Abstract: A set of costs representing operations of a machine along a set of trajectories connecting a set of exit and entry points on contours of a pattern is determined. Each trajectory represents an operation of the machine proceeding from an exit point with an exit velocity to an entry point with an entry velocity according to dynamics of the machine. The set of trajectories includes at least one trajectory representing the operation along a contour with non-zero velocities at corresponding exit and entry points, and at least one trajectory representing the operation between different contours with non-zero velocities at the corresponding exit and entry points. A sequence of the trajectories optimizing a total cost of operation of the machine tracking the pattern is determined based on the costs, and a set of instructions for controlling the machine is determined according to the sequence.

Abstract: A method for generating a trajectory based on an input trajectory formed by points representing spatial coordinates for a numerically controlled (NC) process determines a plurality of sequences of the points and determines, for each sequence, local costs of each point in the input trajectory. Each sequence is formed by removing a unique combination of points from the input trajectory and the local cost of a point for a sequence is determined based on a spatial arrangement of the point with respect to at least some of points in the sequence. For each sequence, a sum of corresponding local costs of each point in the input trajectory is determines and the trajectory is determined based on an optimal sequence with an optimal value of the sum of the local costs.

Abstract: A method optimizes a dose of radiation for a radio-therapy treatment subject to constraints on diagnostic parameters of the radio-therapy treatment. The method determines a point of a polytope arranged in a coordinate system of the diagnostic parameters, such that a position of the point in the coordinate system is determined at least in part by values of each diagnostic parameter. The polytope is convex with boundaries formed by intersecting half-spaces of feasible values of each diagnostic parameter specified by the constraints. The point is the closest point of the polytope to an origin of the coordinate system with regard to a weighted Euclidean distance norm. The method determines a distribution of the dose of radiation for the radio-therapy treatment using the values of the diagnostic parameters corresponding to the position of the point.

Abstract: Embodiments of this disclosure relate to battery packs and/or holsters and, more particular, to an external battery pack and/or holster for mobile electronic devices.

Abstract: A battery pack is provided for a mobile communication device, comprising a casing defining a cavity that conforms, at least partially, to the outer shape of the mobile communication device and one or more rechargeable power cells housed within the thickness of the casing. An internal interface engages a corresponding interface on the mobile communication device to provide power from the one or more rechargeable cells to the mobile communication device. An external interface is electrically coupled to the internal interface in order to transmit signals from the mobile communication device to an external device and may further serve to recharge the one or more rechargeable power cells. The battery pack may also serve as an extendible platform by providing additional integrated communication interfaces and/or processors that can be utilized by the mobile communication device to extend its communication and/or processing capabilities.

Abstract: A method for planning a radiation therapy treatment of a body represented by a volume of voxels determines a radiation dose matrix representing a spatial distribution of a radiation dose of beams of radiation irradiating the volume with homogeneous stopping power. The beams are collimated and are shifted copies of each other at each depth of the volume, and the spatial distribution is determined by calculating cumulative beam-axial doses in a single matrix-matrix multiplication and redistributing the cumulative beam-axial doses to all voxels in the volume using a convolution. Next, a set of correcting operations is applied to the radiation dose matrix to produce a cumulative voxel radiation dose of the volume. Each correcting operation is linear, independent from another correcting operation and has a transform.

Abstract: Embodiments of this disclosure relate to battery packs and/or holsters and, more particular, to an external battery pack and/or holster for mobile electronic devices.

Abstract: A path of a cutter head of a laser cutting machine is modified to cut features according to a pattern from a material. A no-travel zone that the laser cutter avoids while performing lateral movements between cuts is specified. Locations of the path that cross the no-travel zones are also specified. The path is then modified such that all locations that violate the no-travel zone are removed so that the laser cutter detours around the no-travel zone when performing the lateral movements.

Abstract: Embodiments of this disclosure relate to battery packs and/or holsters and, more particular, to an external battery pack and/or holster for mobile electronic devices.

Abstract: Embodiments of this disclosure relate to battery packs and/or holsters and, more particular, to an external battery pack and/or holster for mobile electronic devices.

Abstract: A battery pack is provided for a mobile communication device, comprising a casing defining a cavity that conforms, at least partially, to the outer shape of the mobile communication device and one or more rechargeable power cells housed within the thickness of the casing. An internal interface engages a corresponding interface on the mobile communication device to provide power from the one or more rechargeable cells to the mobile communication device. An external interface is electrically coupled to the internal interface in order to transmit signals from the mobile communication device to an external device and may further serve to recharge the one or more rechargeable power cells. The battery pack may also serve as an extendible platform by providing additional integrated communication interfaces and/or processors that can be utilized by the mobile communication device to extend its communication and/or processing capabilities.

Abstract: A battery pack is provided for a mobile communication device, comprising a casing defining a cavity that conforms, at least partially, to the outer shape of the mobile communication device and one or more rechargeable power cells housed within the thickness of the casing. An internal interface engages a corresponding interface on the mobile communication device to provide power from the one or more rechargeable cells to the mobile communication device. An external interface is electrically coupled to the internal interface in order to transmit signals from the mobile communication device to an external device and may further serve to recharge the one or more rechargeable power cells. The battery pack may also serve as an extendible platform by providing additional integrated communication interfaces and/or processors that can be utilized by the mobile communication device to extend its communication and/or processing capabilities.

Abstract: A battery pack is provided for a mobile communication device, comprising a casing defining a cavity that conforms, at least partially, to the outer shape of the mobile communication device and one or more rechargeable power cells housed within the thickness of the casing. An internal interface engages a corresponding interface on the mobile communication device to provide power from the one or more rechargeable cells to the mobile communication device. An external interface is electrically coupled to the internal interface in order to transmit signals from the mobile communication device to an external device and may further serve to recharge the one or more rechargeable power cells. The battery pack may also serve as an extendible platform by providing additional integrated communication interfaces and/or processors that can be utilized by the mobile communication device to extend its communication and/or processing capabilities.

Abstract: A set of cars in an elevator system are scheduled by assigning passengers to the cars such that a current schedule for each car does not exceed a predetermined maximum number of stops per round trip, and the car is filled as near as possible to a maximum capacity at a predetermined bottleneck.

Abstract: Embodiments of this disclosure relate to battery packs and/or holsters and, more particular, to an external battery pack and/or holster for mobile electronic devices.

Abstract: A method controls an operation of a machine using a model predictive control (MPC). The method determine, in response to receiving a state of the operation of the machine, a dual solution of a dual parametric problem of a parametric form of the MPC using a parallel quadratic programming (PQP) rescaling iteratively a candidate dual solution of the dual parametric problem. The coefficients of the dual parametric problem include data representing dynamics of the machine and constraints on the operation of the machine. A parameter of the dual parametric problem includes the state of the operation of the machine. The method determines a primal solution of a primal problem of the MPC using the dual solution of the dual parametric problem.

Abstract: A method for reconstructing—three-dimensional (3D) lines in a 3D world coordinate system from two-dimensional (2D) lines in a single image of scene detects and clusters the 2D lines using vanishing points. A constraint graph of vertices and edges is generated, wherein the vertices represent the 2D lines, and the edges represents constraints on the 2D lines, then identifying the 3D lines that satisfy the constraints and reconstructing the 3D lines using the identified constraints.

Abstract: Disclosed is durable and water-resistant or water-proof communication accessory with a built-in battery for a mobile communication device capable of enclosing, powering, and protecting a mobile device and protecting it from dirt, water, weather, bumps, and scratches. The built-in battery can extend the battery operating time of mobile communication device while protecting the sensitive electronics, glass screen, and data.