20.500.12556/RUP-7158 Parametric curves with Pythagorean binormals 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. pitagorejski hodograf pitagorejska binormala racionalna krivulja dualne koordinate rotacijsko minimizirajoče ogrodje pitagorejska binormala racionalna krivulja dualne koordinate rotacijsko minimizirajoče ogrodje Pythagorean-hodograph Pythagorean-binormal rational curve dual coordinates rotation-minimizing frame osculating frame true true false Angleški jezik Neznan jezik Delo ni kategorizirano 2015-10-15 05:57:55 2015-10-15 05:57:55 2024-03-01 12:51:31 0000-00-00 00:00:00 2015 0 0 str. 1-20 no. Vol. 2015 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1019-7168 519.65 512095001 10.1007/s10444-014-9387-7 1537835204 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 1 https://repozitorij.upr.si/Dokument.php?lang=slv&id=7158 Inštitut Andrej Marušič 0 0 0