Major characteristics of the gravitational formation and evolution of cosmic structure and the emergence of the cosmic web are its 1) hierarchical nature, 2) the anisotropic morphology of forming structures and 3) the emergence
of large near-empty void regions.
Each of these three aspects are succesfully analyzed by means of DTFE based structure identification techniques. The Delaunay Tessellation Field Estimator (DTFE), is a fully self-adaptive method for processing and extracting information on structure and dynamics of discretely sampled structures exploiting the natural adaptivity of Voronoi and Delaunay tessellations.
The DTFE forms the basis for the Multiscale Morphology Filter formalism for identifying filamentary and sheetlike matter concentrations and the Watershed Void Finder technique for analysis of the hierarchy of voids in the cosmic matter distribution. The lecture will present and describe the MMF, and their use illustrated by means of a recent study of environmental effects in the formation of galaxies.