Sentence examples for by modifying a variational from inspiring English sources

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Adding shape knowledge can be achieved by modifying a variational energy functional designed for segmentation by adding an additional term that penalises deviation from a particular shape.

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The variational principle is deduced from a general principle of physics by modifying it through an involutory transformation.

Firstly, a feature template for creating a customized 3D garment is defined according to the features on a human model; secondly, the profiles of the 3D garment are specified through 2D sketches; finally, a smooth mesh surface interpolating the specified profiles is constructed by a modified variational subdivision scheme.

The final solutions are determined by a modified variational principle, in which each of the basic plate variables is approximated by the spectral method.

The continuity constraints on common interfaces of adjacent layer segments are imposed by a modified variational principle, and the displacement components of each layer segment are assumed in the form of orthogonal polynomials and/or trigonometric functions.

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Based on the higher-order zig-zag theory, the structure model of the multilayered shell is formulated by using a modified variational method combined with a multi-segment technique, whereas a Chebyshev spectral Kirchhoff–Helmholtz integral formulation is employed to model the exterior acoustic fluid.

Complete functions are used to represent displacements, with coefficients being chosen by using a modified variational principle.

The formulation is derived by means of a modified variational principle in conjunction with a multi-segment partitioning procedure on the basis of the first-order shear deformation shell theory.

The method consists of three stages: blob detection by global thresholding; blob separation by watershed; and punctum modeling by a variational Bayesian Gaussian mixture models.

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