Parametric curves with Pythagorean binormals

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Parametric curves with Pythagorean binormals

Kozak, Jernej ; Krajnc, Marjetka, 1978- ; Vitrih, Vito, 1981-

In this paper, a class of rational spatial curves that have a rational binormal is introduced . Such curves (called PB curves) play an important role in the derivation of rational rotation-minimizing ... osculating frames. The PB curve construction proposed is based upon the dual curve representation and the Euler-Rodrigues frame obtained from quaternion polynomials. The construction significantly simplifies if the curve is a polynomial one. Further, polynomial PB curves of the degree % 7 and rational PB curves of the degree % 6 that possess rational rotation-minimizing osculating frames are derived, and it is shown that no lower degree curves, constructed from quadratic quaternion polynomials, with such a property exist.

Source: Advances in computational mathematics. - ISSN 1019-7168 (Vol. 41, iss. 4, 2015, str. 813-832)

Type of material - article, component part

Publish date - 2015

Language - english

COBISS.SI-ID - 1537835204

Link(s):
http://download.springer.com/static/pdf/237/art%253A10.1007%252Fs10444-014-9387-7.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs10444-014-9387-7&token2=exp=1443686327~acl=%2Fstatic%2Fpdf%2F237%2Fart%25253A10.1007%25252Fs10444-014-9387-7.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs10444-014-9387-7*~hmac=be8b3293d4d0115e847f9d5731a8f88c9cefeed18ace668ef1899ffa70905302
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Kozak, Jernej | Krajnc, Marjetka, 1978- | Vitrih, Vito, 1981-

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source: Advances in computational mathematics. - ISSN 1019-7168 (Vol. 41, iss. 4, 2015, str. 813-832)

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Kozak, Jernej	03425
Krajnc, Marjetka, 1978-	23467
Vitrih, Vito, 1981-	27559

Source: Personal bibliographies and: SICRIS

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