 
Summary: VECTOR FIELD METRICS BASED ON DISTANCE
MEASURES OF FIRST ORDER CRITICAL POINTS
H. Theisel
T. Weinkauf
University of Rostock, Computer Science Department, D18051 Rostock, Germany
theisel@informatik.unirostock.de, http://wwwicg.informatik.unirostock.de/
Zuse Institute Berlin, Scientific Visualization Group, Takustr. 7, D14343 Berlin, Germany
weinkauf@zib.de, http://www.zib.de/visual/
ABSTRACT
Topological methods have been proven to be useful both for the visualization and the definition of
distance measures of vector fields. This paper introduces and assesses a new distance measure for
first order critical points of 2D vector fields. This distance measure forms the foundation of the
definition of vector field metrics. Based on this we give an advanced and complete classification
of all first order critical points.
Keywords: flow visualization, vector field topology, first order critical point, distant measure
1 INTRODUCTION
During the last few years the investigation of met
rics of vector fields became an interesting and
popular research topic in the visualization com
munity. A variety of applications like recon
