Rida T. Farouki

发表

Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics

Carla Manni, Francesca Pelosi, Rida T. Farouki, 2005, Adv. Comput. Math..

Rational minimal-twist motions on curves with rotation-minimizing Euler-Rodrigues frames

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2019, J. Comput. Appl. Math..

1. Pythagorean - Hodograph Curves in Practical Use

Rida T. Farouki, R. Farouki, 1992, Geometry Processing for Design and Manufacturing.

Optimal slicing of free-form surfaces

Helmut Pottmann, Rida T. Farouki, Tait S. Smith, 2002, Comput. Aided Geom. Des..

A complete classification of quintic space curves with rational rotation-minimizing frames

Rida T. Farouki, Takis Sakkalis, T. Sakkalis, 2012, J. Symb. Comput..

Cycles upon cycles: an anecdotal history of higher curves in science and engineering

Rida T. Farouki, Joanne Rampersad, 1998 .

Rational swept surface constructions based on differential and integral sweep curve properties

Rida T. Farouki, Kevin M. Nittler, R. Farouki, 2015, Comput. Aided Geom. Des..

Exact Taylor series coefficients for variable-feedrate CNC curve interpolators

Rida T. Farouki, Yi-Feng Tsai, R. Farouki, 2001, Comput. Aided Des..

Inverse dynamics toolpath compensation for CNC machines based on model predictive control

Rida T. Farouki, Benjamin W. L. Margolis, R. Farouki, 2020, The International Journal of Advanced Manufacturing Technology.

Optimal parameterizations

Rida T. Farouki, R. Farouki, 1997, Comput. Aided Geom. Des..

Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves

Rida T. Farouki, Chang Yong Han, 2003, Comput. Aided Geom. Des..

Computing Minkowski sums of plane curves

Rida T. Farouki, Anil Kaul, Anil Kaul, 1995, Int. J. Comput. Geom. Appl..

Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2009, J. Symb. Comput..

Gauss map computation for free-form surfaces

Rida T. Farouki, Tait S. Smith, R. Farouki, 2001, Comput. Aided Geom. Des..

Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves

Rida T. Farouki, Takis Sakkalis, Petroula Dospra, 2013, J. Symb. Comput..

The elastic bending energy of Pythagorean-hodograph curves

Rida T. Farouki, R. Farouki, 1996, Comput. Aided Geom. Des..

Arc lengths of rational Pythagorean-hodograph curves

Rida T. Farouki, R. Farouki, 2015, Comput. Aided Geom. Des..

Automatic parsing of degenerate quadric-surface intersections

Rida T. Farouki, C. Andrew Neff, M. A. O'Conner, 1989, TOGS.

Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains

Rida T. Farouki, Tim N. T. Goodman, Tomas Sauer, 2003, Comput. Aided Geom. Des..

Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems

Rida T. Farouki, Chang Yong Han, R. Farouki, 2007, Applicable Algebra in Engineering, Communication and Computing.

Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves

Francesca Pelosi, Rida T. Farouki, Maria Lucia Sampoli, 2021, J. Comput. Appl. Math..

Computing the roots of sparse high–degree polynomials that arise from the study of random simplicial complexes

Rida T. Farouki, Jeffrey A. Strom, 2019, Numerical Algorithms.

Surface Analysis Methods

Rida T. Farouki, James M. Beck, John K. Hinds, 1986, IEEE Computer Graphics and Applications.

Design of rational rotation-minimizing rigid body motions by Hermite interpolation

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2011, Math. Comput..

Spatial camera orientation control by rotation‐minimizing directed frames

Rida T. Farouki, Carlotta Giannelli, 2009, Comput. Animat. Virtual Worlds.

Shigley Hauler— A competitive project illustrating basic machine design principles

Rida T. Farouki, Barbara Linke, 2016 .

Topologically consistent trimmed surface approximations based on triangular patches

Rida T. Farouki, Thomas W. Sederberg, Joel Hass, 2004, Comput. Aided Geom. Des..

Singular Points of Algebraic Curves

Rida T. Farouki, Takis Sakkalis, T. Sakkalis, 1990, J. Symb. Comput..

Rational Pythagorean-hodograph space curves

Zbynek Sír, Rida T. Farouki, R. Farouki, 2011, Comput. Aided Geom. Des..

Bipolar and Multipolar Coordinates

Rida T. Farouki, Hwan Pyo Moon, R. Farouki, 2000, IMA Conference on the Mathematics of Surfaces.

Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2016, Adv. Comput. Math..

Algorithm 952

Rida T. Farouki, Bohan Dong, R. Farouki, 2015 .

Minkowski roots of complex sets

Rida T. Farouki, Hwan Pyo Moon, Weiqing Gu, 2000, Proceedings Geometric Modeling and Processing 2000. Theory and Applications.

G codes for the specification of Pythagorean-hodograph tool paths and associated feedrate functions on open-architecture CNC machines

Rida T. Farouki, Jairam Manjunathaiah, Guo-Feng Yuan, 1999 .

A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation

Rida T. Farouki, Christian Perwass, Lyle Noakes, 2007, Comput. Aided Geom. Des..

Construction of Bézier surface patches with Bézier curves as geodesic boundaries

Rida T. Farouki, Luc Biard, Nicolas Szafran, 2009, Comput. Aided Des..

Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2009, J. Symb. Comput..

Computational issues in solid boundary evaluation

Rida T. Farouki, R. Farouki, 1988, Inf. Sci..

Exact Minkowski Products of N Complex Disks

Helmut Pottmann, Rida T. Farouki, H. Pottmann, 2002, Reliab. Comput..

Construction of rational surface patches bounded by lines of curvature

Rida T. Farouki, Luc Biard, Nicolas Szafran, 2010, Comput. Aided Geom. Des..

Existence conditions for Coons patches interpolating geodesic boundary curves

Rida T. Farouki, Luc Biard, Nicolas Szafran, 2009, Comput. Aided Geom. Des..

Time-Optimal feedrates along Curved Paths for Cartesian CNC Machines with prescribed Bounds on Axis velocities and Accelerations

Rida T. Farouki, Sebastian D. Timar, Casey L. Boyadjieff, 2007, Int. J. Robotics Autom..

Physical constraints on feedrates, feed accelerations along curved tool paths

Rida T. Farouki, Yi-Feng Tsai, Curtis S. Wilson, 2000, Comput. Aided Geom. Des..

Geometry of the ringed surfaces in R4 that generate spatial Pythagorean hodographs

Rida T. Farouki, Robert Gutierrez, R. Farouki, 2016, J. Symb. Comput..

Design of C 2 Spatial Pythagorean-Hodograph Quintic Spline Curves by Control Polygons

Carla Manni, Francesca Pelosi, Rida T. Farouki, 2010, Curves and Surfaces.

Efficient Solution of the Complex Quadratic Tridiagonal System for C2 PH Quintic Splines

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2001, Numerical Algorithms.

Specified-Precision Computation of Curve/Curve Bisectors

Rida T. Farouki, Rajesh Ramamurthy, R. Farouki, 1998, Int. J. Comput. Geom. Appl..

On integrating lines of curvature

Rida T. Farouki, 1998, Comput. Aided Geom. Des..

Rational rotation-minimizing frames on polynomial space curves of arbitrary degree

Rida T. Farouki, Takis Sakkalis, 2010, J. Symb. Comput..

Minkowski Geometric Algebra and the Stability of Characteristic Polynomials

Rida T. Farouki, Hwan Pyo Moon, R. Farouki, 2002, VisMath.

Spatial camera orientation control by rotation-minimizing directed frames

Rida T. Farouki, Carlotta Giannelli, 2009 .

A real-time surface interpolator methodology for precision CNC machining of swept surfaces

Rida T. Farouki, Kevin M. Nittler, 2016 .

Structural invariance of spatial Pythagorean hodographs

Rida T. Farouki, Mohammad al-Kandari, Takis Sakkalis, 2002, Comput. Aided Geom. Des..

Experimental performance analysis of an inverse dynamics CNC compensation scheme for high-speed execution of curved toolpaths

Rida T. Farouki, Travis F. Schraeder, R. Farouki, 2014 .

Convergent inversion approximations for polynomials in Bernstein form

Rida T. Farouki, 1999, Comput. Aided Geom. Des..

Helical polynomial curves interpolating G1 data with prescribed axes and pitch angles

Rida T. Farouki, R. Farouki, 2017, Comput. Aided Geom. Des..

Computing the Minkowski Value of the Exponential Function over a Complex Disk

Rida T. Farouki, Hyeong In Choi, Hwan Pyo Moon, 2008, ASCM.

Contour machining of free-form surfaces with real-time PH curve CNC interpolators

Rida T. Farouki, Yi-Feng Tsai, Guo-Feng Yuan, 1999, Comput. Aided Geom. Des..

Real rational curves are not 'unit speed'

Rida T. Farouki, Takis Sakkalis, T. Sakkalis, 1991, Comput. Aided Geom. Des..

Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves

Rida T. Farouki, Joel Hass, Chang Yong Han, 2005, Numerical Algorithms.

Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves

Rida T. Farouki, R. Farouki, 2002, Graph. Model..

C1 and C2 interpolation of orientation data along spatial Pythagorean-hodograph curves using rational adapted spline frames

Rida T. Farouki, Hwan Pyo Moon, 2018, Comput. Aided Geom. Des..

High-speed cornering by CNC machines under prescribed bounds on axis accelerations and toolpath contour error

Rida T. Farouki, Charlie A. Ernesto, R. Farouki, 2012 .

Computation of optimal composite re-parameterizations

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2001, Comput. Aided Geom. Des..

Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves

Rida T. Farouki, David Nicholas, Jairam Manjunathaiah, 1998, Comput. Aided Des..

Analysis of the offset to a parabola

Rida T. Farouki, Thomas W. Sederberg, T. Sederberg, 1995, Computer Aided Geometric Design.

Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme

Rida T. Farouki, Thomas W. Sederberg, Xiaowen Song, 2007, Adv. Comput. Math..

Foreword to the Special Focus on Mathematics and Algorithms for CAM and CNC

Rida T. Farouki, Hongbo Li, Dingkang Wang, 2012, Math. Comput. Sci..

An interpolation scheme for designing rational rotation-minimizing camera motions

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2013, Adv. Comput. Math..

Quintic space curves with rational rotation-minimizing frames

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2009, Comput. Aided Geom. Des..

Algorithms for polynomials in Bernstein form

Rida T. Farouki, V. T. Rajan, R. Farouki, 1988, Comput. Aided Geom. Des..

Construction of periodic adapted orthonormal frames on closed space curves

Rida T. Farouki, Hwan Pyo Moon, Soo Hyun Kim, 2020, Comput. Aided Geom. Des..

Construction and shape analysis of PH quintic Hermite interpolants

Rida T. Farouki, Hyeong In Choi, Hwan Pyo Moon, 2001, Comput. Aided Geom. Des..

Computational Astrophysics on the Array Processor

Rida T. Farouki, Saul A. Teukolsky, Stuart L. Shapiro, 1983, Computer.

A real-time CNC interpolator algorithm for trimming and filling planar offset curves

Rida T. Farouki, Jyothirmai Srinathu, 2017, Comput. Aided Des..

Exact offset procedures for simple solids

Rida T. Farouki, R. Farouki, 1985, Comput. Aided Geom. Des..

Construction of G1 planar Hermite interpolants with prescribed arc lengths

Rida T. Farouki, R. Farouki, 2016, Comput. Aided Geom. Des..

Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3

Rida T. Farouki, Takis Sakkalis, T. Sakkalis, 2012, J. Comput. Appl. Math..

Solution of elementary equations in the Minkowski geometric algebra of complex sets

Rida T. Farouki, Chang Yong Han, R. Farouki, 2005, Adv. Comput. Math..

Existence of Pythagorean-hodograph quintic interpolants to spatial G1 Hermite data with prescribed arc lengths

Rida T. Farouki, 2019, J. Symb. Comput..

Pythagorean-hodograph curves and related topics

Carla Manni, Bert Jüttler, Rida T. Farouki, 2008, Comput. Aided Geom. Des..

Optimization of Corner Blending Curves

Francesca Pelosi, Rida T. Farouki, Maria Lucia Sampoli, 2019, Comput. Aided Des..

Algebraic properties of plane offset curves

Rida T. Farouki, C. Andrew Neff, C. A. Neff, 1990, Comput. Aided Geom. Des..

Approximation by interval Bezier curves

Rida T. Farouki, Thomas W. Sederberg, T. Sederberg, 1992, IEEE Computer Graphics and Applications.

Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable

Rida T. Farouki, R. Farouki, 2007, Geometry and Computing.

Linear perturbation methods for topologically consistent representations of free-form surface intersections

Rida T. Farouki, Thomas W. Sederberg, Jianmin Zheng, 2004, Comput. Aided Geom. Des..

Corrigendum to "Rational rotation-minimizing frames on polynomial space curves of arbitrary degree" [J. Symbolic Comput. 45(8) (2010) 844-856]

Rida T. Farouki, Takis Sakkalis, 2013, J. Symb. Comput..

Identification and "reverse engineering" of Pythagorean-hodograph curves

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2015, Comput. Aided Geom. Des..

Efficient high-speed cornering motions based on continuously-variable feedrates. II. Implementation and performance analysis

Rida T. Farouki, Kevin M. Nittler, 2017 .

Construction and smoothing of triangular Coons patches with geodesic boundary curves

Rida T. Farouki, Luc Biard, Nicolas Szafran, 2010, Comput. Aided Geom. Des..

Pythagorean-hodograph quintic transition curves of monotone curvature

Rida T. Farouki, R. Farouki, 1997, Comput. Aided Des..

On the optimal stability of the Bernstein basis

Rida T. Farouki, Tim N. T. Goodman, T. Goodman, 1996, Math. Comput..

Computing Point/Curve and Curve/Curve Bisectors

Rida T. Farouki, John K. Johnstone, 1992, IMA Conference on the Mathematics of Surfaces.

A control polygon scheme for design of planar C2 PH quintic spline curves

Carla Manni, Francesca Pelosi, Rida T. Farouki, 2007, Comput. Aided Geom. Des..

Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in Bernstein form

Rida T. Farouki, Yi-Feng Tsai, R. Farouki, 2001, TOMS.

Reduced difference polynomials and self-intersection computations

Rida T. Farouki, 2018, Appl. Math. Comput..

Algorithms for Minkowski products and implicitly‐defined complex sets

Bahram Ravani, Rida T. Farouki, Hwan Pyo Moon, 2000, Adv. Comput. Math..

Algebraically rectifiable parametric curves

Rida T. Farouki, Takis Sakkalis, T. Sakkalis, 1993, Comput. Aided Geom. Des..

Performance analysis of cross-coupled controllers for CNC machines based upon precise real-time contour error measurement

Rida T. Farouki, Mei Zhang, Charlie A. Ernesto, 2012 .

Performance analysis of CNC interpolators for time-dependent feedrates along PH curves

Rida T. Farouki, Bryan E. Feldman, Yi-Feng Tsai, 2001, Comput. Aided Geom. Des..

Pythagorean-Hodograph Curves

Rida T. Farouki, R. Farouki, 2002, Handbook of Computer Aided Geometric Design.

Rational rotation-minimizing frames - Recent advances and open problems

Rida T. Farouki, R. Farouki, 2016, Appl. Math. Comput..

A Hierarchy of Geometric Forms

Rida T. Farouki, John K. Hinds, R. Farouki, 1985, IEEE Computer Graphics and Applications.

Real-time CNC interpolators for Pythagorean-hodograph curves

Rida T. Farouki, Sagar Shah, R. Farouki, 1996, Comput. Aided Geom. Des..

Optimal tool orientation control for 5-axis CNC milling with ball-end cutters

Rida T. Farouki, Shiqiao Li, R. Farouki, 2013, Comput. Aided Geom. Des..

Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2008, MMCS.

The Bernstein polynomial basis: A centennial retrospective

Rida T. Farouki, R. Farouki, 2012, Comput. Aided Geom. Des..

Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves

Rida T. Farouki, R. Farouki, 2010, Adv. Comput. Math..

Conic Approximation of Conic Offsets

Rida T. Farouki, R. Farouki, 1997, J. Symb. Comput..

Minkowski products of unit quaternion sets

Rida T. Farouki, Hwan Pyo Moon, Graziano Gentili, 2019, Advances in Computational Mathematics.

Polynomial and Rational Pythagorean-Hodograph Curves Reconciled

Helmut Pottmann, Rida T. Farouki, H. Pottmann, 1994, IMA Conference on the Mathematics of Surfaces.

On the numerical condition of polynomials in Bernstein form

Rida T. Farouki, V. T. Rajan, R. Farouki, 1987, Comput. Aided Geom. Des..

Mapping rational rotation-minimizing frames from polynomial curves on to rational curves

Rida T. Farouki, Zbyněk Šír, 2020, Comput. Aided Geom. Des..

Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries

Rida T. Farouki, Rajesh Ramamurthy, R. Farouki, 1998, Comput. Aided Geom. Des..

Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2008, Comput. Aided Geom. Des..

Rotation—minimizing Frames

Rida T. Farouki, R. Farouki, 2008 .

Rational frames of minimal twist along space curves under specified boundary conditions

Rida T. Farouki, Hwan Pyo Moon, R. Farouki, 2018, Adv. Comput. Math..

Analytic properties of plane offset curves

Rida T. Farouki, C. Andrew Neff, C. A. Neff, 1990, Comput. Aided Geom. Des..

On the stability of transformations between power and Bernstein polynomial forms

Rida T. Farouki, R. Farouki, 1991, Comput. Aided Geom. Des..

A comprehensive characterization of the set of polynomial curves with rational rotation-minimizing frames

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2017, Adv. Comput. Math..

Rotation-minimizing osculating frames

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2014, Comput. Aided Geom. Des..

Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants

Rida T. Farouki, Takis Sakkalis, Chang Yong Han, 2013, Comput. Aided Geom. Des..

Computation of Minkowski Values of Polynomials over Complex Sets

Rida T. Farouki, Chang Yong Han, R. Farouki, 2004, Numerical Algorithms.

Suppression of chip load variations by real-time spindle speed modulation

Rida T. Farouki, Jyothirmai Srinathu, 2018 .

Inverse kinematics for optimal tool orientation control in 5-axis CNC machining

Rida T. Farouki, Chang Yong Han, Shiqiao Li, 2014, Comput. Aided Geom. Des..

The characterization of parametric surface sections

Rida T. Farouki, R. Farouki, 1986, Comput. Vis. Graph. Image Process..

Smoothing of Time-Optimal Feedrates for Cartesian CNC Machines

Rida T. Farouki, Sebastian D. Timar, Casey L. Boyadjieff, 2005, IMA Conference on the Mathematics of Surfaces.

Approximation of rolling-ball blends for free-form parametric surfaces

Rida T. Farouki, Ragnar Sverrisson, R. Farouki, 1996, Comput. Aided Des..

Solution of a quadratic quaternion equation with mixed coefficients

Rida T. Farouki, Alessandra Sestini, Carlotta Giannelli, 2015, J. Symb. Comput..

Spatial C2 closed loops of prescribed arc length defined by Pythagorean-hodograph curves

Vito Vitrih, Rida T. Farouki, Marjeta Knez, 2021, Appl. Math. Comput..

Construction of rational curves with rational arc lengths by direct integration

Rida T. Farouki, Takis Sakkalis, T. Sakkalis, 2019, Comput. Aided Geom. Des..

Construction of G2 rounded corners with Pythagorean-hodograph curves

Rida T. Farouki, R. Farouki, 2014, Comput. Aided Geom. Des..

On the numerical condition of algebraic curves and surfaces 1. Implicit equations

Rida T. Farouki, V. T. Rajan, R. Farouki, 1988, Comput. Aided Geom. Des..

The conformal map z -> z2 of the hodograph plane

Rida T. Farouki, R. Farouki, 1994, Comput. Aided Geom. Des..

Corrigendum to: 'Linear perturbation methods for topologically consistent representations of free-form surface intersections': Computer Aided Geometric Design 21 (2004) 303-319

Rida T. Farouki, Thomas W. Sederberg, Jianmin Zheng, 2004, Comput. Aided Geom. Des..

Topological Criterion for Selection of Quintic Pythagorean – Hodograph Hermite Interpolants ∗

Rida T. Farouki, Hyeong In Choi, Hwan Pyo Moon, 2006 .

Computational methods for rapid prototyping of analytic solid models

Rida T. Farouki, Thomas König, R. Farouki, 1996 .

Singular cases of planar and spatial C1 Hermite interpolation problems based on quintic Pythagorean-hodograph curves

Rida T. Farouki, Kai Hormann, Federico Nudo, 2020, Comput. Aided Geom. Des..

Construction ofC2 Pythagorean-hodograph interpolating splines by the homotopy method

Rida T. Farouki, Gudrun Albrecht, R. Farouki, 1996, Adv. Comput. Math..

Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves

Rida T. Farouki, Takis Sakkalis, 2011, Comput. Aided Geom. Des..

Real-time CNC interpolators for Bézier conics

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2001, Comput. Aided Geom. Des..

Numerical Stability in Geometric Algorithms and Representations

Rida T. Farouki, 1988, IMA Conference on the Mathematics of Surfaces.

Hermite Interpolation by Rotation-Invariant Spatial Pythagorean-Hodograph Curves

Rida T. Farouki, Mohammad al-Kandari, Takis Sakkalis, 2002, Adv. Comput. Math..

Feedrate modulation for accurate traversal of trimmed planar offset paths

Rida T. Farouki, Jyothirmai Srinathu, 2018 .

C2 interpolation of spatial data subject to arc-length constraints using Pythagorean-hodograph quintic splines

Nathalie Sprynski, Rida T. Farouki, Luc Biard, 2014, Graph. Model..

Real-time needle guidance for venipuncture based on optical coherence tomography

Rida T. Farouki, David B. Smith, Jack R. Swett, 2021, Comput. methods Biomech. Biomed. Eng. Imaging Vis..

Accurate Real-time CNC Curve Interpolators Based Upon Richardson Extrapolation

Rida T. Farouki, R. Farouki, 2021, Comput. Aided Des..

Planar projections of spatial Pythagorean-hodograph curves

Vito Vitrih, Rida T. Farouki, Marjeta Knez, 2021, Comput. Aided Geom. Des..

Computer simulations of environmental influences on galaxy evolution in dense clusters. I. Ram-pressure stripping

Rida T. Farouki, Stuart Louis Shapiro, S. Shapiro, 1980 .

Tensor-product surface patches with Pythagorean-hodograph isoparametric curves

Francesca Pelosi, Rida T. Farouki, Alessandra Sestini, 2016 .

Robust plotting of generalized lemniscates

Rida T. Farouki, Chang Yong Han, R. Farouki, 2004 .

Spatial C^2 PH quintic splines

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2003 .

Analysis of the offset to a parabola

Rida T. Farouki, Thomas W. Sederberg, T. Sederberg, 1995, Comput. Aided Geom. Des..

Solution of inverse dynamics problems for contour error minimization in CNC machines

Rida T. Farouki, Charlie A. Ernesto, R. Farouki, 2010 .

Graphical methods for surface differential geometry

Rida T. Farouki, 1987 .

Computer simulations of environmental influences on galaxy evolution in dense clusters. II. rapid tidal encounters

Rida T. Farouki, Stuart Louis Shapiro, S. Shapiro, 1981 .

Time-optimal traversal of curved paths by Cartesian CNC machines under both constant and speed-dependent axis acceleration bounds

Rida T. Farouki, Sebastian D. Timar, R. Farouki, 2007 .

Curves and surfaces in geometrical optics

Rida T. Farouki, R. Farouki, Jean-Claude Chastang, 1992 .

Simulations of merging disk galaxies

Rida T. Farouki, Stuart Louis Shapiro, S. Shapiro, 1982 .

Efficient high-speed cornering motions based on continuously-variable feedrates. I. Real-time interpolator algorithms

Rida T. Farouki, Kevin M. Nittler, R. Farouki, 2016 .

Characterization and construction of helical polynomial space curves

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2004 .

The Bernstein Basis

Rida T. Farouki, R. Farouki, 2008 .

Experimental study of contouring accuracy for CNC machines executing curved paths with constant and curvature-dependent feedrates

Rida T. Farouki, Charlie A. Ernesto, Jeremy R. Conway, 2013 .

Hierarchical merging and the structure of elliptical galaxies

Rida T. Farouki, Stuart Louis Shapiro, S. Shapiro, 1983 .

Minkowski Pythagorean Hodographs

Rida T. Farouki, 2008 .

Approximation by Interval

Rida T. Farouki, Thomas W. Sederberg, T. Sederberg, 1992 .

Algorithms for time-optimal control of CNC machines along curved tool paths

Rida T. Farouki, Tait S. Smith, Sebastian D. Timar, 2005 .

Non-existence of rational arc length parameterizations for curves in Rn

Rida T. Farouki, Takis Sakkalis, T. Sakkalis, 2009 .

A shock‐tracking algorithm for surface evolution under reactive‐ion etching

Rida T. Farouki, Satoshi Hamaguchi, M. Dalvie, 1993 .

Exact equations of simple wavefronts

Rida T. Farouki, R. Farouki, Jean-Claude Chastang, 1992 .

Equilibrium configuration of a bounded inextensible membrane subject to solar radiation pressure

Rida T. Farouki, Fidelis O. Eke, R. Farouki, 2017 .

Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2015 .

On the numerical condition of Bernstein-Bézier subdivision processes

Rida T. Farouki, C. A. Neff, R. Farouki, 1990 .

Computing with barycentric polynomials

Rida T. Farouki, R. Farouki, 1991 .

Legendre-Bernstein basis transformations

Rida T. Farouki, R. Farouki, 2000 .

Rotation – minimizing conformal frames

Rida T. Farouki, Maria Lucia Sampoli, 2013 .

Shape‐preserving interpolation by G1 and G2 PH quintic splines

Carla Manni, Rida T. Farouki, Alessandra Sestini, 2003 .

Rational space curves are not "unit speed"

Rida T. Farouki, Takis Sakkalis, 2007, Comput. Aided Geom. Des..

ALGORITHMS FOR SPATIAL PYTHAGOREAN-HODOGRAPH CURVES

Rida T. Farouki, Chang Yong Han, R. Farouki, 2022 .