30 citations · 60 across the 7 of their papers we have counts for
7 papers
Coupling of Local and Nonlocal Problems Using Local Boundary Conditions
Burak Aksoylu, Fatih Celiker, Patrick Diehl
We present a novel coupling method for local and nonlocal diffusion problems in 1D. Unlike other methods, our coupling method exclusively uses local boundary conditions. This is po…
Incorporating local boundary conditions into nonlocal theories
Burak Aksoylu, Horst Reinhard Beyer, Fatih Celiker
We study nonlocal equations from the area of peridynamics on bounded domains. In our companion paper, we discover that, on , the governing operator in peridynamics, w…
On a Class of Nonlocal Wave Equations from Applications
Horst Reinhard Beyer, Burak Aksoylu, Fatih Celiker
We study equations from the area of peridynamics, which is an extension of elasticity. The governing equations form a system of nonlocal wave equations. Its governing operator is f…
Comments on "On Approximating Euclidean Metrics by Weighted t-Cost Distances in Arbitrary Dimension"
M. Emre Celebi, Hassan A. Kingravi, Fatih Celiker
Mukherjee (Pattern Recognition Letters, vol. 32, pp. 824-831, 2011) recently introduced a class of distance functions called weighted t-cost distances that generalize m-neighbor, o…
Cost-Effective Implementation of Order-Statistics Based Vector Filters Using Minimax Approximations
M. Emre Celebi, Hassan A. Kingravi, Rastislav Lukac +1
Vector operators based on robust order statistics have proved successful in digital multichannel imaging applications, particularly color image filtering and enhancement, in dealin…
Fast Color Space Transformations Using Minimax Approximations
M. Emre Celebi, Hassan Kingravi, Fatih Celiker
Color space transformations are frequently used in image processing, graphics, and visualization applications. In many cases, these transformations are complex nonlinear functions,…
On Euclidean Norm Approximations
M. Emre Celebi, Fatih Celiker, Hassan A. Kingravi
Euclidean norm calculations arise frequently in scientific and engineering applications. Several approximations for this norm with differing complexity and accuracy have been propo…