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Further we implement level set methods to update the shape of the obstacle.
Then, we use the shape gradient functions in velocity analysis to update the shape of shell structures.
We design an algorithm to update the shape and the impedance function alternatively along the descent direction of the objective functional.
In the shape optimization process, we carry out frequency response analysis to calculate shape gradient function, and then use the shape gradient functions in velocity analysis to update the shape or position of the inlaid material based on the H1 gradient method.
Update the shape parameter with the fixed pose parameter.
Update R θ and T with the fixed shape parameter arg min R θ, T k P R θ S ˜ + T ˜ − s ˜ 2 d β = β k − 1 2 Update the shape parameter with the fixed pose parameter arg min β k P R θ S ˜ + T ˜ − s ˜ 2 d R θ, T = R θ, T k 2 4.
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Meanwhile, the simplified conjugate-gradient method (SCGM) is used as the optimization method which continuously updates the shape until the objective function is minimized.
The optimal model parameters are determined by alternately updating the pose parameter (R θ T) at the fixed β and updating the shape parameter β at fixed (R θ T) until the shape residual error converges.
The company updated the recipe of its 25+ year-old Chicken Tender product line by reformulating the breading and spice mixture while updating the shape.
Detective Chief Inspector Jones used his press conference yesterday to update the public on the shape of the investigation.
We also use a merit-function based line search in order to balance between decreasing the cost and keeping the constraints satisfied when updating the channel shape.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com