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@ARTICLE{,
            author = {Bastl, Bohum{\'{\i}}r and Bizzarri, Michal and Kova{\v c}, Bo{\v s}tjan and Krajnc, Marjeta and L{\'{a}}vi{\v c}ka, Miroslav and Mich{\'{a}}lkov{\'{a}}, Krist{\'{y}}na and Po{\v c}kaj, Karla and {\v S}{\'{\i}}r, Zbyněk and Žagar, Emil},
          keywords = {Hermite interpolation, PH quintic, Pythagorean-hodograph curves, triarc},
             title = {C 2 Hermite interpolation by Pythagorean-hodograph quintic triarcs},
           journal = {Computer Aided Geometric Design},
              year = {2014},
          abstract = {Abstract
In this paper, the problem of
C
2
Hermite interpolation by triarcs composed of Pythagorean-
hodograph (PH) quintics
is considered. The main idea is to join three arcs of PH quinti
cs at two unknown points – the first curve interpolates
given
C
2
Hermite data at one side, the third one interpolates the same
type of given data at the other side and the
middle arc is joined together with
C
2
continuity to the first and the third arc. For any set of
C
2
planar boundary data
(two points with associated first and second derivatives) we
construct four possible interpolants. The best possible
approximation order is 4. Analogously, for a set of
C
2
spatial boundary data we find a six-dimensional family of
interpolating quintic PH triarcs. The results are confirmed
by several examples},
  Preprint project = {NCMM},
     Preprint year = {2014},
   Preprint number = {09},
       Preprint ID = {NCMM/2014/09}
}