A new proximity definition for 2-D and 3-D curves

Dimitris Karayannakis, Andreas Stamoulias

Abstract


Let C1 and C2 be two continuous (coplanar or not) Jordan curves defined over a closed (finite) interval. We introduce a new approach concerning the distance between C1 and C2 and we examine some ramifications of this definition in the frame of metric spaces.

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Published: 2015-04-18

How to Cite this Article:

Dimitris Karayannakis, Andreas Stamoulias, A new proximity definition for 2-D and 3-D curves, Eng. Math. Lett., 2015 (2015), Article ID 7

Copyright © 2015 Dimitris Karayannakis, Andreas Stamoulias. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Engineering Mathematics Letters

ISSN 2049-9337

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