Hybrid dimension garment grading based on nonlinear optimization
Journal of Zhejiang University(Engineering Science)(2008)
摘要
Comparing 3D grading methods with 2D grading methods,a hybrid dimension grading method was presented.The method maps a 2D pattern to be graded onto a 3D body to form a 3D garment patch which deforms with the body mesh.The edge and angle features of the pattern and the patch turn into the grading constraints.After constructing a nonlinear objective function and combining the grading constraints,the grading problem is converted into a nonlinear optimization problem,which requires to solving a nonlinear equation set after mathematic transformation.A polygon has two expressing ways,i.e.orthogonal coordinate and local coordinate frame,accordingly there are two formats of equation set.The first one is convenient to append grading constraints,and the second one has simple format and is well to be solved.The method links these two formats by using the local coordinate frame format to set the start value and the orthogonal coordinate equation format to satisfy all kinds of needs for grading.Some of the edges and angles can be rectified during the iteration process to improve the result.Some given examples show that this algorithm is effective and robust.
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关键词
hybrid dimension garment,optimization
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