Sentence examples for a set representation from inspiring English sources
Let S (C, P) be a set representation of Φ(C, P) where i is contained in S (C, P) iff the i-th element of Φ(C, P) is 1.
Initial guesses are chosen from a direct imaging algorithm, multiple signal classification (MUSIC), along with a level set representation at a certain wavenumber, where the Born approximation may not be valid.
The present work addresses the issue of using a level set representation when there are simple geometrical and topological constraints.
The method is based on weighted condition number mesh relaxation with the weight function computed from a level set representation of the interface.
This method, called the "projection" method, uses both a classical discretization of the surface of the crack (segments for 2d cracks and triangles for 3d cracks) and a level set representation of the crack.
Our approach aims at extending geometrical flexibility of standard mesh moving/front tracking methods by introducing an additional implicit level set representation of the geometry under consideration.
We argue that in order to properly rank a set of representation spaces or different algorithms, with respect to any performance measure, optimum parameters related to each case need to be searched consistently, with minimum human interference, avoiding over-fitting.
We used the conservation planning software Marxan to identify multiple, efficient configurations of planning units that achieve a set of representation targets for conservation features while minimizing the cost to stakeholders [43].
The refined designs constitute the final Pareto set representation.
We present here a combination of these two cases, creating a level-set representation for curves constrained to lie on surfaces.
Starting with a (possibly curved) reference fiber direction defined on a (possibly curved) meshed surface, the new method allows defining a level-set representation of the fiber network for each ply, and so defining the fiber trajectories.
