arXiv:0903.1817cs.CG
Reconstructing Curves from Points and Tangents
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Abstract
Reconstructing a finite set of curves from an unordered set of sample points is a well studied topic. There has been less effort that considers how much better the reconstruction can be if tangential information is given as well. We show that if curves are separated from each other by a distance D, then the sampling rate need only be O(sqrt(D)) for error-free reconstruction. For the case of point data alone, O(D) sampling is required.
Numba is great for numerical expressions, but I'd be surprised if it works for trickier bits. For example, consider the problem here: http://arxiv.org/abs/0903.1817 Ultimately I needed to run a math formula on some surfels and connect an edge in a graph if the formula came out…
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