ...
Guoning Chen, Qingqing Deng, Andrzej Szymczak, Rob...
Modern simulation and measurement methods tend to produce meshfree data sets if modeling of processes or objects with free surfaces or boundaries is desired. In Computational Flui...
This paper presents an approach to a time-dependent variant of the concept of vector field topology for 2-D vector fields. Vector field topology is defined for steady vector field...
This paper introduces a framework that guides the design of stabilizing feedback control laws for systems with Pfaffian constraints. A new class of N-dimensional vector fields, the...
Dimitra Panagou, Herbert G. Tanner, Kostas J. Kyri...
The visualization of vector fields has attracted much attention over the last decade due to the vast variety of applications in science and engineering. Topological methods have b...
Gerik Scheuermann, Bernd Hamann, Kenneth I. Joy, W...
We introduce a scheme of control polygons to design topological skeletons for vector fields of arbitrary topology. Based on this we construct piecewise linear vector fields of exa...
This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be c...
Abstract-- This paper introduces orthogonal vector field visualization on 2D manifolds: a representation by lines that are perpendicular to the input vector field. Line patterns ar...
Vector field segmentation methods usually belong to either of three classes: methods which segment regions homogeneous in direction and/or norm, methods which detect discontinuiti...
Tristan Roy, Eric Debreuve, Michel Barlaud, Gilles...
In this paper, we propose to focus on the segmentation of vectorial features (e.g. vector fields or color intensity) using region-based active contours. We search for a domain that...