Abstract: Disclosed herein are platforms, systems, and methods including a cell culture system that includes a cell culture container comprising a cell culture, the cell culture receiving input cells, a cell imaging subsystem configured to acquire images of the cell culture, a computing subsystem configured to perform a cell culture process on the cell culture according to the images acquired by the cell imaging subsystem, and a cell editing subsystem configured to edit the cell culture to produce output cell products according to the cell culture process.

Abstract: Disclosed herein are platforms, systems, and methods including a cell culture system that includes a cell culture container comprising a cell culture, the cell culture receiving input cells, a cell imaging subsystem configured to acquire images of the cell culture, a computing subsystem configured to perform a cell culture process on the cell culture according to the images acquired by the cell imaging subsystem, and a cell editing subsystem configured to edit the cell culture to produce output cell products according to the cell culture process.

Abstract: The present invention describes a method and system for transferring audio-video signals to a production center and managing communications between headsets, for example, within a multiprocessing system while minimizing delay.

Abstract: An apparatus and a method are disclosed for tracking a plurality of targets (e.g. land-based vehicles) The method can include: for a first time-step, estimating a state of each target; at a second time-step, measuring values for a state of a target; for the second time-step, estimating a state of each target using the estimated target states for the first time-step; updating the estimated target states for the second time-step using the measured values; and performing an identity management process to estimate a probability that a particular state measurement corresponds to a particular target by providing a mixing matrix, wherein an element of the mixing matrix is based on an overlap between the updated estimated target states of targets in an underlying state space of the estimated target states.

Abstract: An apparatus and a method are disclosed for tracking a plurality of targets (e.g. land-based vehicles). The method can include: for a first time-step, estimating a state of each respective target; at a second time-step, measuring values for a state of each target; for the second time-step, estimating a state of each target using the estimated target states for the first time-step; updating the estimated target states for the second time-step by performing a Joint Probabilistic Data Association process using the measured values; and performing an identity management process to estimate a probability that a particular state measurement corresponds to a particular.

Abstract: A method and apparatus for determining a trajectory for a vehicle are disclosed, wherein the method can include identifying a starting position (p0) for the vehicle; identifying a desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), the desired terminal position (P), and the linear approximation, determining the trajectory for the vehicle. The linear approximation can be constrained by requirements that: an acceleration of the vehicle during the trajectory is less than a threshold value for the acceleration; and the threshold value for the acceleration is dependent on an infinity norm of a velocity of the vehicle. The vehicle may have a curvature limit.

Abstract: A method and apparatus for determining a trajectory for a vehicle can include: identifying a starting position (p0) and desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), terminal position (P), and linear approximation, determining the trajectory; wherein the linear approximation can be constrained by a requirement (e.g., specification) that the vehicle may not travel in a region; a center point of the region is at a distance from a predetermined point on the vehicle substantially equal to a minimum turn radius of the vehicle, in a direction substantially perpendicular to a velocity of the vehicle; and a distance from the center point of the region to a point on a perimeter of the region is greater than or substantially equal to the minimum turn radius of the vehicle.

Abstract: A method and apparatus are disclosed for determining a trajectory for a vehicle, wherein the method includes: identifying a starting position (p0) for the vehicle; identifying a desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), the desired terminal position (P), and the linear approximation, determining the trajectory for the vehicle. The linear approximation can be constrained by a requirement (e.g., specification) that a magnitude of a velocity of the vehicle is greater than or equal to a threshold value for the velocity. The vehicle may have a curvature limit.

Abstract: A method and apparatus for determining a trajectory for a vehicle are disclosed, wherein, the method includes: identifying a starting position (p0) and a desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), desired terminal position (P), and linear approximation, determining the trajectory for the vehicle. The linear approximation can be constrained by requirements (e.g., specifications) that: (i) an acceleration applied to the vehicle at a point on the trajectory is relatively large when the acceleration acts in a direction that is substantially perpendicular to the velocity of the vehicle; and (ii) an acceleration applied to the vehicle at a point on the trajectory is relatively small when the acceleration acts in a direction that is substantially parallel to the velocity of the vehicle. The vehicle may have a curvature limit.

Abstract: An apparatus and method are disclosed for analysing a process. An exemplary method includes: generating a process template; and determining a probabilistic model specifying the process template. The method can include use of task nodes for tasks of the process; observables nodes for observables that may be caused by performance of the tasks; and a background activities node, wherein observables may further be caused by background activities of the background node. The method can include use of task nodes for tasks of the process; observables nodes for observables that may be caused by performance of the tasks; and a background activities node, observables may further be caused by background activities of the background node. The method can include measuring values of an observable corresponding to one of the observables nodes; and updating a probabilistic estimate of the process state using the measured values.

Abstract: A method and apparatus for determining a trajectory for a vehicle can include: identifying a starting position (p0) and desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), terminal position (P), and linear approximation, determining the trajectory; wherein the linear approximation can be constrained by a requirement (e.g., specification) that the vehicle may not travel in a region; a centre point of the region is at a distance from a predetermined point on the vehicle substantially equal to a minimum turn radius of the vehicle, in a direction substantially perpendicular to a velocity of the vehicle; and a distance from the centre point of the region to a point on a perimeter of the region is greater than or substantially equal to the minimum turn radius of the vehicle.

Abstract: A method and apparatus for determining a trajectory for a vehicle are disclosed, wherein the method can include identifying a starting position (p0) for the vehicle; identifying a desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), the desired terminal position (P), and the linear approximation, determining the trajectory for the vehicle. The linear approximation can be constrained by requirements that: an acceleration of the vehicle during the trajectory is less than a threshold value for the acceleration; and the threshold value for the acceleration is dependent on an infinity norm of a velocity of the vehicle. The vehicle may have a curvature limit.

Abstract: A method and apparatus are disclosed for determining a trajectory for a vehicle, wherein the method includes: identifying a starting position (p0) for the vehicle; identifying a desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), the desired terminal position (P), and the linear approximation, determining the trajectory for the vehicle. The linear approximation can be constrained by a requirement (e.g., specification) that a magnitude of a velocity of the vehicle is greater than or equal to a threshold value for the velocity. The vehicle may have a curvature limit.

Abstract: A method and apparatus for determining a trajectory for a vehicle are disclosed, wherein, the method includes: identifying a starting position (p0) and a desired terminal position (P) for the vehicle; linearly approximating dynamics of the vehicle; and using the starting position (p0), desired terminal position (P), and linear approximation, determining the trajectory for the vehicle. The linear approximation can be constrained by requirements (e.g., specifications) that: (i) an acceleration applied to the vehicle at a point on the trajectory is relatively large when the acceleration acts in a direction that is substantially perpendicular to the velocity of the vehicle; and (ii) an acceleration applied to the vehicle at a point on the trajectory is relatively small when the acceleration acts in a direction that is substantially parallel to the velocity of the vehicle. The vehicle may have a curvature limit.

Abstract: A method and apparatus for determining positioning of a sensor relative to a target being tracked (e.g. in an urban environment) using the sensor, the sensor being mounted on a vehicle and being moveable with respect to the vehicle, the method including: for a certain time-step, measuring a state of the target using the sensor; for the certain time-step, estimating a state of the target using the measurements; determining instructions for movement of the sensor with respect to the vehicle, and instructions for the movement of the vehicle, using the estimated state; wherein determining movement instructions includes incorporating knowledge of how sensor line of sight is restricted, sensor line of sight being a path between the sensor and an object being measured using the sensor.

Abstract: An apparatus and method are disclosed for analysing a process. An exemplary method includes: generating a process template; and determining a probabilistic model specifying the process template. The method can include use of task nodes for tasks of the process; observables nodes for observables that may be caused by performance of the tasks; and a background activities node, wherein observables may further be caused by background activities of the background node. The method can include use of task nodes for tasks of the process; observables nodes for observables that may be caused by performance of the tasks; and a background activities node, observables may further be caused by background activities of the background node. The method can include measuring values of an observable corresponding to one of the observables nodes; and updating a probabilistic estimate of the process state using the measured values.

Abstract: An apparatus and a method are disclosed for tracking a plurality of targets (e.g. land-based vehicles). The method can include: for a first time-step, estimating a state of each respective target; at a second time-step, measuring values for a state of each target; for the second time-step, estimating a state of each target using the estimated target states for the first time-step; updating the estimated target states for the second time-step by performing a Joint Probabilistic Data Association process using the measured values; and performing an identity management process to estimate a probability that a particular state measurement corresponds to a particular.

Abstract: An apparatus and a method are disclosed for tracking a plurality of targets (e.g. land-based vehicles) The method can include: for a first time-step, estimating a state of each target; at a second time-step, measuring values for a state of a target; for the second time-step, estimating a state of each target using the estimated target states for the first time-step; updating the estimated target states for the second time-step using the measured values; and performing an identity management process to estimate a probability that a particular state measurement corresponds to a particular target by providing a mixing matrix, wherein an element of the mixing matrix is based on an overlap between the updated estimated target states of targets in an underlying state space of the estimated target states.

Abstract: An apparatus and method are disclosed for tracking plural targets. The method can include: estimating a state of each target; measuring values for a state of a target, and measuring a value of an identity parameter for that target to distinguish that target from another target. A state of each target can be estimated using the estimated target states for a first time-step; and updating the estimated target states for a second time-step can include performing a Joint Probabilistic Data Association process using measured state values and measured identity parameter values, wherein estimating a state of each target can be implemented using a particle filter.

Abstract: Shadow sensing apparatus for measuring the cross-section and/or position of a tool such as a welding tool at its intersection with a sensor plane, the apparatus having three sensor channels, each comprising a linear array of discrete light sources and a linear light sensor opposite the light sources to receive light emitted therefrom. Each of the channels intersects each other to define a common sensor plane. The light sources are actuatable individually to direct light towards the tool and the respective sensor is arranged to sense the shadow cast thereon by the tool. The cross-section and/or position of the tool or other subject can be determined from up to n×C shadow images, where n is the number of light sources in each of the arrays and C is the number of channels.