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基于活动标架对 Hilbert 曲线的研究.

Authors :
于延华
刘 玲
杨 云
Source :
Journal of Northeastern University (Natural Science). Jul2019, Vol. 40 Issue 7, p1061-1064. 4p.
Publication Year :
2019

Abstract

Most algorithms for describing three-dimensional Hilbert curves calculate node coordinates from the start point to the end point recursively. Directing at the multiple iterationꎬ a new algorithm was brought forth. By means of constructing moving frameꎬ the invariants under rigid body motion are obtainedꎬ that isꎬ discrete curvature and torsion. Considering moving frameꎬ the nodes are recoded. Establishing a map between the inflection point location number and the discrete curvature and torsion of the inflection pointꎬ based on thatꎬ writing the corresponding algorithm to make it for any number nꎬ the pairs of curvature torsion and the image structure corresponding to the inflection points can be output. Compared to the algorithm Hilbert3 (n)ꎬ the proposed algorithm is not limited to the order of the curve and does not depend on the iteration between the coordinates. Experimental results show that the algorithm is more efficient. [ABSTRACT FROM AUTHOR]

Details

Language :
Chinese
ISSN :
10053026
Volume :
40
Issue :
7
Database :
Academic Search Index
Journal :
Journal of Northeastern University (Natural Science)
Publication Type :
Academic Journal
Accession number :
137577808
Full Text :
https://doi.org/10.12068/j.issn.1005-3026.2019.07.027