The Principle Of The Formation Of Three-dimensional Geometric Fold Effect And Jacquard Design CAD

Pleated fabrics have a long history and their source dates back to ancient Egypt.The form of folds is varied and its unique three-dimensional style is loved by many consumers.The use of folds can enrich the sense of layering and artistic effects of clothing and make clothing more malleable,giving it a unique personality and beauty.At present,although CAD system is available on the market,there are few studies on the CAD system of three-dimensional creased fabrics.This has hindered the development and production of three-dimensional folded fabrics to some extent.This paper analyzes the geometric features of three-dimensional folded fabrics.For any flat-foldable crease pattern,the numbers of valley and mountain folds always differ by two in either direction at every vertex and the reflection matrix of each vertex is multiplied into the identity matrix.For a pattern of 3D vertex folding the multiplication of the rotation matrix of each vertex to the identity matrix is a necessary condition for it to be folded to form a solid angle.By analyzing the forming principle of the three-dimensional pleated fabric,the three-dimensional pleated fabric is divided into three parts an upper convex folding area,a concave folding area and a non-folding area.For the fabric pattern without transverse folding zone,the weft yarn adopts the method of alternate insertion of elastic yarn and non-elastic yarn.In the upper convex folding zone,the elastic weft yarn is located in the inner layer in floating length form and the non-elastic weft yarn is located in the surface layer and interlaced with the warp yarn;In the concave folding zone,the elastic weft yarns are located in the surface layer in floating length form the non-elastic weft yarns are located in the inner layer and interweave with the warp yarns;in the non-folding regions,the elastic weft yarns and the non-elastic weft yarns are interwoven with the warp yarns.For fabric patterns with transverse folds both warp and weft yarns use two types of yarns elastic and non-elastic.In the laterally convex folded area the elastic warp yarns are located in the inner layer of the fabric and do not interweave with the weft yarns appearing to float long;the non-elastic warp yarns are located on the surface of the fabric and interweave with the weft yarns.In the non-transversely convexly folded area,the elastic weft yarns are located in the inner layer of the fabric and do not interweave with the warp yarns and exhibit a long weft-laid length.The non-elastic weft yarns are located on the surface of the fabric and interweave with the warp yarns and the concave folding area is the opposite.In the non-folded area all warp and weft yarns are intertwined.The k-means clustering method in the image segmentation algorithm studied in this paper improves the method of selecting the initial point so that the distance between the k initial cluster centers is as far as possible.The improved clustering algorithm is used to segment the color image and extract the feature color of the image.Then the feature color is applied to the color matching process of the crease fabric pattern.On the basis of the study of the forming principle and image segmentation algorithm of three-dimensional folded fabric,the software of three-dimensional fold fabric auxiliary design was developed using Visual C# language.The software implements functions such as pattern design,tissue filling,image segmentation and color matching.It is easy to operate and can improve the work efficiency of the designer.Finally,several different patterns of pleated fabrics were designed and woven using three-dimensional pleated fabric assisted design software.