Rida T. Farouki
According to our database1,
Rida T. Farouki
authored at least 145 papers
between 1983 and 2025.
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Bibliography
2025
Control point modifications that preserve the Pythagorean-hodograph nature of planar quintic curves.
J. Comput. Appl. Math., 2025
Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves.
J. Comput. Appl. Math., 2025
2023
Comput. Aided Geom. Des., October, 2023
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints.
Comput. Aided Geom. Des., June, 2023
2022
Comput. Aided Des., 2022
Appl. Math. Comput., 2022
2021
Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves.
J. Comput. Appl. Math., 2021
Comput. methods Biomech. Biomed. Eng. Imaging Vis., 2021
Comput. Aided Geom. Des., 2021
Comput. Aided Des., 2021
Spatial C2 closed loops of prescribed arc length defined by Pythagorean-hodograph curves.
Appl. Math. Comput., 2021
2020
Computing the roots of sparse high-degree polynomials that arise from the study of random simplicial complexes.
Numer. Algorithms, 2020
Mapping rational rotation-minimizing frames from polynomial curves on to rational curves.
Comput. Aided Geom. Des., 2020
Comput. Aided Geom. Des., 2020
Singular cases of planar and spatial <i>C</i><sup>1</sup> Hermite interpolation problems based on quintic Pythagorean-hodograph curves.
Comput. Aided Geom. Des., 2020
Optimized Routine of Machining Distortion Characterization Based on Gaussian Surface Curvature.
Proceedings of the 2nd International Conference of the DFG International Research Training Group 2057, 2020
2019
Existence of Pythagorean-hodograph quintic interpolants to spatial <i>G</i><sup>1</sup> Hermite data with prescribed arc lengths.
J. Symb. Comput., 2019
Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames.
J. Comput. Appl. Math., 2019
Comput. Aided Geom. Des., 2019
2018
<i>C</i><sup>1</sup> and <i>C</i><sup>2</sup> interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames.
Comput. Aided Geom. Des., 2018
Appl. Math. Comput., 2018
Rational frames of minimal twist along space curves under specified boundary conditions.
Adv. Comput. Math., 2018
2017
Helical polynomial curves interpolating G<sup>1</sup> data with prescribed axes and pitch angles.
Comput. Aided Geom. Des., 2017
A real-time CNC interpolator algorithm for trimming and filling planar offset curves.
Comput. Aided Des., 2017
A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames.
Adv. Comput. Math., 2017
2016
J. Symb. Comput., 2016
Geometry of the ringed surfaces in R<sup>4</sup> that generate spatial Pythagorean hodographs.
J. Symb. Comput., 2016
Construction of G<sup>1</sup> planar Hermite interpolants with prescribed arc lengths.
Comput. Aided Geom. Des., 2016
Appl. Math. Comput., 2016
Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form.
Adv. Comput. Math., 2016
2015
Algorithm 952: PHquintic: A Library of Basic Functions for the Construction and Analysis of Planar Quintic Pythagorean-Hodograph Curves.
ACM Trans. Math. Softw., 2015
Rational swept surface constructions based on differential and integral sweep curve properties.
Comput. Aided Geom. Des., 2015
Comput. Aided Geom. Des., 2015
2014
C<sup>2</sup> interpolation of spatial data subject to arc-length constraints using Pythagorean-hodograph quintic splines.
Graph. Model., 2014
Comput. Aided Geom. Des., 2014
Comput. Aided Geom. Des., 2014
2013
Corrigendum to "Rational rotation-minimizing frames on polynomial space curves of arbitrary degree" [J. Symbolic Comput. 45(8) (2010) 844-856].
J. Symb. Comput., 2013
Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves.
J. Symb. Comput., 2013
Comput. Aided Geom. Des., 2013
Comput. Aided Geom. Des., 2013
Adv. Comput. Math., 2013
2012
Math. Comput., 2012
Math. Comput. Sci., 2012
A complete classification of quintic space curves with rational rotation-minimizing frames.
J. Symb. Comput., 2012
J. Comput. Appl. Math., 2012
Comput. Aided Geom. Des., 2012
2011
Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves.
Comput. Aided Geom. Des., 2011
2010
J. Symb. Comput., 2010
Construction and smoothing of triangular Coons patches with geodesic boundary curves.
Comput. Aided Geom. Des., 2010
Comput. Aided Geom. Des., 2010
Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves.
Adv. Comput. Math., 2010
Design of C 2 Spatial Pythagorean-Hodograph Quintic Spline Curves by Control Polygons.
Proceedings of the Curves and Surfaces, 2010
2009
Comput. Animat. Virtual Worlds, 2009
Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves.
J. Symb. Comput., 2009
Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations.
J. Symb. Comput., 2009
Comput. Aided Geom. Des., 2009
Comput. Aided Geom. Des., 2009
Comput. Aided Des., 2009
2008
Geometry and Computing 1, Springer, ISBN: 978-3-540-73398-0, 2008
Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures.
Comput. Aided Geom. Des., 2008
Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants.
Comput. Aided Geom. Des., 2008
Proceedings of the Mathematical Methods for Curves and Surfaces, 2008
2007
Time-Optimal feedrates along Curved Paths for Cartesian CNC Machines with prescribed Bounds on Axis velocities and Accelerations.
Int. J. Robotics Autom., 2007
A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation.
Comput. Aided Geom. Des., 2007
A control polygon scheme for design of planar C<sup>2</sup> PH quintic spline curves.
Comput. Aided Geom. Des., 2007
Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme.
Adv. Comput. Math., 2007
Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems.
Appl. Algebra Eng. Commun. Comput., 2007
Proceedings of the Computer Mathematics, 8th Asian Symposium, 2007
2005
Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves.
Numer. Algorithms, 2005
Adv. Comput. Math., 2005
Adv. Comput. Math., 2005
Proceedings of the Mathematics of Surfaces XI, 2005
2004
Numer. Algorithms, 2004
Corrigendum to: 'Linear perturbation methods for topologically consistent representations of free-form surface intersections': Computer Aided Geometric Design 21 (2004) 303-319.
Comput. Aided Geom. Des., 2004
Linear perturbation methods for topologically consistent representations of free-form surface intersections.
Comput. Aided Geom. Des., 2004
Comput. Aided Geom. Des., 2004
2003
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves.
Comput. Aided Geom. Des., 2003
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains.
Comput. Aided Geom. Des., 2003
2002
Graph. Model., 2002
Comput. Aided Geom. Des., 2002
Adv. Comput. Math., 2002
Proceedings of the Third International Workshop "Visualization and Mathematics", 2002
Proceedings of the Handbook of Computer Aided Geometric Design, 2002
2001
Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in Bernstein form.
ACM Trans. Math. Softw., 2001
Efficient Solution of the Complex Quadratic Tridiagonal System for C2 PH Quintic Splines.
Numer. Algorithms, 2001
Performance analysis of CNC interpolators for time-dependent feedrates along PH curves.
Comput. Aided Geom. Des., 2001
Comput. Aided Geom. Des., 2001
Comput. Aided Geom. Des., 2001
Comput. Aided Des., 2001
2000
Comput. Aided Geom. Des., 2000
Adv. Comput. Math., 2000
Bipolar and Multipolar Coordinates.
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces, 2000
Proceedings of the Geometric Modeling and Processing 2000, 2000
1999
Comput. Aided Geom. Des., 1999
Comput. Aided Geom. Des., 1999
1998
Int. J. Comput. Geom. Appl., 1998
Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries.
Comput. Aided Geom. Des., 1998
Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves.
Comput. Aided Des., 1998
1997
Comput. Aided Des., 1997
1996
Comput. Aided Geom. Des., 1996
Comput. Aided Geom. Des., 1996
Comput. Aided Des., 1996
Construction of<i>C</i><sup>2</sup> Pythagorean-hodograph interpolating splines by the homotopy method.
Adv. Comput. Math., 1996
1995
1994
Comput. Aided Geom. Des., 1994
Polynomial and Rational Pythagorean-Hodograph Curves Reconciled.
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces, 1994
1993
1992
IEEE Computer Graphics and Applications, 1992
Computing Point/Curve and Curve/Curve Bisectors.
Proceedings of the 5th IMA Conference on the Mathematics of Surfaces, 1992
Proceedings of the Geometry Processing for Design and Manufacturing, 1992
1991
Comput. Aided Geom. Des., 1991
1990
1989
ACM Trans. Graph., 1989
1988
Comput. Aided Geom. Des., 1988
Numerical Stability in Geometric Algorithms and Representations.
Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces, 1988
1987
Comput. Aided Geom. Des., 1987
1986
Comput. Vis. Graph. Image Process., 1986
1985
1983