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For this aim, we compute the shape context descriptor to each of the 14 landmarks.
The matrix block size (fracture spacing) to compute the shape factor is primarily obtained from borehole images.
To obtain the shape context descriptor of the contour, we need to compute the shape context descriptor for every single point of the contour.
In particular, a procedure able to compute the shape perturbations due to given deformations of the coils has been set up and used to carry out a thorough statistical analysis of the error field-shape perturbations relationship.
For the fifteen million conformers used in this study, it took about four CPU years to compute the shape fingerprints using 64-bit 3-GHz Intel dual-core Xeon processors.
The circle domain of support, linear basis, and fourth-order spline weight function are applied to compute the shape function, and Bubnov Galerkin method is applied to discretize the PDEs.
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Therefore, we set out here to provide a runtime heustistic to compute the shapes of highest probability.
Our presentation is organised as follows: We first show how to compute the shapes and Boltzmann-weighted energies of individual structures, and, by analogous means, the partition function.
The advantages and disadvantages of various uncertainty analysis approaches, which use approximate representations of the full nonlinear model using power series or polynomial chaos expansions, are discussed in terms of computational cost and accuracy in computing the shape and tails of the state and output distributions.
When computing the shape fingerprint of a conformer, if a reference shape has a shape optimized superposition that is greater than or equal to the fingerprint shape similarity threshold, the corresponding 3-D fingerprint bit is set.
In our method, the 3D conformer overlay used in computing the shape Tanimoto is generated by simply reusing the transformation, i.e., the rotation matrix and translation vector, from the overlay to the common reference shape.
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