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68 results about "Cross-ratio" patented technology

In geometry, the cross-ratio, also called the double ratio and anharmonic ratio, is a number associated with a list of four collinear points, particularly points on a projective line. Given four points A, B, C and D on a line, their cross ratio is defined as (A,B;C,D)=AC·BD/BC·AD where an orientation of the line determines the sign of each distance and the distance is measured as projected into Euclidean space.

Image pickup system employing a three-dimensional reference object

The present invention provides a three-dimensional chart, a parameter acquiring method and an information processing device that are used for carrying out camera calibration in a wide range with high precision. For this reason, a plurality of unit graphic forms the sizes of which are coded by using different cross-ratios are placed on side faces of a three-dimensional chart. The cross-ratios of unit graphic forms are calculated from a picked-up image of the three-dimensional chart, and by collating these with actual values, the position and orientation of the image-pickup point are determined. The shifting average of the heights of the unit graphic forms is made approximately proportional to the distance from the apex so that it is possible to reduce the limitation of image-pickup distances. A movable camera is attached to a subject-use camera, and upon picking up an image of the subject, an image of the three-dimensional chart is also picked up simultaneously. Based upon the position and orientation of the movable camera found out by the above-mentioned sequence of image-pickup processes and the relative position and orientation between the two cameras that have been preliminarily found, it is possible to determine the position and orientation of the subject-use camera.
Owner:MINOLTA CO LTD

Line structured light visual sensor calibration method based on sawtooth target

The present invention discloses a line structured light visual sensor calibration method based on a sawtooth target. The method comprises: in the condition that a camera has no an optical filter, performing calibration of the camera in a line structured light visual sensor; installing an optical filter at the front portion of the camera lens, allowing the camera to shoot a sawtooth target image with a light bar, obtaining image coordinates of the intersection point of the light bar and the target tooth-shaped edge, namely the image coordinates of feature points, and solving the three-dimensional coordinates of the feature points in the camera coordinate system based on the principle of cross-ratio invariance; considering an optical filter refraction model, and solving the parameters of the optical fiber and the three-dimensional coordinates of the feature points after optimization in the camera coordinate system through the nonlinear optimization method; and moving the target for more than two times, obtaining the three-dimensional coordinates of all the position feature points of the target in the camera coordinate system, fitting the three-dimensional coordinate points to solve a light plane equation, and completing the calibration. The line structured light visual sensor calibration method based on the sawtooth target is suitable for a field complex light environment and even can complete line structured vision sensor calibration in the condition that the camera has the optical filter.
Owner:BEIHANG UNIV

Method for solving parameters in parabolic catadioptric camera through three unparallel straight lines in checkerboard

The invention relates to a method for linearly solving parameters in a parabolic catadioptric camera through three unparallel straight lines in a checkerboard. The method is characterized in that only linear elements are utilized, and a template is composed of the three unparallel straight lines on the checkerboard; parabolic catadioptric images of the straight lines are quadratic curves, the parabolic catadioptric camera is used for taking an image of a target, image points of the target are extracted from the image first, fitting is conducted to obtain the curve equation, and the intersection points of every two curves are solved, six sets of orthogonal fading points on the image plane are then obtained according to the geometric properties of a circle and the cross ratio invariance property, and the parameters in the parabolic catadioptric camera are linearly solved for constraints on images of the absolute quadratic curves through the orthogonal fading points. According to the method, the target can be calibrated in a full-automatic mode, and errors caused by measurement in the calibration process are reduced. Due to the fact that the straight lines are the simpler and more comprehensive elements, calibration accuracy is improved in the calibration process of the camera.
Owner:YUNNAN UNIV

Line structure cursor calibration method based on projection geometry

The invention discloses a line structure cursor calibration method based on projection geometry, which comprises the following steps of: acquiring a fringe image which comprises a laser and is projected on a calibration plate, and solving a camera internal parameter by utilizing a tensor calibration method. Information of related straight lines and intersection points is obtained through image processing, a blanking line equation corresponding to a target plane is obtained through homogeneous coordinate expression of parallel straight lines, then blanking point coordinates corresponding to laser stripes are obtained, and a direction vector of the laser stripes in a camera coordinate system is obtained through further conversion; the Euclidean distance between two feature points on a laserstripe is obtained by using a projection property with an invariable cross ratio, three-dimensional coordinates of the feature points in a camera coordinate system are obtained by combining a direction vector and imaging model information and combining an equation set, plane fitting is performed on the coordinates of all the image feature points by using a least square method to obtain a light plane equation, and line structure cursor calibration is completed. According to the method, the characteristics and properties of projection geometry are used for calibration, other measurement devicesare not needed, the precision is high, and the method is simple and feasible.
Owner:SOUTH CHINA UNIV OF TECH

Method for calibrating conic refraction and reflection camera of non-center axial symmetrical system

The invention relates to a method for calibrating a conic refraction and reflection camera of a non-center axial symmetrical system. The method includes: a calibration block image is shot by employing the conic refraction and reflection camera, principal point locus curves are constrained through image points of the refraction and reflection image, and the coordinate of a principal point is determined by multiple loci; the polar line of the principal point is solved by employing a contour circle formed by a certain image point, wherein the intersection point of the polar line and a tangent passing the image point and the intersection point of the principal point and a connecting line of the image points are a group of vanishing points in the orthogonal direction; and two groups of vanishing points in the orthogonal direction are calculated by employing two image points so that the scale factor and the distortion factor of the conic mirror refraction and reflection camera are solved. By employing the method, the cross ratio is determined by directly employing the distances between the points on lines of the spatial calibration block, and point selection on the lines of the spatial calibration block is easy, convenient and accurate so that the accuracy of calibration results is improved.
Owner:YUNNAN UNIV

Method of solving intrinsic parameters of camera with regular pentagonal prismatic table

The invention discloses a target used for self-calibrating of a camera and consisting of a regular prismatic table with regular pentagonal bottom surfaces. A method comprises the particular steps as follows: characteristic points on the upper bottom surface and the two side faces of the regular positive pentagonal prismatic table are extracted from an image; coordinates of vanishing points on a plane of the image are solved according to attributes that an intersection point of two parallel straight lines is an infinite point, and a simulacrum of the infinite point is the vanishing point, and according to the attribute of a cross ratio of four collinear points; intrinsic parameters of the camera are solved linearly according to constraint of the orthogonal vanishing points on an absolute conic; two images of the target are shot in different directions; the coordinates of the characteristic points on the images are extracted; the orthogonal vanishing points on the upper bottom surface and the two side faces of the regular positive pentagonal prismatic table are calculated; constraint equations of the orthogonal vanishing points relevant to the intrinsic parameters of the camera are established; and matrixes of the intrinsic parameters of the camera are solved linearly. With the adoption of the target, full automatic calibration can be realized, and errors due to measuring in a calibrating process are reduced. The vanishing points are more concise and global elements, and the accuracy is improved in the calibrating process.
Owner:YUNNAN UNIV

Camera mounting position calibration method based on plane mirror

The invention discloses a camera installation position calibration method based on a plane mirror, and belongs to the technical field of photogrammetry of optical systems. The present invention includes the following steps: placing the one-dimensional target in front of the camera for several times, calculating the initial value of the pose of the one-dimensional target in the camera coordinate system according to the cross-ratio invariance, and obtaining the target position by minimizing the reprojection error The optimal solution of the pose of the plane mirror; the closed-form solution method is used to calculate the mirror normal vector and the distance from the optical center of the camera to the mirror; then the optimal solution of the plane mirror pose is obtained by minimizing the reflection and reprojection error; when the mirror pose is determined, combined with the camera The conversion relationship between the coordinate system and the platform virtual image coordinate system is obtained, and the conversion relationship between the camera coordinate system and the platform real image coordinate system is obtained, and the calibration of the camera installation parameters is completed. The present invention does not need to know the target motion and the attitude information of the camera in advance, and the attitude of the mirror surface can be obtained by placing the position at least twice, which is simple and convenient to realize, and is especially suitable for the occasion where the camera and the mirror surface are in fixed positions.
Owner:BEIHANG UNIV

Method for measuring tailings pond dry beach length by utilizing machine vision

The invention relates to a method for measuring tailings pond dry beach length by utilizing machine vision. The method comprises the steps of setting three marker posts on a tailings dry beach, wherein the three marker posts are in one straight line, which is perpendicular to a dam body; respectively measuring the distance between each two adjacent marker posts, and the distance from each marker post to the dam body; utilizing a color high-definition digital video camera for shooting a digital image, and extracting positions of the three marker posts in the digital image; dividing the digital image into a dry beach area and a water area; fitting position coordinates of the three marker posts in the digital image into a straight line, and calculating position points of the marker posts on the fitted straight line and cross ratio of boundary intersection points; utilizing the property of constant cross ratio for calculating the distance of the dry beach. By utilizing the machine vision for automatically measuring the dry beach length, no other factors such as dry beach slope and dam water level height needed to be referred, so that the method has the characteristics of convenience in implementation, low measuring system cost and small measurement error, and has a higher application value.
Owner:UNIV OF SCI & TECH LIAONING

Video synchronization method based on projection unchangeable descriptor

The invention provides a video synchronization method based on a projection unchangeable descriptor. The objective of the invention is to solve a technical problem of the quite narrow applicable range caused by the fact that the existing method fails to be applicable to video synchronization of different scenes. The method comprises steps of carrying out moving target track extraction and background image matching on an input video; estimating epipolar geometries between background images; based on the cross ratio of five coplane points, constructing a projection unchangeable descriptor for each track point; by use of the principle that the nearest-neighbor next nearest neighbor is smaller than a designated threshold value, establishing initial track point matching pairs; by combining the track points, the matching and the epipolar geometries, restraining track point matching pairs without errors; by use of the repeated sampling for many times, constructing scoring matrixes and a thresholding method, and acquiring final frame matching pairs; and finally, using the random sampling consistency algorithm, calculating time model parameters between input videos. According to the invention, the method is suitable for video synchronization of multiple complex scenes; and quite average time synchronization errors and quite high correct matching rate can be acquired.
Owner:XIDIAN UNIV

Combined type combustion chamber for two-stroke aviation heavy oil plunger engine

The invention discloses a combined type combustion chamber for a two-stroke high-power cross-ratio aviation heavy oil plunger engine. The combined type combustion chamber comprises a cylinder body, a cylinder sleeve, a cylinder head, a plunger and a mono-block pump; the cylinder head is fixed to the top of the cylinder body, the cylinder sleeve is fixed in the cylinder body, and the plunger is arranged inside the cylinder sleeve; a concave pit A is designed in the middle of the top surface of the plunger, a concave pit B is designed in the middle of the bottom surface of the cylinder head, and the concave pit A and the concave pit B are all shallow pits; the concave pit A, the concave pit B and the cylinder sleeve are combined together to form the combined type combustion chamber; and the mono-block pump is fixed to the cylinder head, a nozzle of the mono-block pump extends into the combined type combustion chamber, and nozzle holes of the nozzle are located in the concave pit B. Two air inlets and one air outlet which are opposite to each other are designed and formed in the side wall of the lower portion of the cylinder body. According to the combined type combustion chamber, the structure is compact, the power to weight ratio is big, the combustion speed is high, and the maximum combustion pressure is small; the combustion temperature is low, and the air-exhausting quality is good; and the scavenging form is rotational flow scavenging, the charging loss is effectively lowered, and the volume efficiency is improved.
Owner:BEIHANG UNIV
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