Rida T. Farouki

Publication Activity (10 Years)

Years Active: 1983-2024
Publications (10 Years): 35

Top Venues

Comput. Aided Geom. Des.

Comput. Aided Des.

Appl. Math. Comput.

Adv. Comput. Math.

Publications

Rida T. Farouki, Marjeta Knez, Vito Vitrih, Emil Zagar
Application of a metric for complex polynomials to bounded modification of planar Pythagorean-hodograph curves. CoRR (2024)
Rida T. Farouki, Francesca Pelosi, Maria Lucia Sampoli
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints. Comput. Aided Geom. Des. 103 (2023)
Rida T. Farouki
Partition of the space of planar quintic Pythagorean-hodograph curves. Comput. Aided Geom. Des. 106 (2023)
Rida T. Farouki
Identifying Pythagorean-Hodograph Curves Closest to Prescribed Planar Bézier Curves. Comput. Aided Des. 149 (2022)
Rida T. Farouki, Marjeta Knez, Vito Vitrih, Emil Zagar
On the construction of polynomial minimal surfaces with Pythagorean normals. Appl. Math. Comput. 435 (2022)
Rida T. Farouki, Marjeta Knez, Vito Vitrih, Emil Zagar
Planar projections of spatial Pythagorean-hodograph curves. Comput. Aided Geom. Des. 91 (2021)
Rida T. Farouki, Francesca Pelosi, Maria Lucia Sampoli
Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves. J. Comput. Appl. Math. 382 (2021)
Rida T. Farouki, Jack R. Swett, Rachel Ward Rohlen, David B. Smith
Real-time needle guidance for venipuncture based on optical coherence tomography. Comput. methods Biomech. Biomed. Eng. Imaging Vis. 9 (6) (2021)
Rida T. Farouki, Marjeta Knez, Vito Vitrih, Emil Zagar
Spatial C2 closed loops of prescribed arc length defined by Pythagorean-hodograph curves. Appl. Math. Comput. 391 (2021)
Rida T. Farouki
Accurate Real-time CNC Curve Interpolators Based Upon Richardson Extrapolation. Comput. Aided Des. 135 (2021)
Destiny R. Garcia, Barbara Linke, Rida T. Farouki
Optimized Routine of Machining Distortion Characterization Based on Gaussian Surface Curvature. iPMVM (2020)
Rida T. Farouki, Jeffrey A. Strom
Computing the roots of sparse high-degree polynomials that arise from the study of random simplicial complexes. Numer. Algorithms 83 (4) (2020)
Rida T. Farouki, Zbynek Sír
Mapping rational rotation-minimizing frames from polynomial curves on to rational curves. Comput. Aided Geom. Des. 78 (2020)
Rida T. Farouki, Kai Hormann, Federico Nudo
Hermite interpolation problems based on quintic Pythagorean-hodograph curves. Comput. Aided Geom. Des. 82 (2020)
Rida T. Farouki, Soo Hyun Kim, Hwan Pyo Moon
Construction of periodic adapted orthonormal frames on closed space curves. Comput. Aided Geom. Des. 76 (2020)
Rida T. Farouki
Hermite data with prescribed arc lengths. J. Symb. Comput. 95 (2019)
Rida T. Farouki, Graziano Gentili, Hwan Pyo Moon, Caterina Stoppato
Minkowski products of unit quaternion sets. Adv. Comput. Math. 45 (3) (2019)
Rida T. Farouki, Francesca Pelosi, Maria Lucia Sampoli
Optimization of Corner Blending Curves. Comput. Aided Des. 117 (2019)
Rida T. Farouki, Takis Sakkalis
Construction of rational curves with rational arc lengths by direct integration. Comput. Aided Geom. Des. 74 (2019)
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames. J. Comput. Appl. Math. 352 (2019)
Hwan Pyo Moon, Rida T. Farouki
interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames. Comput. Aided Geom. Des. 66 (2018)
Rida T. Farouki, Hwan Pyo Moon
Rational frames of minimal twist along space curves under specified boundary conditions. Adv. Comput. Math. 44 (5) (2018)
Rida T. Farouki
Reduced difference polynomials and self-intersection computations. Appl. Math. Comput. 324 (2018)
Rida T. Farouki, Jyothirmai Srinathu
A real-time CNC interpolator algorithm for trimming and filling planar offset curves. Comput. Aided Des. 86 (2017)
Rida T. Farouki, Graziano Gentili, Carlotta Giannelli, Alessandra Sestini, Caterina Stoppato
A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames. Adv. Comput. Math. 43 (1) (2017)
Rida T. Farouki
data with prescribed axes and pitch angles. Comput. Aided Geom. Des. 56 (2017)
Rida T. Farouki
Rational rotation-minimizing frames - Recent advances and open problems. Appl. Math. Comput. 272 (2016)
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form. Adv. Comput. Math. 42 (1) (2016)
Rida T. Farouki
planar Hermite interpolants with prescribed arc lengths. Comput. Aided Geom. Des. 46 (2016)
Rida T. Farouki, Graziano Gentili, Carlotta Giannelli, Alessandra Sestini, Caterina Stoppato
Solution of a quadratic quaternion equation with mixed coefficients. J. Symb. Comput. 74 (2016)
Rida T. Farouki, Robert Gutierrez
that generate spatial Pythagorean hodographs. J. Symb. Comput. 73 (2016)
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
Identification and "reverse engineering" of Pythagorean-hodograph curves. Comput. Aided Geom. Des. 34 (2015)
Rida T. Farouki
Arc lengths of rational Pythagorean-hodograph curves. Comput. Aided Geom. Des. 34 (2015)
Rida T. Farouki, Kevin M. Nittler
Rational swept surface constructions based on differential and integral sweep curve properties. Comput. Aided Geom. Des. 33 (2015)
Bohan Dong, Rida T. Farouki
Algorithm 952: PHquintic: A Library of Basic Functions for the Construction and Analysis of Planar Quintic Pythagorean-Hodograph Curves. ACM Trans. Math. Softw. 41 (4) (2015)
Rida T. Farouki, Chang Yong Han, Shiqiao Li
Inverse kinematics for optimal tool orientation control in 5-axis CNC machining. Comput. Aided Geom. Des. 31 (1) (2014)
Rida T. Farouki
rounded corners with Pythagorean-hodograph curves. Comput. Aided Geom. Des. 31 (2) (2014)
Mathieu Huard, Rida T. Farouki, Nathalie Sprynski, Luc Biard
interpolation of spatial data subject to arc-length constraints using Pythagorean-hodograph quintic splines. Graph. Model. 76 (1) (2014)
Rida T. Farouki, Carlotta Giannelli, Maria Lucia Sampoli, Alessandra Sestini
Rotation-minimizing osculating frames. Comput. Aided Geom. Des. 31 (1) (2014)
Rida T. Farouki, Petroula Dospra, Takis Sakkalis
Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves. J. Symb. Comput. 58 (2013)
Rida T. Farouki, Takis Sakkalis
Corrigendum to "Rational rotation-minimizing frames on polynomial space curves of arbitrary degree" [J. Symbolic Comput. 45(8) (2010) 844-856]. J. Symb. Comput. 58 (2013)
Rida T. Farouki, Shiqiao Li
Optimal tool orientation control for 5-axis CNC milling with ball-end cutters. Comput. Aided Geom. Des. 30 (2) (2013)
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
An interpolation scheme for designing rational rotation-minimizing camera motions. Adv. Comput. Math. 38 (1) (2013)
Rida T. Farouki, Chang Yong Han, Petroula Dospra, Takis Sakkalis
Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants. Comput. Aided Geom. Des. 30 (7) (2013)
Takis Sakkalis, Rida T. Farouki
Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3. J. Comput. Appl. Math. 236 (17) (2012)
Rida T. Farouki
The Bernstein polynomial basis: A centennial retrospective. Comput. Aided Geom. Des. 29 (6) (2012)
Rida T. Farouki, Carlotta Giannelli, Carla Manni, Alessandra Sestini
Design of rational rotation-minimizing rigid body motions by Hermite interpolation. Math. Comput. 81 (278) (2012)
Hongbo Li, Rida T. Farouki, Dingkang Wang
Foreword to the Special Focus on Mathematics and Algorithms for CAM and CNC. Math. Comput. Sci. 6 (3) (2012)
Rida T. Farouki, Takis Sakkalis
A complete classification of quintic space curves with rational rotation-minimizing frames. J. Symb. Comput. 47 (2) (2012)
Rida T. Farouki, Zbynek Sír
Rational Pythagorean-hodograph space curves. Comput. Aided Geom. Des. 28 (2) (2011)
Rida T. Farouki, Takis Sakkalis
Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves. Comput. Aided Geom. Des. 28 (7) (2011)
Rida T. Farouki, Nicolas Szafran, Luc Biard
Construction and smoothing of triangular Coons patches with geodesic boundary curves. Comput. Aided Geom. Des. 27 (4) (2010)
Rida T. Farouki
Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves. Adv. Comput. Math. 33 (3) (2010)
Rida T. Farouki, Takis Sakkalis
Rational rotation-minimizing frames on polynomial space curves of arbitrary degree. J. Symb. Comput. 45 (8) (2010)
Luc Biard, Rida T. Farouki, Nicolas Szafran
Construction of rational surface patches bounded by lines of curvature. Comput. Aided Geom. Des. 27 (5) (2010)
Rida T. Farouki, Carla Manni, Francesca Pelosi, Maria Lucia Sampoli
Design of C 2 Spatial Pythagorean-Hodograph Quintic Spline Curves by Control Polygons. Curves and Surfaces (2010)
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations. J. Symb. Comput. 44 (2) (2009)
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves. J. Symb. Comput. 44 (4) (2009)
Rida T. Farouki, Nicolas Szafran, Luc Biard
Existence conditions for Coons patches interpolating geodesic boundary curves. Comput. Aided Geom. Des. 26 (5) (2009)
Rida T. Farouki, Nicolas Szafran, Luc Biard
Construction of Bézier surface patches with Bézier curves as geodesic boundaries. Comput. Aided Des. 41 (11) (2009)
Rida T. Farouki, Carlotta Giannelli, Carla Manni, Alessandra Sestini
Quintic space curves with rational rotation-minimizing frames. Comput. Aided Geom. Des. 26 (5) (2009)
Rida T. Farouki, Carlotta Giannelli
Spatial camera orientation control by rotation-minimizing directed frames. Comput. Animat. Virtual Worlds 20 (4) (2009)
Rida T. Farouki, Bert Jüttler, Carla Manni
Pythagorean-hodograph curves and related topics. Comput. Aided Geom. Des. 25 (4-5) (2008)
Hyeong In Choi, Rida T. Farouki, Song-Hwa Kwon, Hwan Pyo Moon
Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants. Comput. Aided Geom. Des. 25 (6) (2008)
Rida T. Farouki, Carlotta Giannelli, Carla Manni, Alessandra Sestini
Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. Comput. Aided Geom. Des. 25 (4-5) (2008)
Rida T. Farouki, Carlotta Giannelli, Alessandra Sestini
Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames. MMCS (2008)
Sebastian D. Timar, Rida T. Farouki, Casey L. Boyadjieff
Time-Optimal feedrates along Curved Paths for Cartesian CNC Machines with prescribed Bounds on Axis velocities and Accelerations. Int. J. Robotics Autom. 22 (2) (2007)
Francesca Pelosi, Maria Lucia Sampoli, Rida T. Farouki, Carla Manni
PH quintic spline curves. Comput. Aided Geom. Des. 24 (1) (2007)
Rida T. Farouki, Chang Yong Han
Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems. Appl. Algebra Eng. Commun. Comput. 18 (1-2) (2007)
Hyeong In Choi, Rida T. Farouki, Chang Yong Han, Hwan Pyo Moon
Computing the Minkowski Value of the Exponential Function over a Complex Disk. ASCM (2007)
Rida T. Farouki, Takis Sakkalis
Rational space curves are not "unit speed". Comput. Aided Geom. Des. 24 (4) (2007)
Christian Perwass, Rida T. Farouki, Lyle Noakes
A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation. Comput. Aided Geom. Des. 24 (4) (2007)
Joel Hass, Rida T. Farouki, Chang Yong Han, Xiaowen Song, Thomas W. Sederberg
Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme. Adv. Comput. Math. 27 (1) (2007)
Rida T. Farouki, Chang Yong Han
Solution of elementary equations in the Minkowski geometric algebra of complex sets. Adv. Comput. Math. 22 (4) (2005)
Rida T. Farouki, Chang Yong Han, Joel Hass
Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves. Numer. Algorithms 40 (3) (2005)
Casey L. Boyadjieff, Rida T. Farouki, Sebastian D. Timar
Smoothing of Time-Optimal Feedrates for Cartesian CNC Machines. IMA Conference on the Mathematics of Surfaces (2005)
Francesca Pelosi, Rida T. Farouki, Carla Manni, Alessandra Sestini
Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics. Adv. Comput. Math. 22 (4) (2005)
Xiaowen Song, Thomas W. Sederberg, Jianmin Zheng, Rida T. Farouki, Joel Hass
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. 21 (2004)
Xiaowen Song, Thomas W. Sederberg, Jianmin Zheng, Rida T. Farouki, Joel Hass
Linear perturbation methods for topologically consistent representations of free-form surface intersections. Comput. Aided Geom. Des. 21 (2004)
Rida T. Farouki, Chang Yong Han, Joel Hass, Thomas W. Sederberg
Topologically consistent trimmed surface approximations based on triangular patches. Comput. Aided Geom. Des. 21 (2004)
Rida T. Farouki, Chang Yong Han
Computation of Minkowski Values of Polynomials over Complex Sets. Numer. Algorithms 36 (1) (2004)
Rida T. Farouki, Tim N. T. Goodman, Tomas Sauer
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. Comput. Aided Geom. Des. 20 (4) (2003)
Rida T. Farouki, Chang Yong Han
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. Comput. Aided Geom. Des. 20 (7) (2003)
Rida T. Farouki, Hwan Pyo Moon
Minkowski Geometric Algebra and the Stability of Characteristic Polynomials. VisMath (2002)
Rida T. Farouki, Mohammad al-Kandari, Takis Sakkalis
Structural invariance of spatial Pythagorean hodographs. Comput. Aided Geom. Des. 19 (6) (2002)
Rida T. Farouki, Mohammad al-Kandari, Takis Sakkalis
Hermite Interpolation by Rotation-Invariant Spatial Pythagorean-Hodograph Curves. Adv. Comput. Math. 17 (4) (2002)
Tait S. Smith, Rida T. Farouki, Mohammad al-Kandari, Helmut Pottmann
Optimal slicing of free-form surfaces. Comput. Aided Geom. Des. 19 (1) (2002)
Rida T. Farouki, Helmut Pottmann
Exact Minkowski Products of N Complex Disks. Reliab. Comput. 8 (1) (2002)
Rida T. Farouki
Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves. Graph. Model. 64 (6) (2002)
Hwan Pyo Moon, Rida T. Farouki, Hyeong In Choi
Construction and shape analysis of PH quintic Hermite interpolants. Comput. Aided Geom. Des. 18 (2) (2001)
Paolo Costantini, Rida T. Farouki, Carla Manni, Alessandra Sestini
Computation of optimal composite re-parameterizations. Comput. Aided Geom. Des. 18 (9) (2001)
Tait S. Smith, Rida T. Farouki
Gauss map computation for free-form surfaces. Comput. Aided Geom. Des. 18 (9) (2001)
Yi-Feng Tsai, Rida T. Farouki
Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in Bernstein form. ACM Trans. Math. Softw. 27 (2) (2001)
Rida T. Farouki, Carla Manni, Alessandra Sestini
Real-time CNC interpolators for Bézier conics. Comput. Aided Geom. Des. 18 (7) (2001)
Yi-Feng Tsai, Rida T. Farouki, Bryan Feldman
Performance analysis of CNC interpolators for time-dependent feedrates along PH curves. Comput. Aided Geom. Des. 18 (3) (2001)
Rida T. Farouki, Yi-Feng Tsai
Exact Taylor series coefficients for variable-feedrate CNC curve interpolators. Comput. Aided Des. 33 (2) (2001)
Rida T. Farouki, Bethany K. Kuspa, Carla Manni, Alessandra Sestini
Efficient Solution of the Complex Quadratic Tridiagonal System for C2 PH Quintic Splines. Numer. Algorithms 27 (1) (2001)
Rida T. Farouki, Hwan Pyo Moon
Bipolar and Multipolar Coordinates. IMA Conference on the Mathematics of Surfaces (2000)
Rida T. Farouki, Weiqing Gu, Hwan Pyo Moon
Minkowski Roots of Complex Sets. GMP (2000)
Rida T. Farouki, Hwan Pyo Moon, Bahram Ravani
Algorithms for Minkowski products and implicitly-defined complex sets. Adv. Comput. Math. 13 (3) (2000)

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Publication Activity (10 Years)

Top Topics

Top Venues

Rida T. Farouki