Topology optimization methods for inverse design of nano-photonic systems have recently become extremely popular and are presented in various forms under names. Approaches comprise gradient non-gradient based algorithms combined with more or less systematic ways to improve convergence, discreteness solutions satisfaction manufacturing constraints. We here provide a tutorial the efficient struct...

Real-time control of the endeffector of a humanoid robot in external coordinates requires computationally efficient solutions of the inverse kinematics problem. In this context, this paper investigates methods of resolved motion rate control (RMRC) that employ optimization criteria to resolve kinematic redundancies. In particular we focus on two established techniques, the pseudo inverse with e...

Superconducting (SC) magnets for accelerator concepts are often synthesized by numerically optimizing magnetic field waveforms, a process that requires subsequent solution of constrained inverse problem to identify suitable SC magnet windings. When the desired distribution is intuitive, facilitated seeding preconceived coil distributions into design optimization methods refinement. With more co...

An iterative method was developed for the adaptive inverse planning automation. The expected treatment dose in organs of interest constructed using the previous and on going treatment plans, and daily CBCT images was utilized to setup an initial criteria for each organ in the objective function. Following the initial inverse planning optimization, the achieved objective value was used to modify...

mathematical simulation of flow toward drains is an important and indispensable stage in drainage design and management. many related models have been developed, but most of them simulate the saturated flow toward drains without a due consideration of the unsaturated zone. in this study, the two dimensional differential equation governing saturated and unsaturated flow in porous media is numeri...

This work presents a method to handle walking on rough terrain using inverse dynamics control and information from a stereo vision system. The ideal trajectories for the center of mass and the next position of the feet are given by a pattern generator. Then, an inverse dynamics control scheme relying on a quadratic programming optimization solver is used to let each foot go from its initial to ...

Given n points in the plane with nonnegative weights, the inverse Fermat-Weber problem consists in changing the weights at minimum cost such that a prespecified point in the plane becomes the Euclidean 1-median. The cost is proportional to the increase or decrease of the corresponding weight. In case that the prespecified point does not coincide with one of the given n points, the inverse Ferma...