Minimizing Variational Curves Restricted to a Preassigned Set
نویسنده
چکیده
منابع مشابه
Existence of set-interpolating and energy-minimizing curves
We consider existence of curves c : [0, 1] → R which minimize an energy of the form ∫ ‖c‖ (k = 1, 2, . . . , 1 < p < ∞) under side-conditions of the form Gj(c(t1,j), . . . , c (tk,j)) ∈ Mj , where Gj is a continuous function, ti,j ∈ [0, 1], Mj is some closed set, and the indices j range in some index set J . This includes the problem of finding energy minimizing interpolants restricted to surfa...
متن کاملVARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
In this paper, He‘s variational iteration method is applied to Fredholm integral equations of the second kind. To illustrate the ability and simplicity of the method, some examples are provided. The results reveal that the proposed method is very effective and simple and for first fourth examples leads to the exact solution.
متن کاملStrong convergence of variational inequality problem Over the set of common fixed points of a family of demi-contractive mappings
In this paper, by using the viscosity iterative method and the hybrid steepest-descent method, we present a new algorithm for solving the variational inequality problem. The sequence generated by this algorithm is strong convergence to a common element of the set of common zero points of a finite family of inverse strongly monotone operators and the set of common fixed points of a finite family...
متن کاملImage Segmentation with a Sobolev Gradient Method
The most effective methods for finding object boundaries in a digital image involve minimizing a functional over a set of curves or surfaces, where the functional includes internal energy terms for regularization and external energy terms that allign the curves or surfaces with object boundaries. Current practice is to seek critical points of the energy functional by what amounts to a steepest ...
متن کاملVariational collision avoidance problems on Riemannian manifolds
In this article we introduce a variational approach to collision avoidance of multiple agents evolving on a Riemannian manifold and derive necessary conditions for extremals. The problem consists of finding non-intersecting trajectories of a given number of agents, among a set of admissible curves, to reach a specified configuration, based on minimizing an energy functional that depends on the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010