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An intuitive and sparse representation of the void space of porous materials supports the efficient analysis and visualization of interesting qualitative and quantitative parameters of such materials. We introduce definitions of the elements of this void space, here called pore space, based on its distance function, and present methods to extract these elements using the extremal structures of the distance function. The presented methods are implemented by an image processing pipeline that determines pore centers, pore paths and pore constrictions. These pore space elements build a graph that represents the topology of the pore space in a compact way. The representations we derive from μCT image data of realistic soil specimens enable the computation of many statistical parameters and, thus, provide a basis for further visual analysis and application-specific developments. We introduced parts of our pipeline in previous work. In this chapter, we present additional details and compare our results with the analytic computation of the pore space elements for a sphere packing in order to show the correctness of our graph computation.
In this paper we describe VisiTrace, a novel technique to
draw 3D lines in 3D volume rendered images. It allows to
draw strokes in the 2D space of the screen to produce 3D
lines that run on top or in the center of structures actually
visible in the volume rendering. It can handle structures
that only shortly occlude the structure that has been visible at the starting point of the stroke and is able to ignore
such structures. For this purpose a shortest path algorithm
finding the optimal curve in a specially designed graph
data structure is employed. We demonstrate the usefulness of the technique by applying it to MRI data from
medicine and engineering, and show how the method can
be used to mark or analyze structures in the example data
sets, and to automatically obtain good views toward the
selected structures.