Abstract (EN):
We propose a new method to measure changes in terrain topography from two optical stereo image pairs acquired at different
dates. The main novelty is in the ability of computing the spatial distribution of uncertainty, thanks to stochastic modeling and
probabilistic inference. Thus, scientists will have access to quantitative error estimates of local surface variation, so they can
check the statistical significance of elevation changes, and make, where changes have occurred, consistent measurements of
volume or shape evolution. The main application area is geomorphology, as the method can help study phenomena such as
coastal cliff erosion, sand dune displacement and various transport mechanisms through the computation of volume changes. It
can also help measure vegetation growth, and virtually any kind of evolution of the surface.
We first start by inferring a dense disparity map from two images, assuming a known viewing geometry. The images
are accurately rectified in order to constrain the deformation on one of the axes, so we only have to infer a one-dimensional
parameter field. The probabilistic approach provides a rigorous framework for parameter estimation and error computation, so
all the disparities are described as random variables. We define a generative model for both images given all model variables.
It mainly consists of warping the scene using B-Splines, and defining a spatially adaptive stochastic model of the radiometric
differences between the two views. The inversion, which is an ill-posed inverse problem, requires regularization, achieved
through a smoothness prior model. Bayesian inference allows us to recover disparities as probability distributions. This is done
on each stereo pair, then disparity maps are transformed into surface models in a common ground frame in order to perform the
comparison. We apply this technique to high resolution digital aerial images of the Portuguese coast to detect cliff erosion and
quantify the effects of weathering
Language:
English
Type (Professor's evaluation):
Scientific
License type: