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VG
2001
14 years 1 months ago
Topology-Guided Downsampling
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...
Martin Kraus, Thomas Ertl
VISUALIZATION
1991
IEEE
14 years 3 months ago
A Tool for Visualizing the Topology of Three-Dimensional Vector Fields
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...
Al Globus, C. Levit, T. Lasinski
SIGGRAPH
1997
ACM
14 years 4 months ago
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
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...
Barton T. Stander, John C. Hart
VISUALIZATION
1997
IEEE
14 years 4 months ago
Visualization of higher order singularities in vector fields
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...
Gerik Scheuermann, Hans Hagen, Heinz Krüger, ...
SCALESPACE
1999
Springer
14 years 4 months ago
Calculations on Critical Points under Gaussian Blurring
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...
Arjan Kuijper, Luc Florack
VISUALIZATION
1999
IEEE
14 years 4 months ago
Collapsing Flow Topology Using Area Metrics
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...
Wim C. de Leeuw, Robert van Liere
ICCV
1999
IEEE
14 years 4 months ago
Subpixel-Precise Extraction of Watersheds
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...
Carsten Steger
ICRA
2000
IEEE
99views Robotics» more  ICRA 2000»
14 years 4 months ago
Exact Cellular Decompositions in Terms of Critical Points of Morse Functions
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...
Howie Choset, Ercan U. Acar, Alfred A. Rizzi, Jona...
VISUALIZATION
2002
IEEE
14 years 5 months ago
Computing Singularities of 3D Vector Fields with Geometric Algebra
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...
Stephen Mann, Alyn P. Rockwood
ICPR
2002
IEEE
14 years 5 months ago
Segmentation of Vector Fields by Critical Point Analysis: Application to Brain Deformation
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, ...
Gert Wollny, Marc Tittgemeyer, Frithjof Kruggel