In this paper a framework for defining scale-spaces, based on the computational geometry concepts of α-shapes, is proposed. In this approach, objects (curves or surfaces) of increasing convexity are computed by selective sub-sampling, from the original shape to its convex hull. The relationships with the Empirical Mode Decomposition (EMD), the curvature motion-based scale-space and some operato...

Unmanned Aerial Vehicles (UAVs) equipped with LiDAR, electro-­‐optical and infrared cameras, SAR and atmospheric sensors have transformed the way we acquire high spatio-­‐ temporal resolution data. For example, UAVs equipped with these sensors have been able to obtain topography at resolutions of less than one meter, revolutionizing earth sciences. Surface processes act at spatial scales on the...

\Dimensionality" has recently been shown to be an important property in image measurement and image processing operators. It is often thought that morphological operations on an image with \volumic" (non-at) structuring elements lead to the breakdown of dimensionality. After a brief review of a new morphological scale-space, we show here that any dimensional functional of the scale-space image ...

The question of the physical nature of gauge fields is revisited in the framework of the theory of scale relativity, first in the Abelian case (quantum electrodynamics), then in the non-Abelian case (SU(2) and more general fields). Space-time is described as a non-differentiable and fractal continuous manifold (i.e., it is explicitly dependent on the scale of resolution). The gauge fields can t...

In this paper we propose a new class of tree machines, called generalized compressed tree machines. Generalized compressed tree machines are obtained from complete binary tree machines by performing certain`con-traction' operations. A generalized compressed tree machine of height h has approximately 25% less number of processors than a complete binary tree of height h. We show that these machin...

In this paper connected operators from mathematical morphology are extended to a wider class of operators, which are based on connectivities in higher dimensional spaces, similar to scale spaces, which will be called attribute-spaces. Though some properties of connected filters are lost, granulometries can be defined under certain conditions, and pattern spectra in most cases. The advantage of ...

Some of the main research questions in the assessment ecosystem services include how to integrate ecological and social information into the analysis and how to make it spatially explicit. We mapped six ecosystem services delivered by forests in the Sierra Nevada Mountains (south-east Spain) from the supplyto the demand-sides, taking into account the influence of protected areas on the capacity...

At present, dealing with the piracy and tampering of images has become a notable challenge, due to the presence of smart mobile gadgets. In this paper, we propose a novel watermarking algorithm based on non-subsampled contourlet transform (NSCT) for improving the security aspects of such images. Moreover, the fusion of feature searching approach with watermarking methods has gained prominence i...

This paper presents a decomposition scheme for a large class of greyscale structuring elements from mathematical morphology. In contrast with many existing decomposition schemes, our method is valid in the continuous domain. Conditions are given under which this continuous method can be properly discretized. The class of functions that can be decomposed with our method contains the class of qua...

Tidal inlets are part of the coastal sediment-sharing system, and an inlet will modify the nearshore and estuary morphology, as well as the up-drift and down-drift beaches. Morphologic response to an inlet varies over several time and spatial scales. This chapter discusses inlet morphology and related functional design considerations that must balance navigation and shoreprotection requirements...