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Approximate representation of loop section
Sep-01-2021

The actual pile loop is formed by twisting multiple strands of yarn, and its cross-sectional shape is not the same everywhere along the centerline direction. On the whole, the carpet pile loop is a variable cross-section entity [11]. In this paper, in order to improve the calculation efficiency, the pile loop is appropriately simplified as a solid with constant cross-section, and the cross-sectional shape is a circular cross-section. The loop section is considered to be connected by four 90° arcs. Each arc is fitted by 3 control points to complete the quadratic B-spline curve fitting. The entire circular section curve is fitted by 8 control points. According to the same calculation method, import the obtained 8 control point coordinates into Rhino, and draw the loop section by adding the control point curve, as shown in Figure 6.

After completing the fitting of the centerline of the pile loop and the cross-sectional shape, by calling the drawing entity command in Rhino, sweep the cross-section of the pile loop along the center line to obtain the geometric model of the pile loop. Figure 7 shows two different loop heights. Geometric model of the velvet loop.

By analyzing the principle of using B-spline curve to construct a pile loop geometric model, and at the same time, it is researched how to solve the control point value for B-spline curve, and then combined with the Rhino environment to initially establish a single pile loop solid model to simulate the entire carpet Simulate to pave the way.

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