Easier access to X‐ray microtomography (μCT) facilities has provided much new insight
from high‐resolution imaging for various problems in porous media research. Pore space …

Urban land use information is essential for a variety of urban-related applications such as
urban planning and regional administration. The extraction of urban land use from very fine …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus
of Variations | SpringerLink Skip to main content Advertisement Springer Nature Link Account …

Nondestructive imaging methods such as X‐ray computed tomography (CT) yield high‐
resolution, three‐dimensional representations of pore space and fluid distribution within …

We propose a Markov random field (MRF) image segmentation model, which aims at
combining color and texture features. The theoretical framework relies on Bayesian …

This paper reports on recent advances at the micro-computed tomography facility at the
Australian National University. Since 2000 this facility has been a significant centre for …

Natural rock, such as sandstone, has a large number of discontinuous, multi-scale, geometry-
irregular pores, forming a complex porous structure. This porous structure essentially …

We present a supervised classification model based on a variational approach. This model
is devoted to find an optimal partition composed of homogeneous classes with regular …

We present a variational model devoted to image classification coupled with an edge-
preserving regularization process. The discrete nature of classification (ie, to attribute a label …