Minkowski functionals constitute a family of order parameters which discriminate spatial patterns according to size, shape, and connectivity. Here we point out that these scalar descriptors can be complemented by vector-valued curvature measures also known as Quermaß vectors. Using examples of galaxy clusters, we demonstrate that the Quermaß vectors provide additional morphological information on directional features and symmetries displayed by spatial data.
Physica A Statistical Mechanics and its Applications
- Pub Date:
- April 2001
- Physics - Data Analysis;
- Statistics and Probability
- 14 pages, Latex, to appear in Physica A