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Farouki, Rida T.

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Author ID: farouki.rida-t Recent zbMATH articles by "Farouki, Rida T."
Published as: Farouki, R. T.; Farouki, Rida; Farouki, Rida T.
Documents Indexed: 144 Publications since 1985, including 2 Books

Publications by Year

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130 Publications have been cited 2,055 times in 726 Documents Cited by Year
Pythagorean-hodograph curves. Algebra and geometry inseparable. Zbl 1144.51004
Farouki, Rida T.
122
2008
Algorithms for polynomials in Bernstein form. Zbl 0648.65007
Farouki, R. T.; Rajan, V. T.
92
1988
On the numerical condition of polynomials in Bernstein form. Zbl 0636.65012
Farouki, R. T.; Rajan, V. T.
92
1987
Hermite interpolation by Pythagorean hodograph quintics. Zbl 0847.68125
Farouki, R. T.; Neff, C. A.
79
1995
The conformal map \(z\to z^ 2\) of the hodograph plane. Zbl 0806.65005
Farouki, Rida T.
75
1994
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
71
2012
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003
Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis
56
2002
On the optimal stability of the Bernstein basis. Zbl 0853.65051
Farouki, R. T.; Goodman, T. N. T.
54
1996
Pythagorean-hodograph space curves. Zbl 0829.65011
Farouki, Rida T.; Sakkalis, Takis
54
1994
Analytic properties of plane offset curves. Zbl 0718.53003
Farouki, R. T.; Neff, C. A.
52
1990
Pythagorean-hodograph curves in practical use. Zbl 0770.41017
Farouki, Rida T.
42
1992
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
38
1996
Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. Zbl 1172.65307
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
37
2008
Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
37
1996
Algebraic properties of plane offset curves. Zbl 0724.65008
Farouki, R. T.; Neff, C. A.
37
1990
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
36
2001
Legendre-Bernstein basis transformations. Zbl 0962.65042
Farouki, Rida T.
33
2000
Characterization and construction of helical polynomial space curves. Zbl 1059.65016
Farouki, Rida T.; Han, Chang Yong; Manni, Carla; Sestini, Alessandra
31
2004
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. Zbl 1069.65551
Farouki, Rida T.; Han, Chang Yong
31
2003
Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves. Zbl 1049.68723
Farouki, Rida T.; Manjunathaiah, Jairam; Nicholas, David; Yuan, Guo-Feng; Jee, Sungchul
31
1998
On the stability of transformations between power and Bernstein polynomial forms. Zbl 0725.65018
Farouki, R. T.
30
1991
The approximation of non-degenerate offset surfaces. Zbl 0621.65003
Farouki, R. T.
29
1986
Real-time CNC interpolators for Pythagorean-hodograph curves. Zbl 0875.68875
Farouki, Rida T.; Shah, Sagar
28
1996
Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves. Zbl 1055.68124
Farouki, Rida T.
27
2002
Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves. Zbl 1202.53004
Farouki, Rida T.
26
2010
Real rational curves are not ‘unit speed’. Zbl 0746.41019
Farouki, Rida T.; Sakkalis, Takis
26
1991
Design of rational rotation-minimizing rigid body motions by Hermite interpolation. Zbl 1241.65026
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
25
2012
Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics. Zbl 1065.68103
Pelosi, Francesca; Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
23
2005
Singular points of algebraic curves. Zbl 0699.14035
Sakkalis, Takis; Farouki, Rida
23
1990
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Zbl 1069.65517
Farouki, Rida T.; Goodman, T. N. T.; Sauer, Thomas
22
2003
Rational rotation-minimizing frames on polynomial space curves of arbitrary degree. Zbl 1204.53009
Farouki, Rida T.; Sakkalis, Takis
21
2010
Quintic space curves with rational rotation-minimizing frames. Zbl 1205.65079
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
21
2009
Topological criterion for selection of quintic pythagorean-hodograph Hermite interpolants. Zbl 1172.65322
Choi, Hyeong In; Farouki, Rida T.; Kwon, Song-Hwa; Moon, Hwan Pyo
20
2008
Efficient solution of the complex quadratic tridiagonal system for \(C^2\) PH quintic splines. Zbl 0987.65016
Farouki, Rida T.; Kuspa, Bethany K.; Manni, Carla; Sestini, Alessandra
19
2001
Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations. Zbl 1187.53005
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
18
2009
A complete classification of quintic space curves with rational rotation-minimizing frames. Zbl 1232.53004
Farouki, Rida T.; Sakkalis, Takis
16
2012
A control polygon scheme for design of planar \(C^2\) PH quintic spline curves. Zbl 1171.65347
Pelosi, Francesca; Sampoli, Maria Lucia; Farouki, Rida T.; Manni, Carla
16
2007
On the numerical condition of algebraic curves and surfaces. I: Implicit equations. Zbl 0709.65011
Farouki, R. T.; Rajan, V. T.
16
1988
Spatial \(C^2\) PH quintic splines. Zbl 1044.65010
Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
15
2003
Minkowski geometric algebra of complex sets. Zbl 0987.51012
Farouki, Rida T.; Pyo Moon, Hwan; Ravani, Bahram
15
2001
The bisector of a point and a plane parametric curve. Zbl 0796.65013
Farouki, Rida T.; Johnstone, John K.
15
1994
Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths. Zbl 1418.65021
Farouki, Rida T.
14
2016
Shape-preserving interpolation by \(G^1\) and \(G^2\) PH quintic splines. Zbl 1022.65008
Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
14
2003
Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants. Zbl 1286.65021
Farouki, Rida T.; Han, Chang Yong; Dospra, Petroula; Sakkalis, Takis
13
2013
Rational Pythagorean-hodograph space curves. Zbl 1210.65037
Farouki, Rida T.; Šír, Zbyněk
13
2011
Performance analysis of CNC interpolators for time-dependent feedrates along PH curves. Zbl 0971.68172
Tsai, Y.-F.; Farouki, R. T.; Feldman, B.
13
2001
Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. I: Theoretical foundations. Zbl 0939.65018
Ramamurthy, Rajesh; Farouki, Rida T.
13
1999
Optimal parameterizations. Zbl 0906.68156
Farouki, Rida T.
13
1997
The characterization of parametric surface sections. Zbl 0631.65012
Farouki, R. T.
13
1986
Existence conditions for coons patches interpolating geodesic boundary curves. Zbl 1205.65078
Farouki, R. T.; Szafran, N.; Biard, L.
12
2009
Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves. Zbl 1168.53001
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
12
2009
On the numerical condition of Bernstein-Bézier subdivision processes. Zbl 0749.65008
Farouki, R. T.; Neff, C. A.
12
1990
Exact Minkowski products of \(N\) complex disks. Zbl 1028.65048
Farouki, Rida T.; Pottmann, Helmut
11
2002
Specified-precision computation of curve/curve bisectors. Zbl 1026.65010
Farouki, Rida T.; Ramamurthy, Rajesh
11
1998
Design of rational cam profiles with Pythagorean-hodograph curves. Zbl 1049.70536
Farouki, R. T.; Manjunathaiah, J.; Jee, S.
11
1998
Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in Bernstein form. Zbl 1070.65515
Tsai, Yi-Feng; Farouki, Rida T.
10
2001
Computation of optimal composite re-parameterizations. Zbl 0984.68161
Costantini, Paolo; Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
10
2001
Algorithms for Minkowski products and implicitly-defined complex sets. Zbl 0948.65016
Farouki, Rida T.; Moon, Hwan Pyo; Ravani, Bahram
10
2000
Automatic parsing of degenerate quadric-surface intersections. Zbl 0746.68093
Farouki, R. T.; Neff, C. A.; O’Connor, M. A.
10
1989
Identification and “reverse engineering” of Pythagorean-hodograph curves. Zbl 1375.65022
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
9
2015
Rational space curves are not “unit speed”. Zbl 1171.65331
Farouki, Rida T.; Sakkalis, Takis
9
2007
Linear perturbation methods for topologically consistent representations of free-form surface intersections. Zbl 1069.65567
Song, Xiaowen; Sederberg, Thomas W.; Zheng, Jianmin; Farouki, Rida T.; Hass, Joel
9
2004
Convergent inversion approximations for polynomials in Bernstein form. Zbl 0939.68126
Farouki, R. T.
9
1999
Computing Minkowski sums of plane curves. Zbl 0854.68102
Kaul, Anil; Farouki, Rida T.
9
1995
Exact offset procedures for simple solids. Zbl 0583.65095
Farouki, R. T.
9
1985
Polynomial and rational Pythagorean-hodograph curves reconciled. Zbl 0878.68120
Farouki, Rida T.; Pottmann, Helmut
8
1996
Rational rotation-minimizing frames – recent advances and open problems. Zbl 1410.53001
Farouki, Rida T.
7
2016
Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves. Zbl 1312.65013
Farouki, Rida T.; Manni, Carla; Sampoli, Maria Lucia; Sestini, Alessandra
7
2015
Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3. Zbl 1244.14023
Sakkalis, Takis; Farouki, Rida T.
7
2012
Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. II: Detailed algorithm description. Zbl 0962.65017
Ramamurthy, Rajesh; Farouki, Rida T.
7
1999
Computing point/curve and curve/curve bisectors. Zbl 0813.65021
Farouki, R. T.; Johnstone, J. K.
7
1994
Graphical methods for surface differential geometry. Zbl 0667.65008
Farouki, R. T.
7
1987
Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form. Zbl 1334.65034
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
6
2016
Contour machining of free-form surfaces with real-time PH curve CNC interpolators. Zbl 0908.68175
Farouki, Rida T.; Tsai, Yi-Feng; Yuan, Guo-Feng
6
1999
Least-squares tool path approximation with Pythagorean-hodograph curves for high-speed CNC machining. Zbl 0959.65027
Farouki, R. T.; Saitou, K.; Tsai, Y.-F.
6
1998
Smooth curve design with double-Tschirnhausen cubics. Zbl 0855.65005
Farouki, Rida T.; Peters, Jörg
6
1996
Computing with barycentric polynomials. Zbl 0746.65011
Farouki, Rida T.
6
1991
New developments in theory, algorithms, and applications for Pythagorean-hodograph curves. Zbl 07150019
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
5
2019
Rotation-minimizing osculating frames. Zbl 1284.65031
Farouki, Rida T.; Giannelli, Carlotta; Sampoli, Maria Lucia; Sestini, Alessandra
5
2014
Construction of rational surface patches bounded by lines of curvature. Zbl 1210.65034
Biard, Luc; Farouki, Rida T.; Szafran, Nicolas
5
2010
Construction and smoothing of triangular Coons patches with geodesic boundary curves. Zbl 1209.65021
Farouki, R. T.; Szafran, N.; Biard, L.
5
2010
Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems. Zbl 1192.65018
Farouki, Rida T.; Han, Chang Yong
5
2007
A geometric product formulation for spatial pythagorean hodograph curves with applications to Hermite interpolation. Zbl 1171.65348
Perwass, Christian B. U.; Farouki, Rida T.; Noakes, Lyle
5
2007
Evaluating the boundary and covering degree of planar Minkowski sums and other geometrical convolutions. Zbl 1140.65020
Farouki, Rida T.; Hass, Joel
5
2007
Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme. Zbl 1118.65011
Hass, Joel; Farouki, Rida T.; Han, Chang Yong; Song, Xiaowen; Sederberg, Thomas W.
5
2007
Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries. Zbl 0905.68149
Farouki, Rida T.; Ramamurthy, Rajesh
5
1998
Cycles upon cycles: An anecdotal history of higher curves in science and engineering. Zbl 0904.65017
Farouki, Rida T.; Rampersad, Joanne
5
1998
Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths. Zbl 1432.65024
Farouki, Rida T.
4
2019
Rational frames of minimal twist along space curves under specified boundary conditions. Zbl 1419.14046
Farouki, Rida T.; Moon, Hwan Pyo
4
2018
A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames. Zbl 1390.53005
Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina
4
2017
Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves. Zbl 1284.65062
Farouki, Rida T.; Dospra, Petroula; Sakkalis, Takis
4
2013
Optimal tool orientation control for 5-axis CNC milling with ball-end cutters. Zbl 1261.65018
Farouki, Rida T.; Li, Shiqiao
4
2013
Design of \(C ^{2}\) spatial Pythagorean-hodograph quintic spline curves by control polygons. Zbl 1354.65029
Farouki, Rida T.; Manni, Carla; Pelosi, Francesca; Sampoli, Maria Lucia
4
2012
Geometric design using space curves with rational rotation-minimizing frames. Zbl 1274.65037
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
4
2010
Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\). Zbl 1166.53002
Sakkalis, Takis; Farouki, Rida T.; Vaserstein, Leonid
4
2009
Minkowski geometric algebra and the stability of characteristic polynomials. Zbl 1175.93182
Farouki, Rida T.; Moon, Hwan Pyo
4
2003
Bipolar and multipolar coordinates. Zbl 0967.65026
Farouki, Rida T.; Moon, Hwan Pyo
4
2000
Conic approximation of conic offsets. Zbl 0872.68183
Farouki, Rida T.
4
1997
Algebraically rectifiable parametric curves. Zbl 0808.65010
Sakkalis, Takis; Farouki, Rida T.
4
1993
Tensor-product surface patches with Pythagorean-hodograph isoparametric curves. Zbl 1433.65021
Farouki, Rida T.; Pelosi, Francesca; Sampoli, Maria Lucia; Sestini, Alessandra
3
2016
Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves. Zbl 07241427
Farouki, Rida T.; Pelosi, Francesca; Sampoli, Maria Lucia
1
2021
Construction of periodic adapted orthonormal frames on closed space curves. Zbl 1453.65036
Farouki, Rida T.; Kim, Soo Hyun; Moon, Hwan Pyo
2
2020
New developments in theory, algorithms, and applications for Pythagorean-hodograph curves. Zbl 07150019
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
5
2019
Existence of Pythagorean-hodograph quintic interpolants to spatial \(G^1\) Hermite data with prescribed arc lengths. Zbl 1432.65024
Farouki, Rida T.
4
2019
Rational frames of minimal twist along space curves under specified boundary conditions. Zbl 1419.14046
Farouki, Rida T.; Moon, Hwan Pyo
4
2018
A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames. Zbl 1390.53005
Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina
4
2017
Construction of \(G^1\) planar Hermite interpolants with prescribed arc lengths. Zbl 1418.65021
Farouki, Rida T.
14
2016
Rational rotation-minimizing frames – recent advances and open problems. Zbl 1410.53001
Farouki, Rida T.
7
2016
Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form. Zbl 1334.65034
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
6
2016
Tensor-product surface patches with Pythagorean-hodograph isoparametric curves. Zbl 1433.65021
Farouki, Rida T.; Pelosi, Francesca; Sampoli, Maria Lucia; Sestini, Alessandra
3
2016
Solution of a quadratic quaternion equation with mixed coefficients. Zbl 1329.15039
Farouki, Rida T.; Gentili, Graziano; Giannelli, Carlotta; Sestini, Alessandra; Stoppato, Caterina
2
2016
Geometry of the ringed surfaces in \(\mathbb{R}^4\) that generate spatial Pythagorean hodographs. Zbl 1326.53013
Farouki, Rida T.; Gutierrez, Robert
1
2016
Identification and “reverse engineering” of Pythagorean-hodograph curves. Zbl 1375.65022
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
9
2015
Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves. Zbl 1312.65013
Farouki, Rida T.; Manni, Carla; Sampoli, Maria Lucia; Sestini, Alessandra
7
2015
Algorithm 952: PHquintic: a library of basic functions for the construction and analysis of planar quintic Pythagorean-hodograph curves. Zbl 1347.65045
Dong, Bohan; Farouki, Rida T.
3
2015
Arc lengths of rational Pythagorean-hodograph curves. Zbl 1375.65021
Farouki, Rida T.
1
2015
Rational swept surface constructions based on differential and integral sweep curve properties. Zbl 1375.65023
Farouki, Rida T.; Nittler, Kevin M.
1
2015
Rotation-minimizing osculating frames. Zbl 1284.65031
Farouki, Rida T.; Giannelli, Carlotta; Sampoli, Maria Lucia; Sestini, Alessandra
5
2014
Construction of \(G^2\) rounded corners with Pythagorean-hodograph curves. Zbl 1293.65027
Farouki, Rida T.
3
2014
Inverse kinematics for optimal tool orientation control in 5-axis CNC machining. Zbl 1302.65048
Farouki, Rida T.; Han, Chang Yong; Li, Shiqiao
2
2014
Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants. Zbl 1286.65021
Farouki, Rida T.; Han, Chang Yong; Dospra, Petroula; Sakkalis, Takis
13
2013
Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves. Zbl 1284.65062
Farouki, Rida T.; Dospra, Petroula; Sakkalis, Takis
4
2013
Optimal tool orientation control for 5-axis CNC milling with ball-end cutters. Zbl 1261.65018
Farouki, Rida T.; Li, Shiqiao
4
2013
Corrigendum to “Rational rotation-minimizing frames on polynomial space curves of arbitrary degree”. Zbl 1283.53010
Farouki, Rida T.; Sakkalis, Takis
2
2013
An interpolation scheme for designing rational rotation-minimizing camera motions. Zbl 1315.65011
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
2
2013
The Bernstein polynomial basis: a centennial retrospective. Zbl 1252.65039
Farouki, Rida T.
71
2012
Design of rational rotation-minimizing rigid body motions by Hermite interpolation. Zbl 1241.65026
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
25
2012
A complete classification of quintic space curves with rational rotation-minimizing frames. Zbl 1232.53004
Farouki, Rida T.; Sakkalis, Takis
16
2012
Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3. Zbl 1244.14023
Sakkalis, Takis; Farouki, Rida T.
7
2012
Design of \(C ^{2}\) spatial Pythagorean-hodograph quintic spline curves by control polygons. Zbl 1354.65029
Farouki, Rida T.; Manni, Carla; Pelosi, Francesca; Sampoli, Maria Lucia
4
2012
Rational Pythagorean-hodograph space curves. Zbl 1210.65037
Farouki, Rida T.; Šír, Zbyněk
13
2011
Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves. Zbl 1252.65040
Farouki, Rida T.; Sakkalis, Takis
3
2011
Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves. Zbl 1202.53004
Farouki, Rida T.
26
2010
Rational rotation-minimizing frames on polynomial space curves of arbitrary degree. Zbl 1204.53009
Farouki, Rida T.; Sakkalis, Takis
21
2010
Construction of rational surface patches bounded by lines of curvature. Zbl 1210.65034
Biard, Luc; Farouki, Rida T.; Szafran, Nicolas
5
2010
Construction and smoothing of triangular Coons patches with geodesic boundary curves. Zbl 1209.65021
Farouki, R. T.; Szafran, N.; Biard, L.
5
2010
Geometric design using space curves with rational rotation-minimizing frames. Zbl 1274.65037
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
4
2010
Quintic space curves with rational rotation-minimizing frames. Zbl 1205.65079
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
21
2009
Helical polynomial curves and double Pythagorean hodographs. I: Quaternion and Hopf map representations. Zbl 1187.53005
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
18
2009
Existence conditions for coons patches interpolating geodesic boundary curves. Zbl 1205.65078
Farouki, R. T.; Szafran, N.; Biard, L.
12
2009
Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves. Zbl 1168.53001
Farouki, Rida T.; Giannelli, Carlotta; Sestini, Alessandra
12
2009
Non-existence of rational arc length parameterizations for curves in \(\mathbb R^n\). Zbl 1166.53002
Sakkalis, Takis; Farouki, Rida T.; Vaserstein, Leonid
4
2009
Pythagorean-hodograph curves. Algebra and geometry inseparable. Zbl 1144.51004
Farouki, Rida T.
122
2008
Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. Zbl 1172.65307
Farouki, Rida T.; Giannelli, Carlotta; Manni, Carla; Sestini, Alessandra
37
2008
Topological criterion for selection of quintic pythagorean-hodograph Hermite interpolants. Zbl 1172.65322
Choi, Hyeong In; Farouki, Rida T.; Kwon, Song-Hwa; Moon, Hwan Pyo
20
2008
Preface: Pythagorean-hodograph curves and related topics. Zbl 1172.65300
Farouki, Rida T. (ed.); Jüttler, Bert (ed.); Manni, Carla (ed.)
2
2008
Computing the Minkowski value of the exponential function over a complex disk. Zbl 1166.65323
Choi, Hyeong In; Farouki, Rida T.; Han, Chang Yong; Moon, Hwan Pyo
2
2008
A control polygon scheme for design of planar \(C^2\) PH quintic spline curves. Zbl 1171.65347
Pelosi, Francesca; Sampoli, Maria Lucia; Farouki, Rida T.; Manni, Carla
16
2007
Rational space curves are not “unit speed”. Zbl 1171.65331
Farouki, Rida T.; Sakkalis, Takis
9
2007
Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems. Zbl 1192.65018
Farouki, Rida T.; Han, Chang Yong
5
2007
A geometric product formulation for spatial pythagorean hodograph curves with applications to Hermite interpolation. Zbl 1171.65348
Perwass, Christian B. U.; Farouki, Rida T.; Noakes, Lyle
5
2007
Evaluating the boundary and covering degree of planar Minkowski sums and other geometrical convolutions. Zbl 1140.65020
Farouki, Rida T.; Hass, Joel
5
2007
Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme. Zbl 1118.65011
Hass, Joel; Farouki, Rida T.; Han, Chang Yong; Song, Xiaowen; Sederberg, Thomas W.
5
2007
Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics. Zbl 1065.68103
Pelosi, Francesca; Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
23
2005
Solution of elementary equations in the Minkowski geometric algebra of complex sets. Zbl 1065.51002
Farouki, Rida T.; Han, Chang Yong
3
2005
Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves. Zbl 1087.65011
Farouki, Rida T.; Han, Chang Yong; Hass, Joel
2
2005
Smoothing of time-optimal feedrates for Cartesian CNC machines. Zbl 1141.68626
Boyadjieff, Casey L.; Farouki, Rida T.; Timar, Sebastian D.
1
2005
Characterization and construction of helical polynomial space curves. Zbl 1059.65016
Farouki, Rida T.; Han, Chang Yong; Manni, Carla; Sestini, Alessandra
31
2004
Linear perturbation methods for topologically consistent representations of free-form surface intersections. Zbl 1069.65567
Song, Xiaowen; Sederberg, Thomas W.; Zheng, Jianmin; Farouki, Rida T.; Hass, Joel
9
2004
Topologically consistent trimmed surface approximations based on triangular patches. Zbl 1069.65552
Farouki, Rida T.; Han, Chang Yong; Hass, Joel; Sederberg, Thomas W.
3
2004
Computation of Minkowski values of polynomials over complex sets. Zbl 1073.12006
Farouki, Rida T.; Han, Chang Yong
3
2004
Robust plotting of generalized lemniscates. Zbl 1059.65020
Farouki, Rida T.; Han, Chang Yong
1
2004
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. Zbl 1069.65551
Farouki, Rida T.; Han, Chang Yong
31
2003
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Zbl 1069.65517
Farouki, Rida T.; Goodman, T. N. T.; Sauer, Thomas
22
2003
Spatial \(C^2\) PH quintic splines. Zbl 1044.65010
Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
15
2003
Shape-preserving interpolation by \(G^1\) and \(G^2\) PH quintic splines. Zbl 1022.65008
Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
14
2003
Minkowski geometric algebra and the stability of characteristic polynomials. Zbl 1175.93182
Farouki, Rida T.; Moon, Hwan Pyo
4
2003
Minkowski combinations of complex sets: Geometry, algorithms, and applications. Zbl 1047.65029
Farouki, Rida T.
2
2003
Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves. Zbl 1001.41003
Farouki, Rida T.; al-Kandari, Mohammad; Sakkalis, Takis
56
2002
Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves. Zbl 1055.68124
Farouki, Rida T.
27
2002
Exact Minkowski products of \(N\) complex disks. Zbl 1028.65048
Farouki, Rida T.; Pottmann, Helmut
11
2002
Special issue: Advances in geometrical algorithms and representations. Zbl 0989.00012
Farouki, Rida T. (ed.)
1
2002
Optimal slicing of free-form surfaces. Zbl 0984.68169
Smith, Tait S.; Farouki, Rida T.; al-Kandari, Mohammad; Pottmann, Helmut
1
2002
Construction and shape analysis of PH quintic Hermite interpolants. Zbl 0971.68186
Moon, H. P.; Farouki, R. T.; Choi, H. I.
36
2001
Efficient solution of the complex quadratic tridiagonal system for \(C^2\) PH quintic splines. Zbl 0987.65016
Farouki, Rida T.; Kuspa, Bethany K.; Manni, Carla; Sestini, Alessandra
19
2001
Minkowski geometric algebra of complex sets. Zbl 0987.51012
Farouki, Rida T.; Pyo Moon, Hwan; Ravani, Bahram
15
2001
Performance analysis of CNC interpolators for time-dependent feedrates along PH curves. Zbl 0971.68172
Tsai, Y.-F.; Farouki, R. T.; Feldman, B.
13
2001
Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in Bernstein form. Zbl 1070.65515
Tsai, Yi-Feng; Farouki, Rida T.
10
2001
Computation of optimal composite re-parameterizations. Zbl 0984.68161
Costantini, Paolo; Farouki, Rida T.; Manni, Carla; Sestini, Alessandra
10
2001
Gauss map computation for free-form surfaces. Zbl 0984.68162
Smith, Tait S.; Farouki, Rida T.
2
2001
Legendre-Bernstein basis transformations. Zbl 0962.65042
Farouki, Rida T.
33
2000
Algorithms for Minkowski products and implicitly-defined complex sets. Zbl 0948.65016
Farouki, Rida T.; Moon, Hwan Pyo; Ravani, Bahram
10
2000
Bipolar and multipolar coordinates. Zbl 0967.65026
Farouki, Rida T.; Moon, Hwan Pyo
4
2000
Physical constraints on feedrates and feed accelerations along curved tool paths. Zbl 0938.68126
Farouki, R. T.; Tsai, Y.-F.; Wilson, C. S.
3
2000
Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. I: Theoretical foundations. Zbl 0939.65018
Ramamurthy, Rajesh; Farouki, Rida T.
13
1999
Convergent inversion approximations for polynomials in Bernstein form. Zbl 0939.68126
Farouki, R. T.
9
1999
Voronoi diagram and medial axis algorithm for planar domains with curved boundaries. II: Detailed algorithm description. Zbl 0962.65017
Ramamurthy, Rajesh; Farouki, Rida T.
7
1999
Contour machining of free-form surfaces with real-time PH curve CNC interpolators. Zbl 0908.68175
Farouki, Rida T.; Tsai, Yi-Feng; Yuan, Guo-Feng
6
1999
Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves. Zbl 1049.68723
Farouki, Rida T.; Manjunathaiah, Jairam; Nicholas, David; Yuan, Guo-Feng; Jee, Sungchul
31
1998
Specified-precision computation of curve/curve bisectors. Zbl 1026.65010
Farouki, Rida T.; Ramamurthy, Rajesh
11
1998
Design of rational cam profiles with Pythagorean-hodograph curves. Zbl 1049.70536
Farouki, R. T.; Manjunathaiah, J.; Jee, S.
11
1998
Least-squares tool path approximation with Pythagorean-hodograph curves for high-speed CNC machining. Zbl 0959.65027
Farouki, R. T.; Saitou, K.; Tsai, Y.-F.
6
1998
Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries. Zbl 0905.68149
Farouki, Rida T.; Ramamurthy, Rajesh
5
1998
Cycles upon cycles: An anecdotal history of higher curves in science and engineering. Zbl 0904.65017
Farouki, Rida T.; Rampersad, Joanne
5
1998
On integrating lines of curvature. Zbl 0996.65021
Farouki, Rida T.
1
1998
Optimal parameterizations. Zbl 0906.68156
Farouki, Rida T.
13
1997
Conic approximation of conic offsets. Zbl 0872.68183
Farouki, Rida T.
4
1997
On the optimal stability of the Bernstein basis. Zbl 0853.65051
Farouki, R. T.; Goodman, T. N. T.
54
1996
The elastic bending energy of Pythagorean-hodograph curves. Zbl 0875.68861
Farouki, Rida T.
38
1996
Construction of \(C^ 2\) Pythagorean-hodograph interpolating splines by the homotopy method. Zbl 0866.65008
Albrecht, Gudrun; Farouki, Rida T.
37
1996
...and 30 more Documents
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Cited by 868 Authors

97 Farouki, Rida T.
22 Sestini, Alessandra
19 Lávička, Miroslav
18 Jüttler, Bert
18 Sakkalis, Takis
17 Han, Chang Yong
16 Pyo Moon, Hwan
16 Šír, Zbyněk
15 Giannelli, Carlotta
15 Peña, Juan Manuel
14 Sendra, Juan Rafael
13 Winkler, Joab R.
12 Alcazar, Juan Gerardo
12 Kim, Gwang Il
12 Manni, Carla
12 Sánchez-Reyes, Javier
11 Krajnc, Marjeta
10 Kwon, Song-Hwa
10 Pérez-Díaz, Sonia
10 Sampoli, Maria Lucia
10 Wang, Guozhao
9 Ahn, Young Joon
9 Rababah, Abedallah
9 Vitrih, Vito
8 Bastl, Bohumír
8 Bizzarri, Michal
8 Choi, Hyeong In
8 Meek, Dereck S.
8 Pottmann, Helmut
8 Walton, Desmond J.
8 Žagar, Emil
7 Albrecht, Gudrun
7 Monterde, Juan
7 Sendra, Juana
7 Vršek, Jan
7 Wang, Wenping
6 Corless, Robert Malcolm
6 Delgado, Jorge F. M.
6 Hoffmann, Christoph M.
6 Kosinka, Jiří
6 Kozak, Jernej
5 Ait-Haddou, Rachid
5 Biard, Luc
5 Díaz-Toca, Gema María
5 Gonzalez-Vega, Laureano
5 Hass, Joel
5 Kim, Soohyun
5 Kong, Jae-Hoon
5 Lee, Sunhong
5 Lu, Lizheng
5 Lu, Wei
5 Luo, Zhongxuan
5 Marco García, Ana
5 Martínez, José-Javier
5 Noldeke, Georg
5 Pelosi, Francesca
5 Peña, Jorge
5 Peternell, Martin
5 Sederberg, Thomas W.
4 Caravantes, Jorge
4 Dospra, Petroula
4 Elber, Gershon
4 Farin, Gerald E.
4 Goldman, Ron N.
4 Hu, Wenyu
4 Korpinar, Talat
4 Lee, Hyun Chol
4 Neff, C. Andrew
4 Paluszny, Marco
4 Patrikalakis, Nicholas M.
4 Ramamurthy, Rajesh
4 Romani, Lucia
4 Shen, Liyong
4 Simsek, Yilmaz
4 Zidna, Ahmed
3 Ainsworth, Mark
3 Aldaz, Jésus Munárriz
3 AlQudah, Mohammad A.
3 Amiraslani, Amirhossein
3 Babolian, Esmail
3 Băleanu, Dumitru I.
3 Barrio, Roberto
3 Beccari, Carolina Vittoria
3 Bhrawy, Ali Hassan
3 Bourne, Martin
3 Cheng, Jinsan
3 De Jaegher, Kris
3 Doha, Eid H.
3 Emiris, Ioannis Z.
3 Evans, John A.
3 Fang, Lincong
3 Feng, Erbao
3 Fioravanti, Mario A.
3 Floater, Michael S.
3 Garloff, Jürgen
3 Gentili, Graziano
3 Goodman, Timothy N. T.
3 Han, Xuli
3 Hermann, Thomas
3 Hermoso Ortiz, Carlos
...and 768 more Authors
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Cited in 143 Serials

222 Computer Aided Geometric Design
74 Journal of Computational and Applied Mathematics
32 Journal of Symbolic Computation
29 Applied Mathematics and Computation
25 Advances in Computational Mathematics
13 Numerical Algorithms
12 Mathematics of Computation
10 Computer Methods in Applied Mechanics and Engineering
9 Mathematics and Computers in Simulation
8 Theoretical Computer Science
8 Applied Mathematical Modelling
8 Linear Algebra and its Applications
7 Computational Geometry
6 Applied Numerical Mathematics
6 International Journal of Computational Geometry & Applications
6 Computational and Applied Mathematics
5 Journal of Approximation Theory
5 Journal of Pure and Applied Algebra
5 International Journal of Production Research
5 Applied Mathematics. Series B (English Edition)
5 Journal of Applied Mathematics
5 Advances in Difference Equations
5 Mathematics in Computer Science
5 Journal of Theoretical Biology
4 Computers & Mathematics with Applications
4 Journal of Computational Physics
4 Journal of Mathematical Analysis and Applications
4 Numerische Mathematik
4 SIAM Journal on Matrix Analysis and Applications
4 International Journal of Computer Mathematics
4 SIAM Journal on Scientific Computing
4 Mediterranean Journal of Mathematics
3 Journal of Mathematical Physics
3 Mathematical Methods in the Applied Sciences
3 International Journal for Numerical Methods in Engineering
3 Journal of Geometry
3 Applied Mathematics Letters
3 Journal of Global Optimization
3 Turkish Journal of Mathematics
3 Annals of Mathematics and Artificial Intelligence
3 International Journal of Shape Modeling
3 Abstract and Applied Analysis
3 Journal of Systems Science and Complexity
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 International Journal of Geometric Methods in Modern Physics
3 Boundary Value Problems
3 Journal of Zhejiang University. Science A
2 Discrete Applied Mathematics
2 International Journal of Systems Science
2 Journal of Geometry and Physics
2 ACM Transactions on Mathematical Software
2 BIT
2 Computing
2 Journal of the Korean Mathematical Society
2 Numerical Functional Analysis and Optimization
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 ACM Transactions on Graphics
2 Constructive Approximation
2 Mathematical and Computer Modelling
2 International Journal of Mathematics
2 International Journal of Algebra and Computation
2 Applicable Algebra in Engineering, Communication and Computing
2 Formal Methods in System Design
2 Reliable Computing
2 Journal of Inequalities and Applications
2 Journal of Applied Mathematics and Computing
2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica
2 Symmetry
2 International Journal of Applied and Computational Mathematics
1 Acta Mechanica
1 Bulletin of the Australian Mathematical Society
1 Information Processing Letters
1 Linear and Multilinear Algebra
1 Periodica Mathematica Hungarica
1 Scandinavian Journal of Statistics
1 The Mathematical Intelligencer
1 Geometriae Dedicata
1 Information Sciences
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Theoretical Population Biology
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Bulletin of the Iranian Mathematical Society
1 Facta Universitatis. Series Mathematics and Informatics
1 Journal of Automated Reasoning
1 Annals of Operations Research
1 Journal of Intelligent & Robotic Systems
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Adaptive Control and Signal Processing
1 Games and Economic Behavior
1 Pattern Recognition
1 SIAM Review
1 Computational Statistics and Data Analysis
1 Mathematical Programming. Series A. Series B
1 SIAM Journal on Optimization
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Applied and Computational Harmonic Analysis
...and 43 more Serials
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Cited in 43 Fields

507 Numerical analysis (65-XX)
150 Computer science (68-XX)
98 Approximations and expansions (41-XX)
86 Differential geometry (53-XX)
76 Algebraic geometry (14-XX)
27 Geometry (51-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
23 Special functions (33-XX)
22 Operations research, mathematical programming (90-XX)
20 Field theory and polynomials (12-XX)
19 Real functions (26-XX)
18 Partial differential equations (35-XX)
15 Number theory (11-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Mechanics of deformable solids (74-XX)
11 Commutative algebra (13-XX)
10 Ordinary differential equations (34-XX)
10 Mechanics of particles and systems (70-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Biology and other natural sciences (92-XX)
9 Systems theory; control (93-XX)
8 Functions of a complex variable (30-XX)
8 Statistics (62-XX)
8 Fluid mechanics (76-XX)
7 Integral equations (45-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Combinatorics (05-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operator theory (47-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 General and overarching topics; collections (00-XX)
3 Associative rings and algebras (16-XX)
3 Topological groups, Lie groups (22-XX)
3 Optics, electromagnetic theory (78-XX)
2 Convex and discrete geometry (52-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Information and communication theory, circuits (94-XX)
1 Measure and integration (28-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Relativity and gravitational theory (83-XX)

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