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Novel re-parameterization for shape optimization and comparison with knot-based gradient fitting method

机译:用于形状优化的新型重新参数化以及与基于结的梯度拟合方法进行比较

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摘要

Large point clouds and surface meshes generated by 3D scanning of existing objects can be converted into parametric models and used as initial solutions for shape optimization based on given excellence criteria and constraints. In many applications, multipatch NURBS (Non-uniform rational B-splines) parameterizations of 3D shape models are constrained to a small number of shape partitions which do not contain the dominant geometric features. In many cases, the geometry of an object does not include clearly defined natural borders to be used towards subdividing the model into such partitions.
机译:通过对现有对象进行3D扫描生成的大点云和曲面网格可以转换为参数模型,并可以根据给定的卓越标准和约束条件用作形状优化的初始解决方案。在许多应用中,将3D形状模型的多面片NURBS(非均匀有理B样条曲线)参数化限制为少量的形状分区,这些分区不包含主要的几何特征。在许多情况下,对象的几何形状不包含明确定义的自然边界,该自然边界可用于将模型细分为此类分区。

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