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108 results about "Vector projection" patented technology

The vector projection of a vector a on (or onto) a nonzero vector b (also known as the vector component or vector resolution of a in the direction of b) is the orthogonal projection of a onto a straight line parallel to b. It is a vector parallel to b, defined as ๐šโ‚=aโ‚๐› where aโ‚ is a scalar, called the scalar projection of a onto b, and bฬ‚ is the unit vector in the direction of b. In turn, the scalar projection is defined as aโ‚=|๐š|cosฮธ=๐šยท๐›=๐šยท๐›/|๐›| where the operator โ‹… denotes a dot product, โ€–aโ€– is the length of a, and ฮธ is the angle between a and b.

Plant three-dimensional measurement method and system based on PTZ camera system parameters and video frames

The invention relates to the field of digital image measurement, and proposes a plant three-dimensional measurement method and system based on PTZ camera system parameters and video frames. The method comprises the steps: S1, the calibration of PTZ camera system parameters: an axial image distance, image space and object space corresponding coefficients, an image shift rate pitching value fitting equation and coefficients; S2, a corresponding image point rectification model: an inter-frame image vector conversion model, an optical axis movement vector, a corresponding image point two-dimensional rectification matrix, and differential optimization verification; S3, point cloud world coordinate algorithm: a corresponding image point three-dimensional matrix, an inter-frame double-optical-system vector projection relation model, a PTZ camera system movement vector measurement model, three-dimensional point cloud coordinate obtaining, and a gray scale material correction factor; S4, plant local measurement method. The system comprises the following parts: S1, a PTZ camera system parameter obtaining module; S2, a corresponding image point rectification module; S3, a three-dimensional measurement module; S4, a plant local measurement module. Compared with other digital mapping technologies, the method does not need an object space control point, is strong in environmental adaptation, is high in equipment compatibility, and reduces the cost.
Owner:CHINA AGRI UNIV

Method for imaging actual aperture foresight on basis of subspace projection

The invention discloses a method for imaging an actual aperture foresight on basis of subspace projection, which mainly solves the high resolution imaging problem of a right ahead object of a flightpath. The method has the detection processes that: 1) radar beams are sent out at equal intervals for carrying out sequence overlap scanning on a ground monitoring area to obtain the radar return data; 2) a modular arithmetic is utilized to extract the intensity vector of the return data; 3) the autocorrelation matrix of the intensity vector of the return data is gained; 4) eigen decomposition is carried out on the autocorrelation matrix; 5) the corresponding eigenvector of a small eigenvalue is used for forming a noise subspace; 6) a pattern search vector is defined; 7) the pattern search vector is projected into the noise subspace; 8) the peak values of a spatial spectrum function are calculated; and 9) the number of the signal is determined according to the number of the peak values of the spatial spectrum function for realizing foresight imaging. The method has the advantage of improving the resolution precision of an adjacent target in a main lobe, and can be used for an airborne radar monitoring system in the imaging field for realizing the detection and the recognition for a target on a track line.
Owner:XIDIAN UNIV

Water body modeling method for shallow water equation model with optimized parameters

The invention discloses a water body modeling method for a shallow water equation model with optimized parameters. According to the method, first, a three-dimensional dynamic coordinate system is constructed, and the shallow water equation model with optimized parameters is derived; when the model is solved, a reverse path tracking method and a method of characteristics are combined to solve an advective item in an equation, a vector projection method and a Fourier transformation method are combined to solve the effect of external acting force on a water body, and therefore a velocity field and a height field are updated; next, boundary check is performed, a boundary truncation method is adopted to process mesh points beyond a boundary; and last, the height field is drawn, and a next time period is processed cyclically. Compared with a traditional shallow water equation, when the contact surface between the water body and a solid is excessively steep, a water body model can be constructed more vividly and accurately, and the velocity of average 24.9 frame/second can be reached in the water body modeling simulation process; compared with a traditional method, the velocity is increased by 29.016%, and real-time simulation can be realized basically.
Owner:BEIHANG UNIV

Spacecraft optical sensor view field analysis method based on vector projection

ActiveCN105947239APrecision Field AnalysisIntuitive field of view analysisCosmonautic vehiclesSpacecraft guiding apparatusField analysisSystem transformation
The invention provides a spacecraft optical sensor view field analysis method based on vector projection. The spacecraft optical sensor view field analysis method based on vector projection comprises the steps that firstly, in a satellite model with the optical sensor configuration and layout design completed, the center coordinate of a sensor view field, the coordinates of all target points on the shielding edge of a shielding object, and the included angles between all axes of a spacecraft body system and all axes of a sensor measurement coordinate system are obtained, and a body system-to-measurement coordinate system transformation matrix is obtained; secondly, the coordinates of all target vectors of the shielding edge in the sensor measurement coordinate system are calculated, and the polar coordinates of all the target vectors of the shielding edge in the sensor measurement coordinate system are obtained; thirdly, the criterion is formed according to a shielding area, and a shielding area result is obtained; fourthly, the component of the sun-direction vector in the body coordinate system under a specific posture track condition is obtained, and the polar coordinates of the sun-direction vector in the sensor measurement coordinate system are obtained; and finally, the sun shielding effectiveness and the view field irradiation condition are judged according to the criterion.
Owner:BEIJING INST OF SPACECRAFT SYST ENG

Health assessment method for diesel engine main bearing

The invention discloses a health assessment method for a diesel engine main bearing, and the method comprises the steps of collecting vibration signals of the main bearing under different faults, and obtaining a visual phase trajectory diagram through phase-space reconstruction and main vector projection; building a deep convolutional neural network model; labeling various fault phase trajectory diagrams, creating a training set, and inputting the training set into the model for learning; when the cross entropy loss function is minimum, stopping iteration, and storing the diagnosis model; on the other hand, collecting vibration signals of various fault main bearings in different health states, calculating and counting the maximum Lyapunov exponent mean value, and using the maximum Lyapunov exponent mean value as a health assessment standard. During evaluation, health evaluation is carried out according to a corresponding health evaluation standard on the basis of a principle of proximity aiming at the fault type. According to the invention, on-line comprehensive monitoring of the service state of the main bearing can be realized, the maintenance mode of the main bearing can be promoted from regular replacement to condition-based maintenance, and the economic benefit can be obviously improved.
Owner:JIANGSU UNIV OF SCI & TECH
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