Three-dimensional (3-D) data mosaic is a indispensable link in surface measurement and digital terrain map
generation. With respect to the mosaic problem of the local unorganized cloud points with rude registration and mass
mismatched points, a new mosaic method for 3-D surface based on RANSAC is proposed. Every circular of this method
is processed sequentially by random sample with additional shape constraint, data normalization of cloud points, absolute
orientation, data denormalization of cloud points, inlier number statistic, etc. After N random sample trials the largest
consensus set is selected, and at last the model is re-estimated using all the points in the selected subset. The minimal
subset is composed of three non-colinear points which form a triangle. The shape of triangle is considered in random
sample selection in order to make the sample selection reasonable. A new coordinate system transformation algorithm
presented in this paper is used to avoid the singularity. The whole rotation transformation between the two coordinate
systems can be solved by twice rotations expressed by Euler angle vector, each rotation has explicit physical means. Both
simulation and real data are used to prove the correctness and validity of this mosaic method. This method has better
noise immunity due to its robust estimation property, and has high accuracy as the shape constraint is added to random
sample and the data normalization added to the absolute orientation. This method is applicable for high precision
measurement of three-dimensional surface and also for the 3-D terrain mosaic.
A novel camera calibration method based on circular ring is proposed in this paper. It has been proven that the first
two columns of calculated point transfer homography mapping from the circular ring plane to the image plane have one
isometric ambiguity. But in that case the restriction of homography on the IAC (the image of absolute conic) is still
tenable, so the restriction could be applied to the calibration of the internal camera parameters. The ambiguity of the first
two columns of homography directly results in the isometric ambiguity of the rotation matrix which can be explained in
geometry as the isotropy of circular ring. But the third column of homography has no ambiguity, so the unique of which
could not lead to the ambiguity of the translation vector. The external camera parameters can be calibrated using circular
ring while there is a discrepancy of isometric transformation of rotation matrix within the model plane, which is most
distinguished from the principle of the other plane-based calibration method such as points, lines and multiple conics.
The proposed method has two distinctly superiority over the calibration based on coplanar points or lines: Better noise
immunity because of the global property of the circular ring feature, and automatic calibration because the image
matching of the circular ring feature is much easier compared with the one of points or lines. Both simulation and real
data are used to prove the correctness, high accuracy and robustness of our calibration method.
KEYWORDS: 3D metrology, 3D modeling, 3D image processing, Projection systems, Cameras, 3D image reconstruction, Stereoscopic cameras, Calibration, Photogrammetry, Reflectivity
Fast and accurate 3D measurement of large stack-yard is important job in bulk load-and-unload and logistics
management. Stack-yard holds its special characteristics as: complex and irregular shape, single surface texture and low
material reflectivity, thus its 3D measurement is quite difficult to be realized by traditional non-contacting methods, such
as LiDAR(LIght Detecting And Ranging) and photogrammetry. Light-section is good at the measurement of small
bulk-flow but not suitable for large-scale bulk-yard yet. In the paper, an improved method based on stereo cameras and
laser-line projector is proposed. The due theoretical model is composed from such three key points: corresponding point
of contour edge matching in stereo imagery based on gradient and epipolar-line constraint, 3D point-set calculating for
stereo imagery projected-contour edge with least square adjustment and forward intersection, then the projected
3D-contour reconstructed by RANSAC(RANdom SAmpling Consensus) and contour spatial features from 3D point-set
of single contour edge. In this way, stack-yard surface can be scanned easily by the laser-line projector, and certain
region's 3D shape can be reconstructed automatically by stereo cameras on an observing position. Experiment proved the
proposed method is effective for bulk-yard 3D measurement in fast, automatic, reliable and accurate way.
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