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0111 · Dec 201619922001200920172026
3 results for Hilbert-curve

Using the moving frame and invariants, any discrete curve in R3\R^3 could be uniquely identified by its centroaffine curvatures and torsions. In this paper, depending on the affine curvatures of the fractal curves, such as Koch curve and Hilbert curve, we can clearly describe their iterative regularities. Interestingly…

2016-12-16abs ↗pdf ↗

A new metric HCP distance for comparing distributions.

problem Comparing high-dimensional probability distributions efficiently.
method Hilbert curve projection to low-dimensional coupling, followed by transport distance calculation.
result HCP distance is a proper metric for probability measures with bounded supports.