Bibliography

[Jak05] Jaklič G., "On the dimension of the bivariate spline..." (2005)

ERF

[CH+02] Choi H.I. et al., "Euler-Rodrigues frames on spatial..." (2002)

		[JŽ+08] Jaklič G. et al., "Planar cubic Hermite $G$ " (2008)
		[JŽ+08b] Jaklič G. et al., "Shape preserving interpolation by cubic..." (2008)
		[KK+07] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)

Hamiltonian

[HJP+05] Horvat B. et al., "On the number of Hamiltonian groups" (2005)

Hermite

		[Flo97b] Floater M.S., "An $O(h$ " (1997)
		[Flo97] Floater M.S., "An $O(h$ " (1997)
		[JKK+09] Jaklič G. et al., "An approach to geometric interpolatio..." (2009)
		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)
		[JŽ+08] Jaklič G. et al., "Planar cubic Hermite $G$ " (2008)

[AGJ+07] Arsham H. et al., "Perturbed matrix inversion with..." (2007)

Lagrange

		[JKK+08c] Jaklič G. et al., "On geometric Lagrange interpolation by..." (2008)
		[JKK+08b] Jaklič G. et al., "Geometric Lagrange interpolation by..." (2008)
		[JKK+10] Jaklič G. et al., "Lattices on simplicial partitions" (2010)
		[JKK+09] Jaklič G. et al., "An approach to geometric interpolatio..." (2009)
		[JKK+08] Jaklič G. et al., "Barycentric coordinates for Lagrange..." (2008)

		[Far08b] Farouki R.T., "Pythagorean-hodograph curves: algebra..." (2008)
		[JKK+08b] Jaklič G. et al., "Geometric Lagrange interpolation by..." (2008)
		[JKK+09] Jaklič G. et al., "An approach to geometric interpolatio..." (2009)
		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)

PH curve

		[FHM+04] Farouki R.T. et al., "Characterization and construction of..." (2004)
		[CH+02] Choi H.I. et al., "Euler-Rodrigues frames on spatial..." (2002)
		[WJZ+] Wang W. et al., "Computation of Rotation Minimizing Frame..."
		[Far03] Farouki R.T., "Exact rotation-minimizing frames for..." (2003)
		[Han08] Han C.Y., "Nonexistence of rational..." (2008)
		[FGM+09] Farouki R.T. et al., "Quintic space curves with rational..." (2009)
		[FH+03] Farouki R.T. et al., "Rational approximation schemes for..." (2003)
		[WJ+97] Wang W. et al., "Robust computation of rotational..." (1997)
		[WS+01] Wang G.p. et al., "Shape control of swept surface with..." (2001)

RMF

		[WJZ+] Wang W. et al., "Computation of Rotation Minimizing Frame..."
		[WJ+97] Wang W. et al., "Robust computation of rotational..." (1997)

RRMF

		[Far03] Farouki R.T., "Exact rotation-minimizing frames for..." (2003)
		[Han08] Han C.Y., "Nonexistence of rational..." (2008)
		[FGM+09] Farouki R.T. et al., "Quintic space curves with rational..." (2009)

algebra

[Far08b] Farouki R.T., "Pythagorean-hodograph curves: algebra..." (2008)

algorithm

[OBJ+04] Orbanić A. et al., "Algorithms for drawing polyhedra from..." (2004)

application

[AGJ+07] Arsham H. et al., "Perturbed matrix inversion with..." (2007)

approximation

		[Ahn10] Ahn Y.J., "Quadratic Bézier approximation of..." (2010)
		[Fan99b] Fang L., " $G$ " (1999)
		[Flo95] Floater M., "High-order approximation of conic..." (1995)
		[Flo97b] Floater M.S., "An $O(h$ " (1997)
		[Flo06] Floater M.S., "High order approximation of rational..." (2006)
		[JKK+09b] Jaklič G. et al., "High order parametric polynomial..." (2009)
		[JKK+06] Jaklič G. et al., "Aproksimacija krožnih lokov s..." (2006)
		[JKK+07] Jaklič G. et al., "Approximation of circular arcs by..." (2007)
		[FH+03] Farouki R.T. et al., "Rational approximation schemes for..." (2003)

barycentric

[JKK+08] Jaklič G. et al., "Barycentric coordinates for Lagrange..." (2008)

biology

		[JPR+07] Jaklič G. et al., "On description of biological sequence..." (2007)
		[JPR+06] Jaklič G. et al., "Characterization of complex biological..." (2006)

bivariate

[Jak05] Jaklič G., "On the dimension of the bivariate spline..." (2005)

circle

[JKK+09b] Jaklič G. et al., "High order parametric polynomial..." (2009)

circle-like

[JKK+07c] Jaklič G. et al., "On geometric interpolation of circle-..." (2007)

circular arc

		[JKK+06] Jaklič G. et al., "Aproksimacija krožnih lokov s..." (2006)
		[JKK+07] Jaklič G. et al., "Approximation of circular arcs by..." (2007)

combinatorics

		[FS+09] Flajolet P. et al., "Analytic combinatorics" (2009)
		[Slo08] Sloan N.J.A., "The Online Encyclopedia of Integer..." (2008)

computer graphics

[WJZ+] Wang W. et al., "Computation of Rotation Minimizing Frame..."

conic approximation

[Ahn01] Ahn Y.J., "Conic approximation of planar curves" (2001)

conic section

[JKK+09b] Jaklič G. et al., "High order parametric polynomial..." (2009)

conic sections

		[Ahn10] Ahn Y.J., "Quadratic Bézier approximation of..." (2010)
		[Flo97] Floater M.S., "An $O(h$ " (1997)

conics

		[Fan99b] Fang L., " $G$ " (1999)
		[Fan02] Fang L., "A rational quartic Bézier..." (2002)

cubic

		[Han08] Han C.Y., "Nonexistence of rational..." (2008)
		[JKK+08b] Jaklič G. et al., "Geometric Lagrange interpolation by..." (2008)
		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)
		[JK+05] Jaklič G. et al., "On the dimension of bivariate spline..." (2005)
		[JŽ+08] Jaklič G. et al., "Planar cubic Hermite $G$ " (2008)
		[JŽ+08b] Jaklič G. et al., "Shape preserving interpolation by cubic..." (2008)
		[Jak05] Jaklič G., "On the dimension of the bivariate spline..." (2005)

curve

		[JKK+08b] Jaklič G. et al., "Geometric Lagrange interpolation by..." (2008)
		[JKK+09] Jaklič G. et al., "An approach to geometric interpolatio..." (2009)
		[JKK+09b] Jaklič G. et al., "High order parametric polynomial..." (2009)
		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)
		[JKK+07b] Jaklič G. et al., "On geometric interpolation by planar..." (2007)
		[JKK+07c] Jaklič G. et al., "On geometric interpolation of circle-..." (2007)
		[JKK+06] Jaklič G. et al., "Aproksimacija krožnih lokov s..." (2006)
		[JKK+07] Jaklič G. et al., "Approximation of circular arcs by..." (2007)
		[KK+07b] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KK+07] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[Žag01] Žagar E., "Implicitization and inversion of planar..." (2001)

curves

[Far08b] Farouki R.T., "Pythagorean-hodograph curves: algebra..." (2008)

determinant

[Kra99] Krattenthaler C., "Advanced determinant calculus" (1999)

dimension

		[JK+05] Jaklič G. et al., "On the dimension of bivariate spline..." (2005)
		[Jak05] Jaklič G., "On the dimension of the bivariate spline..." (2005)

drawing

[OBJ+04] Orbanić A. et al., "Algorithms for drawing polyhedra from..." (2004)

ellipse

[JKK+09b] Jaklič G. et al., "High order parametric polynomial..." (2009)

energy

[JŽ+08] Jaklič G. et al., "Planar cubic Hermite $G$ " (2008)

four-point scheme

[HMB+09] Hechler J. et al., " $C$ " (2009)

geometric

		[Ahn01] Ahn Y.J., "Conic approximation of planar curves" (2001)
		[Ahn05] Ahn Y.J., "Helix approximations with conic and..." (2005)
		[Fan99b] Fang L., " $G$ " (1999)
		[Fan98] Fang L., "Circular arc approximation by quintic..." (1998)
		[Flo97b] Floater M.S., "An $O(h$ " (1997)
		[JKK+08c] Jaklič G. et al., "On geometric Lagrange interpolation by..." (2008)
		[JKK+08b] Jaklič G. et al., "Geometric Lagrange interpolation by..." (2008)
		[JKK+09] Jaklič G. et al., "An approach to geometric interpolatio..." (2009)
		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)
		[JKK+07b] Jaklič G. et al., "On geometric interpolation by planar..." (2007)
		[JKK+07c] Jaklič G. et al., "On geometric interpolation of circle-..." (2007)
		[KK+07b] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KK+07] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KŽ+04] Kozak J. et al., "On geometric interpolation by polynomial..." (2004)
		[KŽ+05] Kozak J. et al., "Geometric Interpolation of Data in..." (2005)
		[KŽ+00] Kozak J. et al., "On curve interpolation in $R$ " (2000)
		[Žag02] Žagar E., "On $G$ " (2002)

geometry

[Far08b] Farouki R.T., "Pythagorean-hodograph curves: algebra..." (2008)

graph

[OBJ+04] Orbanić A. et al., "Algorithms for drawing polyhedra from..." (2004)

graphics

[JŽL+03] Jogan M. et al., "Karhunen-Loéve expansion of a set..." (2003)

group

[HJP+05] Horvat B. et al., "On the number of Hamiltonian groups" (2005)

helix

[FHM+04] Farouki R.T. et al., "Characterization and construction of..." (2004)

high order

[JKK+09b] Jaklič G. et al., "High order parametric polynomial..." (2009)

hyperbola

[JKK+09b] Jaklič G. et al., "High order parametric polynomial..." (2009)

image

[JŽL+03] Jogan M. et al., "Karhunen-Loéve expansion of a set..." (2003)

implicitization

[Žag01] Žagar E., "Implicitization and inversion of planar..." (2001)

integration

[KV+09] Kozak J. et al., "Newton-Cotes cubature rules over..." (2009)

interpolation

		[Ahn01] Ahn Y.J., "Conic approximation of planar curves" (2001)
		[Ahn05] Ahn Y.J., "Helix approximations with conic and..." (2005)
		[Fan98] Fang L., "Circular arc approximation by quintic..." (1998)
		[JKK+08c] Jaklič G. et al., "On geometric Lagrange interpolation by..." (2008)
		[JKK+08b] Jaklič G. et al., "Geometric Lagrange interpolation by..." (2008)
		[JKK+10] Jaklič G. et al., "Lattices on simplicial partitions" (2010)
		[JKK+09] Jaklič G. et al., "An approach to geometric interpolatio..." (2009)
		[JKK+08] Jaklič G. et al., "Barycentric coordinates for Lagrange..." (2008)
		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)
		[JKK+07b] Jaklič G. et al., "On geometric interpolation by planar..." (2007)
		[JKK+07c] Jaklič G. et al., "On geometric interpolation of circle-..." (2007)
		[JŽ+08b] Jaklič G. et al., "Shape preserving interpolation by cubic..." (2008)
		[KK+07b] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KK+07] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KV+09] Kozak J. et al., "Newton-Cotes cubature rules over..." (2009)
		[KŽ+04] Kozak J. et al., "On geometric interpolation by polynomial..." (2004)
		[KŽ+05] Kozak J. et al., "Geometric Interpolation of Data in..." (2005)
		[KŽ+00] Kozak J. et al., "On curve interpolation in $R$ " (2000)
		[Vit08] Vitrih V., "Lattices on tetrahedral partitions" (2008)
		[Žag02] Žagar E., "On $G$ " (2002)

invariant

[JPR+06] Jaklič G. et al., "Characterization of complex biological..." (2006)

inversion

		[AGJ+07] Arsham H. et al., "Perturbed matrix inversion with..." (2007)
		[Žag01] Žagar E., "Implicitization and inversion of planar..." (2001)

lattice

		[JKK+07d] Jaklič G. et al., "Three-pencil lattices on triangulations" (2007)
		[JKK+10] Jaklič G. et al., "Lattices on simplicial partitions" (2010)
		[JKK+08] Jaklič G. et al., "Barycentric coordinates for Lagrange..." (2008)
		[KV+09] Kozak J. et al., "Newton-Cotes cubature rules over..." (2009)
		[Vit08] Vitrih V., "Lattices on tetrahedral partitions" (2008)

line distance

[JPR+07] Jaklič G. et al., "On description of biological sequence..." (2007)

matrix

		[AGJ+07] Arsham H. et al., "Perturbed matrix inversion with..." (2007)
		[JPR+07] Jaklič G. et al., "On description of biological sequence..." (2007)
		[JPR+06] Jaklič G. et al., "Characterization of complex biological..." (2006)

multivariate

		[JKK+10] Jaklič G. et al., "Lattices on simplicial partitions" (2010)
		[KV+09] Kozak J. et al., "Newton-Cotes cubature rules over..." (2009)

RMF

[FH+03] Farouki R.T. et al., "Rational approximation schemes for..." (2003)

profiles

[WS+01] Wang G.p. et al., "Shape control of swept surface with..." (2001)

number

[HJP+05] Horvat B. et al., "On the number of Hamiltonian groups" (2005)

partition

[JKK+10] Jaklič G. et al., "Lattices on simplicial partitions" (2010)

partitions

[Vit08] Vitrih V., "Lattices on tetrahedral partitions" (2008)

patch

[JKK+08c] Jaklič G. et al., "On geometric Lagrange interpolation by..." (2008)

planar

		[JKK+08b] Jaklič G. et al., "Geometric Lagrange interpolation by..." (2008)
		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)
		[JKK+07b] Jaklič G. et al., "On geometric interpolation by planar..." (2007)
		[JŽ+08] Jaklič G. et al., "Planar cubic Hermite $G$ " (2008)
		[KK+07b] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KK+07] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)

polyhedra

[OBJ+04] Orbanić A. et al., "Algorithms for drawing polyhedra from..." (2004)

polynomial

		[FHM+04] Farouki R.T. et al., "Characterization and construction of..." (2004)
		[JKK+10] Jaklič G. et al., "Lattices on simplicial partitions" (2010)
		[JKK+07b] Jaklič G. et al., "On geometric interpolation by planar..." (2007)
		[JKK+06] Jaklič G. et al., "Aproksimacija krožnih lokov s..." (2006)
		[JKK+07] Jaklič G. et al., "Approximation of circular arcs by..." (2007)
		[KK+07b] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KK+07] Kozak J. et al., "Geometric interpolation by planar cubic..." (2007)
		[KV+09] Kozak J. et al., "Newton-Cotes cubature rules over..." (2009)

polynomial curves

[Flo06] Floater M.S., "High order approximation of rational..." (2006)

processing

[JŽL+03] Jogan M. et al., "Karhunen-Loéve expansion of a set..." (2003)

quadratic

[JKK+08c] Jaklič G. et al., "On geometric Lagrange interpolation by..." (2008)

quintic

[FGM+09] Farouki R.T. et al., "Quintic space curves with rational..." (2009)

rational

		[FH+03] Farouki R.T. et al., "Rational approximation schemes for..." (2003)
		[Žag01] Žagar E., "Implicitization and inversion of planar..." (2001)

rational curves

		[Fan02] Fang L., "A rational quartic Bézier..." (2002)
		[Flo06] Floater M.S., "High order approximation of rational..." (2006)

sequence

[JPR+07] Jaklič G. et al., "On description of biological sequence..." (2007)

shape preserving

[JŽ+08b] Jaklič G. et al., "Shape preserving interpolation by cubic..." (2008)

simplex

		[AGJ+07] Arsham H. et al., "Perturbed matrix inversion with..." (2007)
		[JKK+10] Jaklič G. et al., "Lattices on simplicial partitions" (2010)
		[JKK+08] Jaklič G. et al., "Barycentric coordinates for Lagrange..." (2008)
		[KV+09] Kozak J. et al., "Newton-Cotes cubature rules over..." (2009)

smoothness

[HMB+09] Hechler J. et al., " $C$ " (2009)

space

[Jak05] Jaklič G., "On the dimension of the bivariate spline..." (2005)

spatial

		[CH+02] Choi H.I. et al., "Euler-Rodrigues frames on spatial..." (2002)
		[Far03] Farouki R.T., "Exact rotation-minimizing frames for..." (2003)
		[JKK+09] Jaklič G. et al., "An approach to geometric interpolatio..." (2009)
		[JŽ+08b] Jaklič G. et al., "Shape preserving interpolation by cubic..." (2008)
		[KŽ+05] Kozak J. et al., "Geometric Interpolation of Data in..." (2005)
		[FGM+09] Farouki R.T. et al., "Quintic space curves with rational..." (2009)

spline

		[JKK+10b] Jaklič G. et al., "On interpolation by planar cubic..." (2010)
		[JK+05] Jaklič G. et al., "On the dimension of bivariate spline..." (2005)
		[JŽ+08] Jaklič G. et al., "Planar cubic Hermite $G$ " (2008)
		[JŽ+08b] Jaklič G. et al., "Shape preserving interpolation by cubic..." (2008)
		[Jak05] Jaklič G., "On the dimension of the bivariate spline..." (2005)

splines

		[Flo95] Floater M., "High-order approximation of conic..." (1995)
		[Žag02] Žagar E., "On $G$ " (2002)

sweep surface

		[WJ+97] Wang W. et al., "Robust computation of rotational..." (1997)
		[WS+01] Wang G.p. et al., "Shape control of swept surface with..." (2001)

tension parameter

[HMB+09] Hechler J. et al., " $C$ " (2009)

tetrahedron

[Vit08] Vitrih V., "Lattices on tetrahedral partitions" (2008)

three-pencil

[JKK+07d] Jaklič G. et al., "Three-pencil lattices on triangulations" (2007)

triangulation

		[JKK+07d] Jaklič G. et al., "Three-pencil lattices on triangulations" (2007)
		[JK+05] Jaklič G. et al., "On the dimension of bivariate spline..." (2005)
		[Jak05] Jaklič G., "On the dimension of the bivariate spline..." (2005)

Domain Tree