Sentence examples for transformations rotation from inspiring English sources

The similarity transformations (rotation R, translation t, and scaling s) of other landmark models with respect to the reference model is computed as Eq. (7).

First, it is accurate even if there are some geometric transformations (rotation angle, scaling factor and translation vector) between the object to be segmented and the prior shape.

Unlike simple affine transformations (translation, rotation, dilation, shearing etc)., non-rigid transformations do not necessarily preserve straight lines as different sub-regions of images may move by differing vectors.

The robustness is tested on various attack, some being a median filter, geometrical transformations (translation, rotation and cropping simultaneously applied), a high-pass filter, local notch filter, and Gaussian noise.

We also provide a range of relief editing tools, also using differential coordinates, permitting both global transformations (translation, rotation, and scaling) of the whole relief, as well as local modifications to the relief.

It is composed of 12 degrees of freedom, 3 for each of the possible transformations: translation, rotation, scaling and shearing.

The mean image produced from the realignment stage was then spatially normalized to an MNI template image, using a 12-parameter linear affine transformation (translation, rotation, zoom, and shear in x, y, and z directions) and a linear combination of three dimensional discrete cosine transform basis functions.

After identifying pairs of junctions conserved in both meshes using the lineage information, we project for each cell the junctions on the average cell plane and compute a best fit of the 2D transformation (translation, rotation, anisotropic scaling) that will minimize the squared distance between pairs of junctions (Goodall and Green, 1986; Routier-Kierzkowska and Kwiatkowska, 2008).

Each observed joint is then tested to see if it is far enough from the landmark at 6 to potentially be either point 1 or 2. If it is, then the direction from the joint to landmark is used to define an affine transformation (translation, rotation, x and y scaling and shear) of all the observed joints.

First, the algorithm searches for all possible crystallographic point groups for the lattice, to identify all linear transformations (rotations, inversions...etc), which transform the cell to itself.

For the analysis of symmetry under rotation of order 6, the symmetry group contains six symmetry transformations: rotations by 60°, 120°, 180°, 240°, 300°, and 360° (the latter is the same as the identity).