Articles with "spherical curves" as a keyword



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Gauss Map Based Curved Origami Discretization

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Published in 2018 at "Journal of Mechanisms and Robotics"

DOI: 10.1115/1.4041631

Abstract: This paper addresses the problem of discretizing the curved developable surfaces that are satisfying the equivalent surface curvature change discretizations. Solving basic folding units occurs in such tasks as simulating the behavior of Gauss mapping.… read more here.

Keywords: discretization; gauss; curved surface; developable surfaces ... See more keywords
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A distance on the equivalence classes of spherical curves generated by deformations of type RI

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Published in 2018 at "Journal of Knot Theory and Its Ramifications"

DOI: 10.1142/s0218216518500669

Abstract: In this paper, we introduce a distance dw3 on the equivalence classes of spherical curves under deformations of type RI and ambient isotopies. We obtain an inequality that estimate its lower bound... read more here.

Keywords: equivalence classes; classes spherical; distance; spherical curves ... See more keywords