Sentence examples for manifold surface from inspiring English sources

Topologists grouped all of the shapes that could be distorted from one to the other (without being lifted off the manifold surface) into a "homology class" – a kind of generalised shape.

We present an algorithm to mesh point clouds sampled from a closed manifold surface of genus 1.

The reconstructed manifold surface captures the object topology with the built-in combinatorial structure and approximates the object geometry to the first order.

In the first step, triangle mesh structure is reconstructed as a continuous manifold surface by imposing explicit relationship among the discrete data points.

We identify singular folded saddle canards as trajectories on S 0, which pass through the folded singularity, p fs, from the attracting critical manifold surface, S a −, and follow the repelling critical manifold surface, S r −, for a considerable amount of time.

First of all, a in-house developed 2D CFD methodology, based on the integration of the stationary form of the Reynolds equation for the determination of the pressure distribution inside the lateral clearances bounded by the sides of the stator-rotor group and the valve plate, as well as the internal manifold surface, is firstly presented and applied.

However, a large part of the injected spray is deposited on the intake manifold surfaces and forms a layer of liquid film on the valve and port surfaces.

DOI in CV resulted longer than in OV for both fuels because, in CV injection, part of the injected spray is deposited on the intake manifold surfaces, forming a layer of liquid film.

Our system allows the user to manipulate a curve while the underlying non-manifold surface adopts itself to the deformed feature.

This paper presents a parallel approach for mesh surface modeling from multi-material volume data using an extended Ray-rep as an intermediate, where every homogeneous region is enclosed by a set of two-manifold surface meshes on the resultant model.

We present an algorithm that approximates 2-manifold surfaces with Zometool models while preserving their topology.