Application of the Method to Predict Sewn Shapes Using Polyhedrons to the Shape with a Sewn Outline in a Three-dimensional Form with Constant Angles of Torsion

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  • 多面体を用いた縫合後の立体形状予測法の3次元縫合線が一定の捩れ角をもつ場合への適用
  • タメンタイ オ モチイタ ホウゴウ ゴ ノ リッタイ ケイジョウ ヨソクホウ ノ 3ジゲン ホウゴウセン ガ イッテイ ノ ヨジレ カク オ モツ バアイ エ ノ テキヨウ

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Abstract

<p>The method to predict sewn shapes using polyhedrons was applied to the shape with a sewn outline in a three-dimensional form with constant angles of torsion. This procedure will basically be one of steps for applying the method to the shapes of human bodies and clothing.</p><br><p>First, about all polyhedron models, the limited length of a generating line when a standing angle on a side was equal to that on neighboring sides equals to the longest limited length when a sewn three-dimensional form does not intersect each other. And these lines make the largest pattern.In other words, the limited length of a generating line is a criterion of an area of a pattern that can be formed by sewing.</p><br><p>Next, for a planar sewn outline in a three-dimensional form, there were two standing angles on the first side with the generating lines being the longest. The absolute value of two standing angles was equal to that of the ideal standing angle. The ideal standing angle in this method is the angle corresponding to the angle between a curvature vector and a tangent vector on a point of a three-dimensional curve of a surface in the theory of developable surfaces.</p><br><p>Finally, for a sewn outline in a three-dimensional form with constant angles of torsion, there were also two standing angles on the first side of which the length of generating lines are the longest. And the equations were given for finding the values of the two standing angles.</p><br><p>Further, this method will be applied to the shape with other sewn outlines in three-dimensional forms.</p>

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