Sentence examples for extraordinary points from inspiring English sources

We show that the number of extraordinary points of the domain manifold is bounded by the number of segmented components.

We then develop a collocation procedure which correctly accounts for sharp edges and corners, extraordinary points, and T-junctions.

G1 continuity is attained around extraordinary points by properly capping quartic Bézier patches, where a constrained optimization problem is solved.

The paper develops a family of algorithms that allow trading polynomial degree for smoothness near the extraordinary points where more or fewer than four tensor-product patches meet.

As a result, the resultant T-splines of decomposed components are automatically glued and have high-order continuity everywhere except at the extraordinary points.

Furthermore, we study truncated T-splines and local refinement on the general domain (2-manifold) with extraordinary points in the T-mesh.

As a result, the local subdivision rules near an extraordinary point can be modified such that the resulting Loop subdivision surface exactly interpolates a set of input endpoint interpolating CBSCs meeting at the extraordinary point.

However, here we focus on constructions of a too low degree to be curvature continuous also at the extraordinary point.

This paper presents a new solution for defining a Loop subdivision surface interpolating an arbitrary number of CBSCs meeting at an extraordinary point.

What an extraordinary point - thirty shots, a standing ovation, and Murray wins it after some absolutely incredible Djokovic defence.

A whole church congregation had photos of me saying my vows at the altar but that wasn't the extraordinary point of my wedding day in my eyes.