Sentence examples for warp function from inspiring English sources

The piecewise affine warp function W ( s ; p ~ ) maps pixels inside the source shape s into the mean shape s0 using the barycentric coordinates of Delaunay triangulation.

The warped coronary angiography image and a test grid deformed using the derived warp function are given in Figures 4(b) and 4(c), respectively.

In this example, a warp function computed based on multilevel B-spline interpolation of a set of random control point pairs is applied to a coronary angiography image).

Click on the object and then click on the Warp tool to warp the object using the pre-set warp functions, such as the "Twirl" or "Pucker".

The function f is called the warping function of the warped product [7].

Lemma 3.1 Let M = N 1 × f N 2 be a warped product manifold with the warping function f.

Hesigawa and Mihai [9] obtained the inequality for squared norm of the second fundamental form in term of the warping function for contact CR-warped product in Sasakian manifolds.

Especially, Chen in [2] obtained the sharp relationship between norm of the squared mean curvature and the warping function f of the warped product (M_{1}times _{f}M_{2}) isometrically immersed in a real space form, i.e., we have the following.

In this paper, we obtain an inequality for the length of the second fundamental form in terms of the warping function for contact CR-warped product submanifolds in a more general setting, i.e., nearly cosymplectic manifold.

Lemma 2.1 Let M = N 1 × f N 2 be a warped product manifold with the warping function f, then (i) ∇ X Y ∈ Γ ( T N 1 ) is the lift of ∇ X Y on N 1,   (ii) ∇ X Z = ∇ Z X = ( X ln f ) Z,   (iii) ∇ Z W = ∇ Z N 2 W − g ( Z, W ) ∇ ln f  .

The functional form of the warping function f depends on the particular interpolation method.