โ Scribed by Yin Zhongwei; Li ChunLi
No coin nor oath required. For personal study only.
In the process of part or product design, reverse engineering is an important method for constructing CAD models from a physical part that already exists. In industrial applications, a user may need to reconstruct CAD models for parts where data point capture is incomplete, such as where digitized points are captured from a damaged physical part or from certain geometric features that are difficult for a coordinate measuring machine to characterize. The sets of data points consist of some regions without data. To fill these regions whose boundaries are hole loops with the desired shape, this paper presents two methods: (1) discrete Coons patches and (2) discrete Gaussian curvatures. The first method adapts an existing discrete Coons patches algorithm to fill n-sided discrete points constraints. Based on discrete Gaussian curvatures, the second method adopts an angle deficit algorithm for discrete Gaussian curvatures approximation. For rapid prototyping, an automated STL file generation algorithm is also presented in this paper.
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