Exact(14)
Using a rotational matrix the coordinates of F-actin was rotated keeping the Tm dimer constantly in place.
R C W is the rotational matrix from world frame to camera frame, represented by using the elementary rotations [15], R C W = c ϕ y c ϕ z s ϕ x s ϕ y c ϕ z - c ϕ x s ϕ z c ϕ x s ϕ y c ϕ z + s ϕ x s ϕ z c ϕ y s ϕ z s ϕ x s ϕ y s ϕ z + c ϕ x c ϕ z c ϕ x s ϕ y s ϕ z - s ϕ x c ϕ z - s ϕ y s ϕ x c ϕ y c ϕ x c ϕ y (11).
All points were converted to the new reference plane through a three-dimensional rotational matrix.
R k is a rotational matrix that transforms absolute coordinates to relative coordinates based on the k th surface.
The RBD model deploys rotational quaternions, which are free from the gimbal lock that is associated with Euler rotational matrix.
Retention of the rotational matrix and translation vector is a practical approach to retain a superposition between conformers to avoid having to re-compute a superposition or store modified coordinates of a conformer.
Similar(46)
The alignment between the query conformer and database conformer is determined using the retained rotational matrices and translational vectors relative to that reference shape.
This image transformation was performed employing rotational matrices and using the 2D surface between the islands as well as the known {111} island facets as references.
A novel aspect of our method, which we call "alignment-recycling", comes from recycling the translational and rotational matrices resulting from the shape overlay during the initial selection of diverse shapes.
Different rotational matrixes were calculated for A, B, C, and D positions.
The analytical solution for the rotation matrix is for constant rotational strains expressed by the matrix exponential.
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