Proposer

Method

Cross-section

Central line

Characteristics

Implementing platform

Liao, Adanur

Sweeping the cross-section along the yarn path

Uniform ellipse, circle or race-track

Line segment and arc

Auto-generated 3D yarn, flexible

Unknown

Li

Assembling of circles

Circles of different diameters

Straight line

Straight yarn

MSVB

Lomov

Assembling of solid

circle

Calculated by WisTex

Uniform cylinder, flexible

MSVC

Lin, Long

Assembling of a serials of individual sections

Various cross-sections of quadratic B-spline curve, auto-generated by parameters

Bezier curve, calculate by TexGen

Shape and size of the cross-sections can be changed locally in fabric structure to avoid yarn penetrating

Python

Gong, Azgen

3D scanning of yarn by ESRF

Polynomial curve

Line segment and arc

The cross-sections are separated

MSVC

Zhang

Beizer suface

Beizer curve

Cubic Beizer curve

Uniform cylinder

MSVB,

Jiang, Chen

Spline curve and super ellipse

Uniform Super ellipse

Cubic spline curve, calculate by TexEng

The cross-section of the yarn can be edited,

Borland C,

Lin, Sherburn

B-spline surface

Various cross-sections

Cubic B-Spline curve

Auto-generated 3D yarn including fancy yarn

MSVC

Zheng

B-spline surface or NURBS

Various cross-sections of quadratic B-spline curve, auto-generated by parameters

Cubic shape-preserving B-spline curve

Auto-generated 3D yarn including fancy yarn

MSVC, OpenGL

Zheng, Zhao

Assembling of a serials of individual sections

C-cardinal spline curve, arbitrary shape,

C-cardinal spline curve

Cross-section of the yarn including fancy yarn can be edited manually

MSVC,

OpenGL

Arif Kurbak

Circle and parabolic helix

Circle

Ellipse or parabolic helix in 2 dimensions

Circular cylinder

3DS-MAX