Finding the optimal/best rotation and translation between two sets of corresponding 3D point data, so that they are aligned/registered, is a common problem I come across. An illustration of the problem is shown below for the simplest case of 3 corresponding points (the minimum required points ...
The angle between these two domains in 1MCPl is obtuse, while a significant bend results in a sharp angle in 1TCRb. Both domains and their different relative positions are interesting to biologists. Methods searching for a single good alignment of two proteins are however unable to obtain this...
Then, calculate the angle between the normal vector and the line passing through atom i and one of the vertices of this triangle using the following relation: cosθ=x1−xi·Nx1−xiN, Finally, we compute this distance by d i = |x 1 − x i | cos θ, where x i...
The middle frame is labeled as M0. Let's use the mirror M1 as an example. Each of the four vertices of the frame rectangle, Pi has a corresponding image point pi = (ai, bi, f), i = 1, 2, 3, 4. These image points can also be viewed as vectors from the optical center O ...
The orbit can be expressed in polar coordinates as r=p/(1-ecos(theta)) where r and theta are the distance and angle of the satellite from the center of the earth, p is a paremter where p=1200 km, and e is a parameter representing eccentricity. I'm supposed to write a program to...
The processor identifies overlapping depth measurements using the methods described above. In some embodiments, there can be inconsistency between vector measurements from a first and second field of view, and hence estimated depths, to the same object in the place due to noise, such as measurement...
However, sonographer visual attention changes on subsequent frames, transitioning between key anatomical landmarks. Our hypothesis is that dynamic visual attention models (Xingjian et al., 2015) can learn the temporal transition of visual attention between frames to predict the attention maps on US ...
10.The system of claim 3 wherein the antenna array is mounted in a metal housing comprising metallic side-walls positioned between the individual antennas and having a top and bottom surface positioned above and below the antennas respectively and the antennas align parallel to an axial axis throu...
SIGNAL DIRECTION FINDING METHOD USING FORWARD/BACKWARD VECTORS TO ESTIMATE THE ARRIVAL ANGLE OF A SIGNAL ENTERING A SENSOR ARRAYPURPOSE: A signal direction finding method using forward/backward vectors is provided to improve the accuracy of estimation of signal arrival angle and increase the number of...
In short, two approaches are possible: (1) modelling the final geometry; or (2) modelling the deformation process by means of form-finding methods, which allows residual stresses to be obtained. 2.1. Numerical Modelling for Structural Analysis from the Final Geometry For elastic timber gridshells...