VG
2001
13 years 6 months ago
2001
We present a new downsampling method for structured volume grids, which preserves much more of the topology of a scalar field than existing downsampling methods by preferably selec...
VISUALIZATION
1991
IEEE
13 years 8 months ago
1991
IEEE
We describe a software system, TOPO, that numerically analyzes and graphically displays topological aspects of a three dimensional vector field, v, to produce a single, relativel...
SIGGRAPH
1997
ACM
13 years 8 months ago
1997
ACM
Morse theory shows how the topology of an implicit surface is affected by its function’s critical points, whereas catastrophe theory shows how these critical points behave as th...
VISUALIZATION
1997
IEEE
13 years 8 months ago
1997
IEEE
We present an algorithm for the visualization of vector field topology based on Clifford algebra. It is the first method allowing the detection of higher order singularities. Th...
SCALESPACE
1999
Springer
13 years 8 months ago
1999
Springer
Abstract. The behaviour of critical points of Gaussian scale-space images is mainly described by their creation and annihilation. In existing literature these events are determined...
VISUALIZATION
1999
IEEE
13 years 8 months ago
1999
IEEE
Visualization of topological information of a vector field can provide useful information on the structure of the field. However, in turbulent flows standard critical point visual...
ICCV
1999
IEEE
13 years 9 months ago
1999
IEEE
An approach to extract watersheds and watercourses, as well as their corresponding valleys and hills, from images with subpixel precision is proposed. The critical points of the t...
ICRA
2000
IEEE
13 years 9 months ago
2000
IEEE
Exact cellular decompositions are structures that globally encode the topology of a robot's free space, while locally describing the free space's geometry. These structu...
VISUALIZATION
2002
IEEE
13 years 9 months ago
2002
IEEE
Critical points of a vector field are key to their characterization. Not only their positions but also their indexes are crucial for understanding vector fields. Considerable wo...
ICPR
2002
IEEE
13 years 9 months ago
2002
IEEE
MRI examinations may be used to monitor the progress of neurological disease. Arising structural changes can then be quantified using non-rigid registration procedures. However, ...