Abstract: A method for depth of field tracking and controlling of a pet companion robot device to interact with a pet includes the steps of: locating a target pet within a field of view of the camera; drawing a minimum target rectangle around the target pet, with sides of the minimum target rectangle parallel with the corresponding sides of the field of view of the camera; locating a center point P of the minimum target rectangle. When P is located in quadrangles I and II, adjusting the pet companion robot device to the right to make P overlap with the vertical center line of the field of view of the camera; and when P is located in quadrangles III and IV, adjusting the pet companion robot device to the left to make P overlap with the vertical center line of the field of view of the camera.

Abstract: A manufacturing method of a three-dimensional object includes: a positioning step, an adhering step, a placing step, an additive manufacturing step, and a detaching step. In the positioning step, a fixing plate in which adhesive injection holes are formed is placed on a thin plate, and the thin plate is positioned on the fixing plate. In the adhering step, an adhesive is dripped to the adhesive injection holes, and the fixing plate is adhered to the thin plate. In the additive manufacturing step, a three-dimensional object in which the thin plate and a solidified layer are integrated is formed. In the detaching step, adhesion between the thin plate and the fixing plate is removed by a removing agent corresponding to the adhesive.

Abstract: An overlay metrology system may include an illumination source and illumination optics to illuminate an overlay target on a sample with illumination from the illumination source as the sample is in motion with respect to the illumination from the illumination source in accordance with a measurement recipe. The overlay target may include one or more cells, where a single cell is suitable for measurement along a particular direction. Such a cell may include two or more gratings with different pitches. Further, the system may include two or more photodetectors, each configured to capture three diffraction lobes from the two or more grating structures. The system may further include a controller to determine an overlay measurement associated with each cell of the overlay target.

Abstract: The disclosure relates to a light blocking sheet and a lens module. The light blocking sheet includes an inner hole. A plurality of micro concave structures are regularly disposed on a periphery of the inner hole. The micro concave structure extends from the periphery of the inner hole to a direction far away from a center of the inner hole. A depth of the micro concave structure is d, an outer ring diameter of the light blocking sheet is D1, d and D1 meet 0.01?d/D1?0.05. According to the light blocking sheet of the disclosure, the micro concave structures are disposed on the periphery of the inner hole, so that stray light may be effectively suppressed.

Abstract: An article transport system capable of averaging an amount of movement of each movable part when transporting articles. The article transport system includes a sensor for detecting a three-dimensional position of each of a plurality of workpieces, a plurality of robots each having a movable part for conveying the workpieces to predetermined plurality of conveying destinations, a control section for controlling the robots, a movement amount calculation section for calculating a movement amount of each of the movable parts when each workpiece is conveyed by one of the robots based on a three-dimensional position of each workpiece, and a distribution determination section for determining a distribution pattern regarding which robot arm is used for conveyance of each workpiece so that a difference between the movement amounts of the movable parts is minimal or less than a predetermined value.

Abstract: A LIDAR sensor apparatus and a control method thereof. The LIDAR sensor apparatus includes a transmitter configured to transmit a laser, first and second receivers each configured to receive a reflected signal reflected from an object after the laser is transmitted through the transmitter, a control unit configured to calculate first and second distances by performing signal processing on first and second signals received from the first and second receivers after the laser is transmitted through the transmitter, and to calculate an intermediate distance by performing signal processing on an overlapping signal obtained by overlapping the first and second signals, and an output unit configured to output the first and second distances and the intermediate distance calculated by the control unit.

Abstract: A processor-implemented light source information output method includes: receiving an input image; detecting, using a trained neural network, at least one object in the input image; estimating, using the trained neural network, light source information of a light source corresponding to the at least one object; and outputting the light source information.

Abstract: A method for autonomously navigating a subject vehicle from among a plurality of vehicles in an environment includes determining whether the subject vehicle is to be moved from a first post-production location to a second post-production location within the environment based on transportation scheduling data associated with the subject vehicle. The method includes executing a navigation routine in response to the transportation scheduling data indicating the subject vehicle is to be moved. The navigation routine includes obtaining location data associated with the plurality of vehicles, identifying a vehicle path for the subject vehicle based on the location data of the plurality of vehicles, the first post-production location, the second post-production location, or a combination thereof, and instructing the subject vehicle to autonomously travel along the vehicle path to the second post-production location.

Abstract: Various implementations of the invention comprise a surface or film having a plurality of three-dimensional structures embodied on or within the surface or film, each of the three-dimensional structures having a reflecting surface configured to retro-reflect radiation from a radiation source back to a detector located at the radiation source.

Abstract: A vehicle wheel balancing machine having a rotating shaft which supports a vehicle wheel, a means for supporting the rotating shaft, and force sensor means adapted to detect the imbalance forces generated during the rotation of the rotating shaft; an accelerator means accelerates the shaft and the wheel and an angular sensor means senses an angular position; an electronic means processes information obtained by the force sensor means and determines the value and the position of correction masses adapted to compensate an imbalance present on the wheel; a moving indicator means is moved by a motorized actuator means and is configured to project a light dot on the wheel; a fixed indicator means projects a luminous beam, perpendicular to the axis of rotation, or a luminous dot, having a fixed and known angle of incidence on the inner surface of the wheel; a coincidence of the moving luminous point with the fixed luminous line or dot identifies a desired position of a counterweight on the diameter of the wheel.

Abstract: A control method, a control device, a storage medium, and an electronic device for a magnetic capsule endoscope is provided. The method includes: obtaining a safe operating range of a magnetic moving member to obtain a spatial range parameter, wherein the magnetic moving member controls the movement of the magnetic capsule endoscope through the movement of a magnetic field during movement; controlling a drive mechanism to drive the magnetic moving member to move within the safe operating range according to a specified movement mode according to the spatial range parameter, wherein the magnetic capsule endoscope moves under the attraction of the moving magnetic field of the magnetic moving part; and controlling the magnetic capsule endoscope to transmit captured videos or images during the movement.

Abstract: Methods include holding a sample with a movement stage configured to rotate the sample about a rotation axis, directing an imaging beam to a first sample location with the sample at a first rotational position about the rotation axis and detecting a first transmitted imaging beam image, rotating the sample using the movement stage about the rotation axis to a second rotational position, and directing the imaging beam to a second sample location by deflecting the imaging beam in relation to an optical axis of the imaging beam and detecting a second transmitted imaging beam image, wherein the second sample location is spaced apart from the first sample location at least at least in relation to the optical axis. Related systems and apparatus are also disclosed.

Abstract: The present disclosure provides a device and method for calibrating an optical diagnostic system. The calibration device includes at least one pupil configured to receive light transmitted from an optical diagnostic system and to reflect the light back to the optical diagnostic system and a machine-readable label containing information to calibrate the optical diagnostic system, wherein the machine-readable label is disposed on the at least one pupil. The method includes positioning and aligning the optical diagnostic system with the calibration tool, scanning a machine-readable label disposed on at least one pupil of the calibration tool using the optical diagnostic system, storing setpoint values acquired from the machine-readable label into a storage medium of the optical diagnostic system, measuring actual values of the at least one pupil, comparing the actual values with the setpoint values, and determining that the actual values are within a tolerance of the setpoint values.

Abstract: A workpiece inspection and defect detection system includes a light source, a lens that inputs image light arising from a surface of a workpiece, and a camera that receives imaging light transmitted along an imaging optical path. The system utilizes images of workpieces acquired with the camera as training images to train a defect detection portion to detect defect images that include workpieces with defects. Anomaly detector classification characteristics are determined based on features of the training images. Run mode images of workpieces are acquired with the camera, and based on determined features from the images, the anomaly detector classification characteristics are utilized to determine if the images of the workpieces are classified as anomalous. In addition, the defect detection portion determines if images are defect images that include workpieces with defects and for which additional operations may be performed (e.g., metrology operations for measuring dimensions of the defects, etc.

Abstract: A device for measuring horological shakes, including a structure carrying an articulated mechanism with a compliant mechanism having a linear force/stroke characteristic connecting a first fixed element to a second element capable of moving linearly under the effect of an actuator manoeuvring same in a contactless manner in both directions, and a position sensor determining the position of the second element in a direction, and a load sensor determining the variation in the axial pushing or pulling load of the second element carrying a gripper clamping a mobile component, and/or the variation in the gradient of this load, generating a signal for triggering the position measurement during each sudden change in gradient of the load in each direction of running, to determine the shake of the mobile component, by comparing the positions measured during the sudden changes in gradient during the outward and return strokes.

Abstract: The image data obtained by imaging the component in the component recognition when the component mounter mounts the component on the board is stored in the storage, and the luminance related condition is optimized based on this image data. Therefore, a proper luminance related condition corresponding to the component to be actually mounted can be obtained.

Abstract: A component mounting machine including a mounting head configured to pick up and mount a component; a component camera to image the component from below the mounting head; a board camera to image the circuit board from above; an imaging position memory to memorize imaging position coordinates during imaging, based on images acquired by the component camera; a relative position memory to memorize relative position coordinates that are a relative position of the mounting head with respect to the board camera; and a correction necessity determining section to perform imaging of the mounting head by the component camera when the moving device has arrived at the imaging position coordinates, and determine whether it is necessary to correct the relative position coordinates memorized in the relative position memory, based on a position of the mounting head understood from the images acquired from the imaging.

Abstract: This optical sensor includes an illuminating optical fiber, a first light receiving optical fiber, a second light receiving optical fiber, and a measuring unit. An intersection of a reflected light entering the first light receiving optical fiber and the reflected light entering the second light receiving optical fiber is located on a front end surface of a sensor head or is closer to the peripheral surface of a moving body (a rotating body) than the front end surface of the sensor head is. This can compensate for effects of thermal expansion and accurately measure a clearance.

Abstract: A mounting assembly for an optical video system may include a platform having a track extending longitudinally along the platform. A camera mount may be slideably coupled to the track. A camera may be coupled to the camera mount. The camera may include a receptacle for engaging an interchangeable lens assembly. The mounting assembly for the optical video system may also include a biasing mechanism, wherein the biasing mechanism urges the camera mount along the track such that the receptacle engages the interchangeable lens assembly.

Abstract: An additive manufacturing machine includes an energy unit with two energy beam sources, each with a different power level of energy beam. In addition, a build unit receives the energy beams, and a reflecting unit is positioned between the energy unit and the build unit and directs the energy beams. There is also an energy beam detector positioned on or near the build unit.

Abstract: A three dimensional image measurement system including a first optical system and a second optical system is provided. The first optical system is adapted to output a structural light beam and a zero order light beam. There is an angle between the structural light beam and the zero order light beam. The first optical system performs an optical operation to project the structural light beam to a three dimensional object to obtain three dimensional information of the three dimensional object. The second optical system is adapted to receive the zero order light beam and perform another optical operation by using the zero order light beam. The first optical system includes a plurality of optical elements. The value of the angle between the structural light beam and the zero order light beam is determined according to position parameters of the optical elements.

Abstract: The invention describes a laser sensor module (100) for particle density detection. The laser sensor module (100) comprising at least one first laser (110), at least one first detector (120) and at least one electrical driver (130). The first laser (110) is adapted to emit first laser light in reaction to signals provided by the at least one electrical driver (130). The at least one first detector (120) is adapted to detect a first self-mixing interference signal of an optical wave within a first laser cavity of the first laser (110). The first self-mixing interference signal is caused by first reflected laser light reentering the first laser cavity, the first reflected laser light being reflected by a particle receiving at least a part of the first laser light. The laser sensor module (100) is adapted to reduce multiple counts of the particle. The invention further describes a related method and computer program product.

Abstract: Methods, systems, and devices involving patterned radiation are provided in accordance with various embodiments. Some embodiments include a device for projecting pattern radiation. Some embodiments include a method for estimating coordinates of a location on an object in a 3D scene. Some embodiments include a system for estimating the coordinates of a location on an object in a 3D scene. A variety of radiation patterns are provided in accordance with various embodiments. Some embodiments may relate to the use of patterned illumination to identify the angular information that may be utilized to measure depth by triangulation.

Abstract: A sample liquid-surface position measurement device includes: a first light source that illuminates a side face of a container containing a sample; a first optical measurement sensor that is located on the opposite side of the container from the first light source, and measures transmitted light from the first light source; a first label position measuring unit that measures a position of a label affixed to the container; and an analysis section that calculates a liquid-surface position or an interface position of the sample in the container, from transmitted-light intensity data in a longitudinal direction of the container which is measured by the first optical measurement sensor, and from the position of the label in the longitudinal direction of the container which is measured by the first label position measuring unit.

Abstract: There is provided: a pair of slanted fiber groups; a pair of parallel fiber groups; a light source for emitting two slanted light beams from a pair of slanted light-emitting fibers, and emitting two parallel light beams from a pair of parallel light-emitting fibers; a target provided to the outer peripheral surface of a rotor; a pair of light-receiving elements for detecting the intensity of light received by each of a pair of slanted light-receiving fibers; a pair of light-receiving elements for detecting the intensity of light received by each of a pair of parallel light-receiving fibers; and a computation unit for performing a computation that includes an interval affected by thermal elongation on the basis of four waveforms indicating changes in the intensity detected by each of the light-receiving elements.

Abstract: The present invention is related to a scanning device for scanning documents, comprises a flat-bed scanning glass; a contact image sensor arranged above the flat-bed scanning glass separately to form a scanning path therebetween, a bottom surface of the contact image sensor being arranged with a protecting glass, a middle area of the protecting glass being configured as a scanning area, and a chamfer being arranged at the bottom surface of the protecting glass at a downstream position relative to the scanning area. Hence the dust of documents in this invention would be stacked in the chamfer during the scanning process temporarily and then be wiped away by the document itself, so as to assure the dust would not be stacked in the scanning area. The scanning device in this invention is capable to maintain the scanning quality without clearing the dust even after scanned a massive quantity of documents.

Abstract: A depth camera assembly (DCA) for depth sensing of a local area. The DCA includes a structured light generator, an imaging device, and a controller. The structured light generator illuminates the local area with structured light. The structured light generator includes an acousto-optic deflector (AOD) and a liquid crystal device (LCD). The AOD functions as one or more dynamic diffraction gratings that diffract one or more optical beams to form diffracted scanning beams. The LCD includes one or more liquid crystal gratings (LCGs) that diffract the diffracted scanning beams to form the structured light projected into the local area. The imaging device captures portions of the structured light reflected from one or more objects in the local area. The controller determines depth information for the one or more objects based on the captured portions of the reflected structured light.

Abstract: An apparatus for mounting components on a substrate comprises a pick and place system with a bonding head, a camera and two optical deflection systems. The first optical deflection system and the camera form a first image detection system for recording an image of the substrate location on which the component is to be mounted. The first optical deflection system, the second optical deflection system and the camera form a second image detection system for recording an image of a bottom side of the component. The pick and place system moves the carriage from a take-up location of the component to the substrate location in a respective predetermined height H1 above the second optical deflection system, so that the bottom side of the component is located in a focal plane of the camera, and lifts the carriage to a respective predetermined height H2, so that the substrate location is situated in the focal plane of the camera.

Abstract: In a general aspect of the examples described, motion is detected based on received wireless signals in a mesh network. In an example, transfer function components for each pair of devices are obtained. A time series of transfer function matrices is generated, with each of the transfer function matrices comprising a respective subset of the transfer function components. Motion of an object in the space is detected based on the time series of transfer function matrices.

Abstract: A portable electronic device includes a housing having at least one major face. One or more processors are operable in the device. At least two discrete signal emitters are disposed along the at least one major face. At least two discrete signal receivers are also disposed along the at least one major face. A first discrete signal emitter is proximately located with a first discrete signal receiver to form a first discrete signal emitter-receiver pair, while a second discrete signal emitter is proximately located with a second discrete signal receiver to form a second discrete signal emitter-receiver pair. The first discrete signal emitter-receiver pair is distally located along the at least one major face from the second discrete signal emitter-receiver pair, and can receive gesture input in a first mode of operation and proximity input in a second mode of operation.

Abstract: An automatic method for measuring three-dimensional coordinates by a laser tracker includes determining whether a retroreflector is accessible within an acceptance region of an inspection location and, if not, taking corrective action.

Abstract: A lower supporting pin module 22 is given a shape having a contact surface 26a. On the occasion of position recognition for determining a position of a pin on the lower supporting pin module 22, an image of the lower supporting pin module 22 is captured, and the image is subjected to recognition processing, to thus detect an outer shape of an upper shaft 24B. Even when an extraneous matter on a downside surface of a substrate adheres to the contact surface 26a, the position of the lower supporting pin module 22 can be stably recognized with superior recognition precision.

Abstract: An apparatus and method for adjusting prism beam expander. The prism beam expander adjustment apparatus has a light source, a baseplate, a precise rotary stage, support columns, a two-dimensional slide stage, the first 90-degree bellcrank lever, an indication light source, the second 90-degree bellcrank lever, an optical filter, a photodetector, a computer, and an assembly platform. Incidence angles of all prisms of a prism beam expander can be precisely demarcated and designed beam magnification is obtained with the preferred adjustment methods. The parallel of the prisms can be guaranteed by monitoring the pitching of the prisms in the adjustment process. As a result, the linewidth narrowing and cavity losses decreasing can be improved by application of the fixed prism beam expander.

Abstract: Example methods and systems for calibrating one or more light sources are described. One example method includes determining a position of at least three photosensors relative to a world frame, controlling an orientation of at least one light source so as to cause the at least one light source to project a light beam across an area encompassing the at least three photosensors, receiving signals indicating a sensing of a light beam directed at one of the photosensors, determining orientations of the at least one light source that cause a signal at one of the photosensors, and based on the position of the at least three photosensors and the orientations of the at least one light source that cause a signal at one of the photosensors, determining a transformation from a local frame of the at least one light source to the world frame.

Abstract: An apparatus and method for finding part position relations of parts of mechanical and opto-mechanical machining and quality control systems, and for recognizing these parts, is disclosed. The present invention relies on optical contactless sensing technology, with recording of optical fiducial patterns and therefrom determining positions close to the work positions without physical contact. Part positions of machines are determined by associating or mechanically integrating fiducial patterns (1) with key parts, and optically detecting the images of these patterns. Part positions and displacements according to given part position finder (6) strategies are found, by associating fiducial pattern images (14) and machine position data (17) to parts that are members of a part geometry relation (15), and under part displacement constraints (16), finding given part positions or displacements (18).

Abstract: Various gun sights and related methods are provided. In one embodiment, a gun sight includes a light source adapted to project light, a user-viewable interface, and an optical element. The optical element includes a first surface adapted to pass the light to provide a reticle at the user-viewable interface. The optical element also includes a second surface adapted to refract the light to provide a light guide at a peripheral area of the user-viewable interface to aid a user to substantially align the user's eye with the reticle. Various mechanisms for aligning gun sights, attaching gun sights, related methods, and other embodiments are also provided.

Abstract: The invention relates to a device for capturing the rotary position (D) of at least one rotary device (4) provided for receiving a container (3) by means of at least one sensor unit (5), wherein the rotary device (4) is provided for driving the container (3) about a rotary axis (DA), and the at least one sensor unit (5) is advantageously designed for non-contact capturing of the rotary position (D) of the rotary device (4) relative to the rotary axis (DA).

Abstract: A system for detecting motion of a body, the system comprising: a body; a first grating mounted substantially stationary relative to a frame of reference; a second grating mounted on the body; a detector arranged to receive one or more radiation beams diffracted at the first and second gratings thereby to detect motion of the body relative to the frame of reference; wherein the detector is coupled to the body and moveable relative to the body.

Abstract: An optical position detection apparatus detects the position of a target object in a Z-axis direction and the position of the target object in an X-axis direction based on the result of the light reception in a light receiving unit when light source units that are spaced apart in the X-axis direction are sequentially turned on and the result of the light reception in the light receiving unit when light source units that are spaced apart in the Z-axis direction are sequentially turned on among a first light source unit, a second light source unit, and a third light source unit. The emission directions of the detection lights in the first light source unit, the second light source unit, and the third light source unit are equal to one another in the Z-axis direction.

Abstract: A method and an apparatus of measuring a position of a particle in a flow are disclosed. An embodiment of the method comprises temporally modulating and spatially pattering an illumination beam propagating along a first dimension, passing a particle across the modulated illumination beam, detecting a temporal profile of scattered light produced by the particle's passing through the modulated illumination beam, and determining the position of the particle based, in part, on the temporal profile of the detected scattered light.

Abstract: In a system for detecting the position of an object in relation to a reference system, the object is arranged so as to be movable in relation to the reference system along at least two orthogonal first and second main movement axes. To record the position of the object in relation to the reference system, a position measuring device includes at least two two-dimensional measuring standards situated along the first main movement axis, and four scanning units for an optical scanning of these measuring standards. In addition, at least four additional supplementary scanning units are provided, which are situated between the four scanning units along the first main movement axis.

Abstract: A beam deflection device including an aluminum disc containing a plurality of lasers, each laser projecting a laser beam substantially along one of the ‘X’, ‘Y’, and ‘Z’ axes of a structural beam to which the device is attached. Wiring is attached to each of the plurality of lasers to provide power and transmit data. Passageways are provided in the solid disc to route the wiring to the exterior. A suction cup on a surface of the device allows it to be attached to the beam by pressing the device against a flat surface area of the beam.

Abstract: Method and apparatus (1a) for optical detection of the position of large-area printed products (10). The apparatus (1a) has conveyance means (2a) for movement of the printed products (10) along a conveyor path (4) past at least one contrasting light source (30), and at least one optical sensor (16). The conveyance means (2, 2a), the contrasting light source (30) and optical sensor (16) are arranged such that the printed products (10) can be conveyed between the contrasting light source (30) and the optical sensor (16).

Abstract: A system for testing a distortion of a liquid crystal display (LCD) device can test the LCD device within a chamber in a state of being assembled perpendicular to the ground, whereby whether any distortion occurs in an internal component can be fast detected even in severe conditions of high temperature and high humidity and under an actual installation environment of a user.

Abstract: A novel electro-optical sensor for the wideband and normalized translation of the two-dimensional position of a light beam transverse to its traveling direction into electrical position signals. Incident on the sensor is the light beam 122 which is divided with a beamsplitter 121 into a transmitted beam 123 and a reflected beam 124 which both have similar transverse motion behavior as the incident beam. From each of these divided beams the position is determined one-dimensionally with an one-dimensional optical position sensor, 125, 126. The one-dimensional position determination is done by dissecting each divided beam into two beams using a partitioning element. The outputted dissected beams have a power distribution that depends on the position of the divided beam relative to the partitioning element. Each beam is optically coupled to a photo detector which translates its power into an electric current.

Abstract: The present disclosure relates to a sensor network including a plurality of nodes, each node having a directional sensor, a communication module, and a processor configured to receive local measurements of a calibration object from the directional sensor, receive additional measurements of the calibration object from neighboring nodes via the communication module, estimate an initial set of calibration parameters in response to the local and additional measurements, receive additional sets of calibration parameters from neighboring nodes via the communication module, and recursively estimate an updated set of calibration parameters in response to the additional sets of calibration parameters. Additional systems and methods for calibrating a large network of camera nodes are disclosed.

Abstract: According to an example embodiment, a method to determine an exposure start position and orientation includes loading a substrate on a moving table. The substrate includes at least one alignment mark of a first set of alignment marks of a first pattern layer patterned thereon. At least one alignment mark of a second set of alignment marks of a second pattern layer is exposed on the substrate using maskless lithography. A position of the at least one alignment mark of the first set of alignment marks and a position of the at least one alignment mark of the second set of alignment marks on the substrate is measured. A relative orientation difference between a desired exposure start orientation and an obtained exposure start orientation is acquired using the measured positions of the at least one alignment mark of the first set of alignment marks and the at least one alignment mark of the second set of alignment marks.

Abstract: The laminated diffractive optical element includes plural diffraction gratings (21, 22 and 23) laminated with each other, the respective diffraction gratings being formed of a same light-transmissive material. In the element, reflective films are formed on grating surfaces (11 and 12) of the respective diffraction gratings, each of the reflective films being disposed between the diffraction gratings. Each of the reflective films reflects light in a specific wavelength range and transmits light in a wavelength range different from the specific wavelength range, the specific wavelength ranges of the respective reflective films being different from each other. The grating surfaces of the respective diffraction gratings are formed in shapes different from each other according to the specific wavelength ranges corresponding to the respective reflective films.

Abstract: In an optical position detection device, when light source sections emit detection light, a light detecting section detects detection light reflected from a object to detect the coordinates of the object. When seen from the detection space, the light detecting section is located inward from a plurality of light source sections, and each of the plurality of light source sections includes first and second light emitting elements. Therefore, the position of the object can be detected on the basis of a comparison result of the received light intensity in the light detecting section when the first light emitting element is turned on and the received light intensity in the light detecting section when the second light emitting element is turned on in both the case where the object is located outside a region between the light source sections and the case where the object is located inside the region.

Abstract: Embodiments are directed towards detecting the three dimensional position of a position sensing device (PSD) utilizing a spot scanned across a remote surface. A trajectory map may be determined for a projection system. The trajectory map may identify a location of the spot at various times during the scan. A PSD may be arranged with a clear view of the remote surface. The PSD may observe at least three spots projected onto the remote surface utilizing three lines of sight that enable moment-in-time linear alignment between the spot and a sensor. Observation angles between each of the lines of sight may be determined. For each observed spot, a transition time may be determined and a location of the observed spot may be determined based on the trajectory map. A position of the PSD may be determined based on determined observed locations and the observation angles of the PSD.