Sentence examples for set regularization from inspiring English sources

To preserve the regularity of the level set function ϕ, a level set regularization term P = ∫Ω x (|∇ ϕ(x)|−1)/2 dx is introduced, which is necessary for accurate computation and the stable evolution.

R p is the level set regularization term as defined in [8].

The level set function in[25] can be discretized more easily compared to other methods in the literature since it has a level set regularization term.

A level set based optimization algorithm is developed and implemented with several robust and efficient numerical techniques, which include the level set regularization algorithm, gradient projection algorithm, nonlinear velocity mapping algorithm and return mapping algorithm.

Unless otherwise specified, we use the following default parameter values for our method: ∆t = 0.1 (time step), ∆x = ∆y = 1 (space step), ε = 1 for the smooth Dirac function, λ = 0.04 for the level set regularization parameter.

The level set regularization term P penalizes the deviation of the level set function ϕ from a signed distance function to avoid the re-initialization procedure [31].

PIMiM also requires setting regularization and weight parameters and C2.

The model is defined as E = μR + ϑL + αA, where R, L, and A are the level set function regularization term, the zero-level contour regularization term, and the term adjusting the speed of motion to zero-level contour, respectively.

Therefore, the same level set function regularization term of the DRLSE method[25] is used in the proposed method.

We set the regularization parameter in [29] as 1.2/K where K×K is the size of P i.

It should also be noted that the convex optimization with non-convex penalty functions for QSVD is utilized to accurately estimate non-zero singular value, which can be set as regularization item in the matrix low-rank approximation.