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Road junctions are important components of a road network. However, they are usually not explicitly modelled in existing road extraction approaches. In this paper, we consider road junctions as area o...
We give a positive lower bound for the principal curvature of the strict convex level sets of harmonic functions in terms of the principal curvature of the domain boundary and the norm of the boundary...
Abstract: Let T be Takagi's continuous but nowhere-differentiable function. It is known that almost all level sets (with respect to Lebesgue measure on the range of T) are finite. We show that the mos...
A novel level set method based on on-line discriminativeappearance modeling (DAMLSM) is presented for contourtracking. In contrast with traditional level set models whichemphasize the intensity consis...
We consider a class of sparsity-inducing regularization terms based on submodular functions. While earlier work has focused on non-decreasing functions, we explore symmetric submodular functions and t...
We consider a class of sparsity-inducing regularization terms based on submodular functions. While earlier work has focused on non-decreasing functions, we explore symmetric submodular functions and t...
The Takagi function  : [0; 1] ! [0; 1] is a continuous non-di erentiable functio constructed by Takagi in 1903. This paper studies the level sets L(y) = fx :  (x) = yg of the Takagi function  (x)...
The Takagi function \tau : [0, 1] \to [0, 1] is a continuous non-differentiable function constructed by Takagi in 1903. This paper studies the level sets L(y) = {x : \tau (x) = y} of the Takagi funct...
The aim of this paper is to introduce a class of Hamiltonian autonomous systems in dimension 4 which are completely integrable and their dynamics is described in all details.
Following Hartigan [1975], a cluster is defined as a connected component of the t-level set of the underlying density, i.e., the set of points for which the density is greater than t. A clustering a...
The dimensions of the level sets of the generalized iterated Brownian motion.

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