What is it about?
Given an input 3D model, we address the problem of generating a closed, watertight surface triangle mesh that strictly encloses the input. The proposed algorithm is controlled via two user defined parameters: alpha and offset. Alpha controls the size of cavities that cannot be traversed during wrapping while offset controls the distance between the vertices of the output mesh and the input.
Photo by Rudy Dong on Unsplash
Why is it important?
The enclosing property of the output wrap is mandatory for applications related to conservative distance queries, collision avoidance, or motion planning. Compared to other mesh-based approaches, our approach is reliable, simple and resilient to input defects. It performs well in terms of approximation and mesh quality. We demonstrate its industry-grade robustness on large-scale datasets, for a wide range of defects. Our C++ implementation is already matured into a generic component for the open source CGAL project.
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This page is a summary of: Alpha wrapping with an offset, ACM Transactions on Graphics, July 2022, ACM (Association for Computing Machinery),
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