# Osa image analysis using one binary ring mask invariant to rotation and scale

We show that most of the solutions found, including all but one of the choreographies, are unstable. A speciation solver based on a semismooth Newton method adapted to the thermodynamic modeling of cement paste is proposed. Unlike most other high-contrast imaging techniques, pupil mapping is lossless and preserves the full angular resolution of the collecting telescope.

We prove that each of these algorithm can generate a sequence converging to a non-optimal solution, and that, for the AHO direction, even its associated continuous trajectory can converge to a non-optimal point. An external flower-shaped occulter flying in formation with a space telescope can theoretically provide sufficient starlight suppression to enable direct imaging of an Earth-like planet. Operations Research Letters This putting example is just one of a collection of case studies that is submitted to Optimization and Engineering under the title "Case Studies in Trajectory Optimization: We present a modification of Karmarkar's linear programming algorithm.

As a function of X, each d j is well-defined on the closed domain of positive semidefinite matrices. This paper describes an implementation of the one-phase primal-dual path-following algorithm for solving linear programming problems. We study the problem of finding an optimal control which maximizes the expected payoff obtained at stopping time stopping in the interior results in zero reward. New pupil masks for high-contrast imaging.

We give an explicit formula for this mass-ratio threshold. Slinky The Falling Slinky The counterintuitive dynamics of a falling slinky, as illustrated here are analyzed carefully. Orderings and Higher-Order Methods. The main objective of this paper is to remove the second limitation.

We study in this paper the problem of how to putt a golf ball on an uneven green so that it will arrive at the hole with minimal final speed. In this chapter, we review a few applications of nonlinear programming to interesting, and in some cases important, engineering problems. A speciation solver based on a semismooth Newton method adapted to the thermodynamic modeling of cement paste is proposed. This problem serves as a good case study for trajectory optimization as it illustrates many of the issues that arise in trajectory optimization problems.

In this talk, we present two new classes of masks that have rotational symmetry and provide high-contrast in all directions with just one image. Orderings and Higher-Order Methods. We derive the formula for the Gittins indices associated with such problems. We will present several models of the problem and demonstrate differences in the number of iterations and solution time.

Filter Methods and Merit Functions. Finally, we present our first laboratory results testing a shaped pupil coronagraph. Major modifications include a merit function and an altered search direction to ensure that a descent direction for the merit function is obtained. Slinky The Falling Slinky The counterintuitive dynamics of a falling slinky, as illustrated here are analyzed carefully. We mention the question of sensitivity to aberrations.

To date, our masks have been symmetric with respect to a cartesian coordinate system but were not rotationally invariant, thus requiring that one take multiple images at different angles of rotation about the central point in order to obtain high-contrast in all directions. Occulter shapes are scaled to enable experimental validation of their performance at laboratory dimensions. Typical speed improvements based on computation costs are of twenty to fifty for propagations from pupil to Lyot plane, with thirty to sixty times less memory jeeded.