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where Hi 1 and Hi 2 (i = 1,2,3,4) are the row and column translation matrices to translate a specific block from B i to A i, as shown in Figure 4.
The chapter presents the concept of a linear transformation using rotation and translation matrices.
where A is the intrinsic parameters matrix, and R and T are the rotation and translation matrices with respect to the 3D world reference.
In addition, the computational efficiency of the FDA is further promoted by exploiting the low-rank features of the translation matrices, resulting in two- to three-fold reduction in the computational time of the multipole-to-local translations.
Gradually, the required rotation and translation matrices of the local coordinate system of the robot-end-effector relative to the basic system are calculated and subsequently the Euler angles of rotation are determined corresponding to the transformation matrices.
Because the essential matrix is composed of rotation and translation matrices, it can be expressed as: E={left[ tright]}_{times } R=mathrm{S}mathrm{R}={mathrm{U}Sigma mathrm{V}}^{mathrm{T}} (4).
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C. elegans data was used to create the translation matrix used by ESTScan, to translate potential coding regions in the assembled contigs into protein sequences.
Other Star Trek series keep mentioning a vaguely described translation matrix, which is used to facilitate translation.
A translation matrix is then estimated using tracked feature points, and this translation matrix is refined by the ICP algorithm using depth maps.
Easily, compatible rotation matrix and translation matrix can be deduced base on the singular value decomposition of the fundamental matrix.
The method utilizes measured three datum-point data in different coordinate systems to calculate the rotation and translation matrix.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com