Your English writing platform
Discover LudwigSuggestions(1)
Exact(16)
The effect is not a simple projection onto a square screen, a device seen often in the theater today.
We apply a simple projection plane technique.
This demonstrates that a simple projection provides 3D information about the bone structure.
Then, the interference is eliminated by a simple projection on the interference null space.
We also describe a simple projection scheme which allows us to suppress parasitic currents in front-tracking models.
Then, | w → | = 1 can be guaranteed via a simple projection technique as the following: w → k + 1 = w ˜ → k + 1 w ˜ → k + 1. (27).
Similar(44)
(3): The final Euler-equations of proposed fast projection algorithms only include a simple Euler-Lagrange equation (24, 29, 35, 40) that can be solved via fast Gauss-Seidel iteration, a generalized soft thresholding formula in analytical form (26, 32), a fast iterative formula for dual variable (37), and a very simple projection formula (27).
Technically, the resulting equations in the proposed four algorithms include four components: (1): a simple Euler-Lagrange equation for LSF and this Euler-Lagrange equation can be solved via fast Gauss-Seidel iteration, (2): a generalized soft thresholding formula in analytical form, (3): a fast iterative formula for dual variable, and (4): a very simple projection formula.
Through introducing two or three auxiliary variables, the constraint is transformed into a very simple projection formula so that our proposed fast methods are able to avoid both expensive re-initialization process and complex curvature appearance in the evolution equations.
(1): By introducing fewer auxiliary variables (i.e., two for SBPM, ALPM and three for DSBPM, DALPM) and considering the relationship between TV regularization term ∫ Ω |∇H ϵ |dx or its equivalent form ∫ Ω |∇ϕ|δ ϵ dx in Equation 22a and constraint term |∇ϕ| = 1 in Equation 22b, we developed a very simple projection formula (27) in order to skillfully avoid expensive re-initialization process.
PhoThe classicy of onformative.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com