Abstract
In “On the Nonlinear Statistics of Range Image Patches,” H. Adams and G. Carlsson use computational topology to the data set of 5 × 5 and 7 × 7 range image patches and show that some density subsets have the topology of a circle. In this chapter, we study the space of range images locally by expending them to 8 × 8 and 9 × 9 patches and experimentally prove that the subspaces of the space of all high-contrast patches exist in both cases, topologically equivalent to a circle and the Klein bottle, respectively, which have improved Adams and Carlsson’s results.
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Yin, Q. (2015). On Qualitative Analysis of High-Contrast Patches in Range Images. In: Wong, W. (eds) Proceedings of the 4th International Conference on Computer Engineering and Networks. Lecture Notes in Electrical Engineering, vol 355. Springer, Cham. https://doi.org/10.1007/978-3-319-11104-9_67
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DOI: https://doi.org/10.1007/978-3-319-11104-9_67
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11103-2
Online ISBN: 978-3-319-11104-9
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