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Towards Persistence-Based Reconstruction in Euclidean Spaces
[article]
2007
arXiv
pre-print
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recently, significant improvements were made in higher dimensions, leading to new methods to reconstruct large classes of compact subsets of Euclidean space ^d. However, the complexities of these methods scale up exponentially with d, which makes them impractical in medium or high dimensions, even for handling low-dimensional submanifolds. In this paper, we introduce a novel
arXiv:0712.2638v2
fatcat:m5pblzah4vhz7ngi4tm6dzunuy