The maximum extending coefficients are applied on the opening ends of the tube-like cast.
Extending coefficients are applied on the surface points near the opening end and funnel-shaped opening end are developed i) Centerline is geometrically defined as the shortest path to connect two endpoints of a tube-like cast.
In this project, surface points with distances 3 ~ 5 mm to the clipping plane are applied extending coefficient.
C i is the point nearest the original surface vertex point A i. ( {overset{rightharpoonup }{A^{prime}}}_i ) is the new vertex point stretched from A i. b i is the extending coefficient with respect to points same layer as A i (Fig. 2).
We can extend the coefficients a i j and a j of L outside the support of ζ ν to D × R such that the conditions (21), (22), and | a i j ( x, t ) − a i j ( x , t ν ) | ≤ ϵ (53).
Proof Let us extend the coefficients and delays in system (14) on the interval [ − H, 0 ), where H = max i, j = 1, …, n esssup t ≥ 0 τ i j ( t ) as follows: p i i ( t ) = esssup t ≥ 0 p i i ( t ), p i j ( t ) ≡ 0 for i ≠ j, τ i j ( t ) ≡ 0, q i ( t ) ≡ 0 for i, j = 1, …, n, t ∈ [ − H, 0 ), and consider system (14) on [ − H, ∞ ), calling it the extent system.
In this case, using Remark 2.15, we may extend the coefficient r k by the constant r k (a) for λ ∈ (-∞, a), and by the constant r k (b) for λ ∈ (b, ∞), and similarly the coefficient q k.
The method reduces the magnitude of the high pass coefficients by symmetrically extending the texture whenever the wavelet filter is crossing the boundary.
The result is extended to coefficients with varying sign, under the assumption that the areas where the energies are antiferromagnetic are well-separated.
This measurement is motivated by the assumption that if a coefficient at a certain position differs to a large extend from the coefficients at the same position on the other frames it is most likely corrupted by noise.
