Algorithms for extracting hydrologic features and properties from digital elevation models (DEMs) are challenged by large datasets, which often cannot fit within a computer’s RAM. Depression filling is an important preconditioning step to many of these algorithms. Here, I present a new, linearly-scaling algorithm which parallelizes the Priority-Flood depression-filling algorithm by subdividing ...

It is typical of most complex systems that the only quantitative statements that can be made analytically are those relating to their scaling properties which are usually nontrivial. Life, and, in particular, its amazing diversity spanning more than 21 orders of magnitude in size, is the most complex physical system in the universe. In spite of this, biological systems obey a host of remarkably...

In this article, we study the effect of small-cut elements on critical time-step size in an immersogeometric context. We analyze different formulations for second-order (membrane) and fourth-order (shell-type) equations, derive scaling relations between cut-element various types cuts. particular, focus approaches weak imposition Dirichlet conditions: by penalty enforcement with Nitsche's method...

In this paper we propose a natural approach to handle imprecise numbers as they arise for example from measurements. Fuzzy sets turn out to be a canonical representation for such imprecise numbers that are induced by taking diierent tolerance or error bounds into account. Fuzzy sets are induced by scaling factors that describe the magnitude of the imprecision. On the other, the scaling factors ...

We demonstrate a scaling method for non-Markovian Monte Carlo wave-function simulations used to study open quantum systems weakly coupled to their environments. We derive a scaling equation, from which the result for the expectation values of arbitrary operators of interest can be calculated, all the quantities in the equation being easily obtainable from the scaled Monte Carlo wave-function si...

Allometric scaling relationships enable exploration of animal space-use patterns, yet interspecific studies cannot address many of the underlying mechanisms. We present the first intraspecific study of home range (HR) allometry relative to energetic requirements over several orders of magnitude of body mass, using as a model the predatory fish, pike Esox lucius. Analogous with interspecific stu...

The interevent time distribution characterizes the temporal occurrence in seismic catalogs. Universal scaling properties of this distribution have been evidenced for entire catalogs and seismic sequences. Recently, these universal features have been questioned and some criticisms have been raised. We investigate the existence of universal scaling properties by analyzing a Californian catalog an...

(a) Input image (b) Scaling (c) Visibility map for (d) (d) Seam carving (e) Visibility map for (f) (f) Seam carving energy terms (distortion energy: absolute magnitude distance, nD = 1) (g) Visibility map for (h) (h) Distortion energy: absolute magnitude distance, nD = 1; unary with nU = 1 (i) Visibility map for (j) (j) Distortion energy: absolute magnitude distance, nD = 1; seam term: repeat c...