Abstract: The invention relates to a method for calibration of 2-axis high precision digital angle measurement device, particularly for initializing a planar angle measuring device and an apparatus to generate simultaneous two-dimensional resultant planar angles of full 360° rotation. The planar angle measurement device is, typically but not exclusively, used in concurrent two-dimensional angles leveling, setting and alignment tasks for precision machine setup in the fields of precision engineering and metrology applications.

Abstract: A method of implementing accurate digitization from a georeferenced image is described. In one embodiment, at least one set of coordinates which have been measured at a point of interest is received. A correction is then determined which describes a difference between the at least one set of coordinates and a set of georeferenced coordinates from a georeferenced image of the point of interest which describes the position of the point of interest.

Abstract: A method of optimizing measurement paths analyzes one or more measurement points for each of the measurement elements of a product and generates relation arrays, each of the relation arrays storing the name and the one or more measurement points of one measurement element. The method selects a measurement point which is the nearest to the origin of an coordinate system of the product, computes distances between the measurement points from the selected measurement point using the relation arrays, and orders the measurement points according to the computed distances to generate a first ordered array. The method generates an optimal measurement path according to the first ordered array.

Abstract: Provided is a charged particle beam device wherein a secondary signal generated from an alignment pattern having known coordinate values in a sample coordinate system is detected, and a positional deviation quantity between the coordinate system of a sample (10) and the coordinate system of a stage (21) is calculated so as to generate coordinate correction data. At the time of observing a sample image, the secondary signal generated from the alignment pattern is detected at least once so as to perform realignment, and the coordinate correction data is updated. Thus, the charged particle beam device performs long-time inspection at a high observation magnification by accurately correcting the sample coordinate information obtained by temperature change, while suppressing device cost increase and throughput deterioration.

Abstract: A method of estimating and extrapolating the position of an article is provided. The article's position is detected by relatively infrequent ultrasonic ranging, and provides more frequent reports from internal accelerometers, gyroscopes and optional magnetometers. In a first instance, the method includes calculating new position, velocity and orientation vectors by linearly interpolating between the readings of the sensors at two times. In a second instance, the method includes estimating the orientation of the article by calculating the duration of a timeslice, making a rotational increment matrix and taking the product of the initial orientation and the increment matrix for the appropriate number of timeslices. In a third instance, the method includes calculating the acceleration of an article between three ultrasonically determined locations and recalibrating the accelerometers to align the measured acceleration with the calculated acceleration.

Abstract: A method of compensating the measurement errors of a measuring machine deriving from the deformations of a machine bed of the machine caused by the load exerted by a mobile unit of the machine on said machine bed, said method being characterized by comprising a first acquisition step in which first data regarding the constraint conditions of a workpiece on the machine bed are acquired, a second acquisition step in which second data regarding the deformation of the machine bed as the position of the mobile unit of the machine varies are acquired, and a third calculation step in which correction values depending upon said first and second data are calculated.

Abstract: A method and device for calibrating a magnetometer device. In an embodiment, the present invention provides a method to automatically calibrate a magnetometer device in the background with only limited movement in each of the three axis (approximately 20 degrees in each direction). A device implementing the present method will never get stuck in a lock-up state. Embodiments of the present invention provide a conservative and accurate magnetometer status indicator that is essential for indoor navigation using inertial sensors. The implemented algorithm is relatively low computationally intensive and is intelligent enough to know when it has the right kind and right amount of magnetic data before it initiates a calibration.

Abstract: Track information generating devices, methods, and programs acquire a self-contained navigation track of a vehicle indicated by time-series pieces of self-contained navigation information, and acquire a GPS track of the vehicle indicated by time-series pieces of GPS information. The devices, methods, and programs compare the self-contained navigation track with the GPS track to correct the self-contained navigation information so as to reduce a difference between the self-contained navigation track and the GPS track.

Abstract: An information processing apparatus includes: a receiving device receiving a distribution data series; first adjusting device adjusting first function parameter set to reduce an error, the first function parameter set specifying the position of the extreme value, and the ratio of a value at first distance on the coordinate axis from the position of the extreme value in first direction to the extreme value; second adjusting device adjusting second function parameter set to reduce an error, the second function parameter set specifying the position of the extreme value, and the ratio of a value at second distance on the coordinate axis from the position of the extreme value in second direction to the extreme value; a calculator calculating a characteristic coefficient identifying a Pearson function from a moment of a function including the first and second functions; and a distribution data calculator for calculating distribution data by a Pearson function.

Abstract: A technique for reducing altitude error involves determining a corrected altitude for an aircraft using forecast atmospheric pressure data available, for example, from a weather forecasting service. The forecast atmospheric pressure data includes, for a number of points in time and for a number of geographic locations, a set of pressure levels and corresponding altitude values. Altitude correction data is periodically calculated from the forecast atmospheric pressure data for each of a number of geographic grid points. Upon receiving aircraft position information and an aircraft altitude measurement for an aircraft, one or more of the geographic grid points corresponding to the aircraft position are identified, and a corrected altitude of the aircraft is determined based on the altitude correction data of the one or more geographic grid points.

Abstract: In a method for checking installation positions of probes of a star prober using a coordinate measurement device, the star prober is fixed vertically on a platform and supported by a movable arm, and a standard ball placed on the platform. The first probe measures a first point on a top surface of the standard ball, and the second probe measures a second point on the top surface of the standard ball. An X-Y coordinate system based on the first and second points is established, and a value of any deviation angle between the first probe and the second probe is calculated based on the X-Y coordinate system. The information is displayed for indicating whether the installations of the first and second probes are precise or not according to any deviation value, and the respective installations of the other individual probes are checked against the X-Y coordinate system.

Abstract: A technique for estimating the closest point of approach (CPA) of an object includes: tracking a range rate of the object based on Doppler measurements of the object; computing a first CPA estimate based on the tracked range rate; separately tracking a position of the object based on position measurements of the object; computing a second CPA estimate based on the tracked position; and computing a fused CPA estimate based on the first and second CPA estimates.

Abstract: In general, the invention relates to an algorithm and process for automated and/or continuous calibration of magnetic sensor, for example such as a sensor installed in a mobile positioning system handset. According to certain aspects, the calibration process can use the normal motion of the handset such that all measurement data from the three orthogonal axes of sensor when exposed to Earth's magnetic field is collected. According to still further aspects, the process includes fitting measurement data to an ellipsoid that characterizes the actual magnetic field measurements from a magnetic sensor, so that anomalies such as hard iron effect, soft iron effect and scale factors can be extracted and/or corrected by comparison to a sphere represented by magnetic field data from a model at the sensor's location.

Abstract: A reference measurement object having known properties is used for the purpose of calibrating a coordinate measuring machine. A plurality of reference measured values are picked up on the reference measurement object. Calibration data are determined using the reference measured values and using the known properties of the reference measurement object. The calibration data comprises a first number of polynomial coefficients that are selected to correct nonlinear measuring errors using at least one polynomial transformation. The first number of polynomial coefficients is reduced in an iterative method to a lesser second number, with a plurality of pairs of polynomial coefficients being formed and with a polynomial coefficient of a pair being eliminated in each case when a statistical dependence between the polynomial coefficients of the pair is greater than a defined threshold value.

Abstract: A measuring arrangement is calibrated for determining rotational positions of a rotary device that has a first part and a second part which can be rotated relative to the first part about a rotational axis. Rotational positions of the first part relative to the second part and/or rotational positions of the second part relative to the first part are detected using a plurality of sensors distributed about the rotational axis. A respective measurement signal corresponding to each detected rotational position is generated such that redundant information on the rotational positions of the first part and the second part relative to each other is provided. The redundant information on the rotational position(s) are analyzed such that effects of a translational movement of the first and the second part relative to each other are corrected, the translational movement running transverse to the extension of the rotational axis.

Abstract: Systems and methods for low-latency calibration of the alignment of 3-axis accelerometers in accordance embodiments of the invention are disclosed. In one embodiment of the invention, a telematics system includes a processor, an acceleration sensor, a velocity sensor, and a memory configured to store an acceleration alignment application, wherein the acceleration alignment application configures the processor to determine vehicular forward acceleration information and vehicular lateral acceleration information, calculate a lateral acceleration vector, a forward acceleration vector, and a vertical acceleration vector using a forward incline vector and a lateral incline vector determined using the vehicular forward acceleration information and vehicular lateral acceleration information.

Abstract: Systems and methods for the calibration of 3-axis accelerometers using vertical sample buffers in accordance embodiments of the invention are disclosed.

Abstract: Track information generating devices, methods, and programs acquire a self-contained navigation track of a vehicle indicated by time-series pieces of self-contained navigation information, acquire a matching track of the vehicle indicated by time-series pieces of information determined through a map matching process is determined as a road the vehicle is traveling, and acquire a degree of reliability of the matching track. The devices, methods, and programs acquire a GPS track that is a track of the vehicle indicated by time-series pieces of GPS information, acquire a degree of reliability of the GPS track, and set the one of the GPS track and the matching track having a higher degree of reliability as a correction target track to correct the self-contained navigation information so as to reduce a difference between the self-contained navigation track and the correction target track.

Abstract: An apparatus for recognizing a user's motions based on sensor information and label information, a method for establishing an ONMF-based basis matrix, and a method for establishing an OSSNMF-based basis matrix are provided, where the basis matrices are used to extract motion features of the user. The apparatus for recognizing the user's motions may include a feature vector extractor configured to multiply a transposed matrix of an orthogonalized basis matrix by a sensor data matrix of frequency domain sensor data acquired from sensors to extract an ONMF-based feature vector and a multi-class classifier configured to use the extracted ONMF-based feature vector to classify the user's motion into a type from among types of a user's motions.

Abstract: In a numerically controlled machine tool which has a linear feed axis and a rotational feed axis and in which a main spindle and a table are movable relative to each other, a position error and an attitude error produced by an operation of a linear feed axis and a rotational feed axis are measured at a plurality of measurement points set within a movable range of the linear feed axis and the rotational feed axis, and the position error and the attitude error thus measured are stored as an error map in correspondence to a position of the linear feed axis and a rotation angle of the rotational feed axis.

Abstract: A method of calculating the position of a moving body includes: detecting a movement direction of the moving body; calculating a velocity vector of the moving body using a detection result of an acceleration sensor installed in the moving body; correcting the velocity vector using the movement direction; and calculating the position of the moving body using the corrected velocity vector.

Abstract: A method for performing transform calibration of an accelerometer of a telematics device during installation in a vehicle includes placing the device in the vehicle at an initial position having a known alignment with a given frame of reference of the vehicle, moving the telematics device from the initial position to a final installation position in the vehicle with a tri-axial rate gyroscope of the device concurrently tracking and integrating the angle changes to provide a set of coordinates of the final installation position, and transform calibrating the accelerometer of the device using the set of coordinates so as to leave the device installed at the final position with its accelerometer transform calibrated with respect to the given frame of reference.

Abstract: A first artifact for use in calibrating a machine-vision coordinate measurement machine includes a body with two targets at opposing ends of the body. The targets are separated by a fixed distance, and are visible to and recognizable by a camera in the coordinate measurement machine. The machine is configured to sequentially move the camera to locations above each target, and record each such camera position. As such, the artifact is useful in assessing the accuracy and calibration of the machine.

Abstract: Provided are a method and apparatus for tuning a trajectory model of a ball. The method includes generating a real trajectory of the ball based on a difference among a plurality of flight images for the ball, calculating kinetic characteristics of the ball based on the real trajectory, correcting at least one of the kinetic characteristics and a characteristic coefficient of the ground based on the real trajectory, and tuning a ball simulation trajectory based on the corrected at least one of the kinetic characteristics and the characteristic coefficient of the ground. A trajectory after the ball collides with the ground can be accurately generated.

Abstract: Methods, devices (such as computer readable media), and systems (such as computer systems) for defining and executing automated movements using robotic arms (such as robotic arms configured for use in performing surgical procedures), so that a remotely-located surgeon is relieved from causing the robotic arm to perform the automated movement through movement of an input device such as a hand controller.

Abstract: The present invention provides a calibration apparatus for calibrating an optical apparatus, which has a scanning member and scans light on an object by rotating the scanning member, including a target member including a region irradiated with light from the scanning member, an obtaining unit configured to obtain a light amount of light reflected by the region, and a processing unit configured to execute processing for calculating a calibration value required to calibrate a rotation angle of the scanning member, wherein the region is configured to be nonplanar so that a light amount obtained by the obtaining unit changes according to a light irradiation position.

Abstract: An electron beam apparatus for inspecting a pattern on a sample using multiple electron beams includes a plurality of primary electro-optical systems and a plurality of secondary electro-optical systems associated with the respective primary electro-optical systems. The primary electro-optical systems are for irradiating multiple primary electron beams on a surface of the sample, and each includes an electron gun having an anode and an objective lens. The secondary electro-optical systems are for inducing secondary electrons emitted from a surface of the sample by irradiation of the primary electron beams. Detectors are each for detecting the secondary electrons and generating electric signals corresponding to the detected electrons. The anodes of the electron guns of the primary electro-optical systems comprise an anode substrate in common having multiple holes corresponding to the axes of the respective primary electro-optical systems. The anode substrate has metal coatings around the respective holes.

Abstract: A method and apparatus for estimating error in a multi-axis controlled machine is applicable to any type of machine configuration in order to estimate and confirm in advance the final position and the posture of the machine, which are produced when geometric errors of the machine are synthesized. The method includes defining the structure of the multi-axis controlled machine subjected to error estimation; and defining parameters, which represent behaviors of drive axes having geometric error and relationships between the drive axes according to the defined structure of the multi-axis controlled machine, adding the defined parameters by applying the parameters to a generalized error synthesis model, and generating an error synthesis model of the multi-axis controlled machine by applying a result of parametric modeling in response to a result of the adding.

Abstract: A geomagnetic application device including a triaxial magnetic sensor, a measurement point acquiring mechanism, a calibration mechanism calibrating offset of the magnetic sensor, and an azimuth calculator. The calibration mechanism includes an offset calculation measurement point selector selecting at least six measurement points of the geomagnetic vectors from among a data set stored in the measurement point storage unit by the measurement point acquiring mechanism and storing the selected measurement points in an offset calculation measurement point storage unit. The offset calculation measurement point selector selects the measurement points from among the data set stored in the measurement point storage unit to include at least six points, component values of which are maximum or minimum in each of three orthogonal axes.

Abstract: Described herein is a method and apparatus for performing calibrations on robotic components. In one embodiment, a method for performing robotic calibrations includes moving the calibrating device across a target (e.g., a wafer chuck). Next, the method includes measuring distances between light spots from the sensors and a perimeter of the target using the sensors located on the calibrating device. Next, the method includes determining a displacement of the calibrating device relative to a center of the target. Then, the method includes determining a rotation angle of the calibrating device relative to a system of coordinates of the target. Next, the method includes calibrating a robot position of the robot based on the displacement and rotation angle of the calibrating device with respect to the target.

Abstract: An angle detection device formed in the shape of a disk includes: a graduation plate having a plurality of graduation lines being provided radially from the center toward the circumference thereof; and two detectors being disposed along the circumference of the graduation plate in a manner to be opposite to each other in a radial direction, the detectors detecting the graduation lines. The angle detection device is configured to calculate a center error based on angles detected by the detectors.

Abstract: A coordinate measuring machine (industrial machine) includes: a column and a support that extend along the Z-axis; a beam being provided between the column and the support; a slider being movable on the beam; a ram being held on the slider movably along the Z-axis direction; a temperature detecting sensor and a temperature detector that detect the respective temperatures of the column, the support and the ram; and a shift amount calculator that calculates a Z-axis shift amount based on the respective temperatures of the column, the support and the ram, reference position data indicating a positional relationship between the column, the support and the ram at a reference temperature, and respective thermal expansion coefficients for the column, the support and the ram.

Abstract: An electron beam apparatus for inspecting a pattern on a sample using multiple electron beams includes a plurality of primary electro-optical systems and a plurality of secondary electro-optical systems associated with the respective primary electro-optical systems. The primary electro-optical systems are for irradiating multiple primary electron beams on a surface of the sample, and each includes an electron gun having an anode and an objective lens. The secondary electro-optical systems are for inducing secondary electrons emitted from a surface of the sample by irradiation of the primary electron beams. Detectors are each for detecting the secondary electrons and generating electric signals corresponding to the detected electrons. The anodes of the electron guns of the primary electro-optical systems comprise an anode substrate in common having multiple holes corresponding to the axes of the respective primary electro-optical systems. The anode substrate has metal coatings around the respective holes.

Abstract: A coordinate measuring machine for determination of at least one spatial coordinate of a measurement point on an object to be measured. The coordinate measuring machine comprises a stationary base, a probe head for approaching the measurement point and a frame structure for linking the probe head to the base. At least a first mechanical reference element extending along a first part of the frame structure is fastened fixedly to the frame structure in a substantially unloaded way, and at least one displacement sensor is assigned to the first reference element, wherein the first reference element and the displacement sensor are designed and arranged in such a way, that a distance from the first reference element to the frame structure in the region of the first part is measurable, the distance indicating a displacement and/or deformation of the frame structure in the region of the first part.

Abstract: In a method for controlling an operation of a coordinate measuring device, at least one operational parameter is determined. One value of the operational parameter is allocated to a plurality of components. A sequence for determining the operational parameter is provided for the majority of the components. The method for determining the operational parameter in the predetermined sequence for each component is now described. It starts with the component that is first in the sequence: i) if the value of the operational parameter is allocated to the component, the value is adopted as a value of the operational parameter that is available for the operation, ii) if no value of the operational parameter is allocated to the components, one available value of the operational parameter that was available until then still remains available, iii) if another component is provided in the sequence, the method is carried out with the component.

Abstract: Distributed computing methods and systems are disclosed, wherein intensive fatigue-risk calculations are partitioned according to available computing resources, parameters of the fatigue-risk calculation, time-sensitive user demands, and the like. Methods are disclosed wherein execution-cost functions are used to allocate accessible computing resources. Additional methods include partitioning calculation tasks by user-prioritized needs and by general mathematical features of the calculations themselves. Included herein are methods to calculate only prediction-maximum likelihoods instead of full probability distributions, to calculate prediction likelihoods using Bayesian prediction techniques (instead of full re-tabulation of all data), to collate interim results of fatigue-risk calculations where serial results can be appropriately collated (e.g., serial time-slice independence of the cumulative task involved), to use simplified (e.g.

Abstract: In a method for determining an offset of measured values of a multiaxial directional sensor using a superposed signal, a large number of multiaxial measured values are recorded first. Measured values, which are recorded in different orientations of the directional sensor, form a geometric figure in a coordinate system resulting from the measuring axes of the sensor, the ideal form of the geometric figure being known and the ideal center point of which being located at the origin of the measuring axes. In the case of a biaxial sensor, the geometric figure is a circle; in the case of a triaxial sensor, it is a sphere around the origin. The superposition caused by the interference is reflected in that the center point of the geometric figure is shifted in relation to the origin of the measuring axes. The offset is measured by determining this shift.

Abstract: The method and device for analyzing position are disclosed. By analyzing sensing information with at least one zero-crossing, each position can be analyzed. The number of analyzed positions may be different from the number of zero-crossings. When the number of analyzed positions is different from the number of zero-crossing, the number of analyzed positions is more than one.

Abstract: A coordinate measuring machine includes a probe having a measurement unit, a movement mechanism for moving the probe and a host computer for controlling the movement mechanism. The host computer includes: a compensation-amount calculating unit for calculating a compensation amount for compensating an error in the position of the measurement unit caused by the movement of the probe; and a compensator for compensating the error in the position of the measurement unit based on the compensation amount calculated by the compensation-amount calculating unit. The compensation-amount calculating unit calculates a translation-compensation amount for compensating a translation error of the probe and a rotation-compensation amount for compensating a rotation error of the probe based on a rotation frequency of the movement of the probe.

Abstract: An inclinometer using a forward speed, a yaw angle rate, a forward acceleration and external altitude information in order to calculate an inclination angle. The inclinometer performs an automatic calibration of an accelerometer bias. The inclinometer may also perform an automatic calibration of an accelerometer position offset. The external altitude information is not required to be continuous.

Abstract: In an electronic device and a method of correcting time-domain reflectometers, two channels of a time-domain reflectometer are connected to a corrector using cables, and the two channels are enabled to transmit pulses. Parameters Step Deskew and Channel Deskew of the two channels are zeroed. Resistance values of the two channels are measured simultaneously, and the value of the parameter Step Deskew of one of the two channels is adjusted according to the Resistance values of the two channels. Times of achieving the same resistance value of the two channels are measured after the cables and the connector have been disconnected, and the value of the parameter Channel Deskew of one of the two channels is adjusted according to the times of achieving the same resistance value. The adjusted values of the parameters Step Deskew and Channel Deskew are displayed through a display unit.

Abstract: A measurement program is created for measurement performed by moving X- and Z-axes so that a central axis of a probe is perpendicular to the surface of a reference sphere, and errors are obtained between original probe position data and probe position data obtained by measurement performed at two different angles ?1 and ?2 of a rotary axis according to the created measurement program. Position coordinates of a tip end of the probe at the two different angles ?1 and ?2 of the rotary axis are corrected so that the errors are zero. Then, the X- and Z-axis coordinates are corrected based on a positive or negative phased shift amount, and measurement errors are obtained by calculation. A real probe tip position is defined by the X- and Z-axis coordinates corrected by a correction amount with which the obtained measurement errors become minimum.

Abstract: The present disclosure includes a method for use on a machine tool system having a controller, three linear axes of motion and at least one rotary axis, for determining the orientation of the rotary axis relative to the linear axes, including mounting a sphere to a system component that rotates about the rotary axis, rotating the component to move the sphere to at least three positions about the rotary axis, measuring a center of the sphere at each of the positions by using the controller to move a probe mounted to a spindle of the system into contact with the sphere, computing, using the controller, a plane fitting the center measurements, and computing, using the controller, a vector normal to the plane passing through a center of rotation of an arc lying in the plane and fitting the center measurements, the vector corresponding to the orientation of the rotary axis.

Abstract: A coordinate measuring machine for determination of at least one spatial coordinate of a measurement point on an object to be measured. The coordinate measuring machine comprises a stationary base, a probe head for approaching the measurement point and a frame structure for linking the probe head to the base. A first reference path is provided by an optical reference beam, wherein the reference beam extends along a guide of a linear drive mechanism so that the reference path is parallel to a first direction. Furthermore, at least one displacement sensor is assigned to the reference beam, the reference beam and the displacement sensor being designed and arranged in such a way, that a displacement of the movable member of the linear drive mechanism relative to the first reference path is measurable being indicative of a translational and/or rotational displacement of the movable member from its ordinary bearing position.

Abstract: A method for tracking a position of an object includes using a field sensor associated with the object to measure field strengths of magnetic fields generated by two or more field generators, wherein a measurement of at least one of the field strengths is subject to a distortion. Rotation-invariant location coordinates of the object are calculated responsively to the measured field strengths. Corrected location coordinates of the object are determined by applying to the rotation-invariant location coordinates a coordinate correcting function so as to adjust a relative contribution of each of the measured field strengths to the corrected location coordinates responsively to the distortion in the measured field strengths.

Abstract: A touch trigger probe is used to determine whether contacts with a workpiece and contains a sleeve, a sensing segment and a transmitting segment. The sleeve extends along an axial direction and includes a first chamber and a second chamber communicating with the first chamber. The sensing segment includes a sensing end extending out of the sleeve and a driving end far from the sensing end. The transmitting segment is pushed by the driving end to move in the second chamber to a triggering position from an original position relative to the sleeve, and includes a driven end protruded axially and capable of contacting with the driving end. Thereby, as the touch trigger probe of the invention has a swing sensing travel for lateral contact and an elevation sensing travel for longitudinal contact, excessive sensing elements can be avoided to lower production costs and obtain positioning precision.

Abstract: A method for determination of interface particles used in a particle method is proposed. According to the present invention, the method for determination includes a density acquiring step of acquiring density in a predetermined range based on a determining-target particle, a first discriminating step of comparing the density with a predetermined threshold, a second discriminating step of determining a symmetry of an arrangement of the other particles within a predetermined range based on the determining-target particle, and a determining step of determining the determining-target particle as an interface particle in the case that the density determined by the first discriminating step is found to be smaller than the predetermined threshold and the arrangement of the other particles determined by the second discriminating step is found to be asymmetrical.

Abstract: Acceleration and attitude angles are measured by sensors mounted on a moving object and the measurement results are collected. The measurement results of acceleration are separated into low-frequency acceleration components and high-frequency acceleration components, and a time-rate-of-changes of attitude angles are calculated based on the measurement results of the attitude angles. After finishing extraction of the high-frequency acceleration components and the low-frequency acceleration components, and finishing calculation of the time-rate-of-changes of attitude angles, the rotation contributing acceleration and translation contributing acceleration are estimated based on the high-frequency acceleration components, the low-frequency acceleration components, the attitude angles and the time-rate-of-change of attitude angles.

Abstract: A method is provided for reporting location of a buried object detected by a utility locator device. The method includes: determining location of a buried object using electromagnetic field emissions emitted from a utility locator device, determining global coordinates for the location of the buried object using a global positioning system (GPS), determining an accuracy measure for the global coordinates using the accuracy of the location determined by the locator and the accuracy of the GPS; and reporting the global coordinates for the buried object, along with the accuracy measure, to an operator of the utility locator device. An operator of the locator may be notified when the accuracy measure for the global coordinates exceeds a tolerance for reporting the location of the buried object.

Abstract: Provided is method of calibrating Y-axis direction position of contact tip of form measuring instrument including: table rotatable about Z-axis; contact tip capable of contacting workpiece; and contact tip driving means to drive contact tip in at least X- and Z-axis directions among X-, Y- and Z-axis directions perpendicular to one another. Method performs tracing measurement of inclined surface or inclined cylinder side surface which is part of workpiece obtained by inclining workpiece placed on table about Y-axis, or side surface of off-centered cylinder having center axis off-centered in X-axis direction by rotating surface to obtain measurement value at each angular position of rotation of table, obtains angular position of rotation at which smallest value among measurement values of tracing measurement is detected as angular position of rotation with smallest detected value, and adjusts Y-axis direction position of contact tip based on angular position of rotation with smallest detected value.