Abstract: A method for determining trajectory of a mobile object, including: provision of an object including sensors; displacement of the sensors along one and the same trajectory, the sensors maintaining one and the same distance between themselves and each measuring one and the same physical quantity; determination of instants for which the object has travelled an aggregate curvilinear distance which is equal to an integer multiple of the distance and calculation of a direction tangent to the trajectory of the object, for each of the instants determined; automatic reconstruction of the trajectory followed by the mobile object during its displacement by an interpolation, based on, for each reference instant determined, the measured tangent calculated for the reference instant.

Abstract: A method for determining the bend of a tubular structure, including determining the inclination of first and second rigid objects fixed in distinct locations along the tubular structure. The method includes supplying accelerometers (A1, . . . AN) rigidly linked by the object to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear. The measurement, by the accelerometers, of the components of the Earth's gravitational field along said directions of measurement, the measurement providing, for each of said directions, a measurement value, denoted mj for a measurement direction of index i. The method includes solving a defined matrix equation to determine the inclination ? of the object relative to the reference frame of reference.

Abstract: A method for determining trajectory of a mobile object, including: provision of an object including sensors; displacement of the sensors along one and the same trajectory, the sensors maintaining one and the same distance between themselves and each measuring one and the same physical quantity; determination of instants for which the object has travelled an aggregate curvilinear distance which is equal to an integer multiple of the distance and calculation of a direction tangent to the trajectory of the object, for each of the instants determined; automatic reconstruction of the trajectory followed by the mobile object during its displacement by an interpolation, based on, for each reference instant determined, the measured tangent calculated for the reference instant.

Abstract: Determining an object's inclination fixed reference frame relative to a gravity field includes supplying circularly disposed accelerometers rigidly linked by the object and measuring in non-collinear directions. A radius linking it to the circle's center defines an accelerometer's measurement direction. The accelerometers measure components of the field along the measurement directions to provide measurement values. Then, a matrix equation is solved to obtain the object's inclination relative to the reference frame.

Abstract: A method for determining the bend of a tubular structure, including determining the inclination of first and second rigid objects fixed in distinct locations along the tubular structure. The method includes supplying accelerometers (A1, . . . AN) rigidly linked by the object to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear. The measurement, by the accelerometers, of the components of the Earth's gravitational field along said directions of measurement, the measurement providing, for each of said directions, a measurement value, denoted mj for a measurement direction of index i. The method includes solving a defined matrix equation to determine the inclination ? of the object relative to the reference frame of reference.

Abstract: According to the invention, a set of sensors (4a) is placed on this shape (curve or surface), each sensor outputting signals representative of the orientation of the curve or the surface at the location of this sensor; a model of the curve or the surface is chosen; model parameters are determined from the signals; and the spatial distribution of the points on the geometric shape are determined using these parameters. The invention particularly applies to machining, joinery, masonry, and building domains.

Abstract: Identifying measurement subset comprising a disturbed measurement disturbed by a magnetic disturber includes emitting and measuring magnetic fields using mono-axial source/mono-axial transducer pairs to obtain real measurements distinguished by position of a source used to emit the field, position of transducer used to measure the field, and field frequency, a source being tied to a mobile object and the transducer tied to a frame of reference in which a position of the mobile object is to be expressed (or vice versa), estimating position of the object in the reference frame based on an observer and involving only a first subset of the measurements, estimating the measurements based at least in part on the estimated position Pi and on a direct model linking the object's position to the measurements, and determining whether or not the first measurement subset comprises a disturbed measurement by comparing the estimated and real measurements.

Abstract: Determining an object's inclination fixed reference frame relative to a gravity field includes supplying circularly disposed accelerometers rigidly linked by the object and measuring in non-collinear directions. A radius linking it to the circle's center defines an accelerometer's measurement direction. The accelerometers measure components of the field along the measurement directions to provide measurement values. Then, a matrix equation is solved to obtain the object's inclination relative to the reference frame.

Abstract: Systems and methods for recognizing the gestures of an entity, notably a human being, and, optionally, for controlling an electrical or electronic system or apparatus, are discussed. The system uses sensors that measure signals, preferentially representative of inertial data about the movements of said entity, and implements a process for enriching a dictionary of said gestures to be recognized and a recognition algorithm, for recognition among the classes of gestures in said dictionary. The algorithm implemented is preferably of the dynamic time warping type. The system carries out preprocessing operations, such as the elimination of signals captured during periods of inactivity of the entity, subsampling of the signals, and normalization of the measurements by reduction, and preferentially uses, to classify the gestures, specific distance calculation modes and modes for merging or voting between the various measurements by the sensors.

Abstract: Identifying measurement subset comprising a disturbed measurement disturbed by a magnetic disturber includes emitting and measuring magnetic fields using mono-axial source/mono-axial transducer pairs to obtain real measurements distinguished by position of a source used to emit the field, position of transducer used to measure the field, and field frequency, a source being tied to a mobile object and the transducer tied to a frame of reference in which a position of the mobile object is to be expressed (or vice versa), estimating position of the object in the reference frame based on an observer and involving only a first subset of the measurements, estimating the measurements based at least in part on the estimated position Pi and on a direct model linking the object's position to the measurements, and determining whether or not the first measurement subset comprises a disturbed measurement by comparing the estimated and real measurements.

Abstract: According to the invention, a set of sensors (4a) is placed on this shape (curve or surface), each sensor outputting signals representative of the orientation of the curve or the surface at the location of this sensor; a model of the curve or the surface is chosen; model parameters are determined from the signals; and the spatial distribution of the points on the geometric shape are determined using these parameters. The invention particularly applies to machining, joinery, masonry, and building domains.