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Rida T. Farouki: [Publications] [Author Rank by year] [Co-authors] [Prefers] [Cites] [Cited by]

Publications of Author

  1. Rida T. Farouki, Weiqing Gu, Hwan Pyo Moon
    Minkowski Roots of Complex Sets. [Citation Graph (0, 0)][DBLP]
    GMP, 2000, pp:287-300 [Conf]
  2. Casey L. Boyadjieff, Rida T. Farouki, Sebastian D. Timar
    Smoothing of Time-Optimal Feedrates for Cartesian CNC Machines. [Citation Graph (0, 0)][DBLP]
    IMA Conference on the Mathematics of Surfaces, 2005, pp:84-101 [Conf]
  3. Rida T. Farouki
    Numerical Stability in Geometric Algorithms and Representations. [Citation Graph (0, 0)][DBLP]
    IMA Conference on the Mathematics of Surfaces, 1988, pp:83-113 [Conf]
  4. Rida T. Farouki, John K. Johnstone
    Computing Point/Curve and Curve/Curve Bisectors. [Citation Graph (0, 0)][DBLP]
    IMA Conference on the Mathematics of Surfaces, 1992, pp:327-354 [Conf]
  5. Rida T. Farouki, Hwan Pyo Moon
    Bipolar and Multipolar Coordinates. [Citation Graph (0, 0)][DBLP]
    IMA Conference on the Mathematics of Surfaces, 2000, pp:348-371 [Conf]
  6. Rida T. Farouki, Helmut Pottmann
    Polynomial and Rational Pythagorean-Hodograph Curves Reconciled. [Citation Graph (0, 0)][DBLP]
    IMA Conference on the Mathematics of Surfaces, 1994, pp:355-378 [Conf]
  7. Rida T. Farouki, Chang Yong Han
    Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems. [Citation Graph (0, 0)][DBLP]
    Appl. Algebra Eng. Commun. Comput., 2007, v:18, n:1-2, pp:169-189 [Journal]
  8. Rida T. Farouki, Chang Yong Han
    Solution of elementary equations in the Minkowski geometric algebra of complex sets. [Citation Graph (0, 0)][DBLP]
    Adv. Comput. Math., 2005, v:22, n:4, pp:301-323 [Journal]
  9. Francesca Pelosi, Rida T. Farouki, Carla Manni, Alessandra Sestini
    Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics. [Citation Graph (0, 0)][DBLP]
    Adv. Comput. Math., 2005, v:22, n:4, pp:325-352 [Journal]
  10. Rida T. Farouki
    Pythagorean-hodograph quintic transition curves of monotone curvature. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 1997, v:29, n:9, pp:601-606 [Journal]
  11. Rida T. Farouki, Jairam Manjunathaiah, David Nicholas, Guo-Feng Yuan, Sungchul Jee
    Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 1998, v:30, n:8, pp:631-640 [Journal]
  12. Rida T. Farouki, Ragnar Sverrisson
    Approximation of rolling-ball blends for free-form parametric surfaces. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 1996, v:28, n:11, pp:871-878 [Journal]
  13. Rida T. Farouki, Yi-Feng Tsai
    Exact Taylor series coefficients for variable-feedrate CNC curve interpolators. [Citation Graph (0, 0)][DBLP]
    Computer-Aided Design, 2001, v:33, n:2, pp:155-165 [Journal]
  14. Paolo Costantini, Rida T. Farouki, Carla Manni, Alessandra Sestini
    Computation of optimal composite re-parameterizations. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2001, v:18, n:9, pp:875-897 [Journal]
  15. Rida T. Farouki
    The approximation of non-degenerate offset surfaces. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1986, v:3, n:1, pp:15-43 [Journal]
  16. Rida T. Farouki
    On the stability of transformations between power and Bernstein polynomial forms. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1991, v:8, n:1, pp:29-36 [Journal]
  17. Rida T. Farouki
    The conformal map z -> z2 of the hodograph plane. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1994, v:11, n:4, pp:363-390 [Journal]
  18. Rida T. Farouki
    The elastic bending energy of Pythagorean-hodograph curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1996, v:13, n:3, pp:227-241 [Journal]
  19. Rida T. Farouki
    Optimal parameterizations. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1997, v:14, n:2, pp:153-168 [Journal]
  20. Rida T. Farouki
    On integrating lines of curvature. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1998, v:15, n:2, pp:187-192 [Journal]
  21. Rida T. Farouki
    Convergent inversion approximations for polynomials in Bernstein form. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1999, v:17, n:2, pp:179-196 [Journal]
  22. Rida T. Farouki, Tim N. T. Goodman, Tomas Sauer
    Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2003, v:20, n:4, pp:209-230 [Journal]
  23. Rida T. Farouki, Chang Yong Han
    Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2003, v:20, n:7, pp:435-454 [Journal]
  24. Rida T. Farouki, Chang Yong Han, Joel Hass, Thomas W. Sederberg
    Topologically consistent trimmed surface approximations based on triangular patches. [Citation Graph (0, 0)][DBLP]
    , 2004, v:, n:, pp:459-478 [Journal]
  25. Rida T. Farouki, John K. Johnstone
    The bisector of a point and a plane parametric curve. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1994, v:11, n:2, pp:117-151 [Journal]
  26. Rida T. Farouki, Carla Manni, Alessandra Sestini
    Real-time CNC interpolators for Bézier conics. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2001, v:18, n:7, pp:639-655 [Journal]
  27. Rida T. Farouki, C. Andrew Neff
    Analytic properties of plane offset curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1990, v:7, n:1-4, pp:83-99 [Journal]
  28. Rida T. Farouki, C. Andrew Neff
    Algebraic properties of plane offset curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1990, v:7, n:1-4, pp:101-127 [Journal]
  29. Rida T. Farouki, V. T. Rajan
    On the numerical condition of polynomials in Bernstein form. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1987, v:4, n:3, pp:191-216 [Journal]
  30. Rida T. Farouki, V. T. Rajan
    Algorithms for polynomials in Bernstein form. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1988, v:5, n:1, pp:1-26 [Journal]
  31. Rida T. Farouki, V. T. Rajan
    On the numerical condition of algebraic curves and surfaces 1. Implicit equations. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1988, v:5, n:3, pp:215-252 [Journal]
  32. Rida T. Farouki, Rajesh Ramamurthy
    Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1998, v:15, n:6, pp:615-635 [Journal]
  33. Rida T. Farouki, Takis Sakkalis
    Real rational curves are not `unit speed'. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1991, v:8, n:2, pp:151-157 [Journal]
  34. Rida T. Farouki, Thomas W. Sederberg
    Analysis of the offset to a parabola. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1995, v:12, n:6, pp:639-645 [Journal]
  35. Rida T. Farouki, Sagar Shah
    Real-time CNC interpolators for Pythagorean-hodograph curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1996, v:13, n:7, pp:583-600 [Journal]
  36. Rida T. Farouki, Yi-Feng Tsai, Curtis S. Wilson
    Physical constraints on feedrates, feed accelerations along curved tool paths. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2000, v:17, n:4, pp:337-359 [Journal]
  37. Rida T. Farouki, Yi-Feng Tsai, Guo-Feng Yuan
    Contour machining of free-form surfaces with real-time PH curve CNC interpolators. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1999, v:16, n:1, pp:61-76 [Journal]
  38. Rida T. Farouki, Mohammad al-Kandari, Takis Sakkalis
    Structural invariance of spatial Pythagorean hodographs. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2002, v:19, n:6, pp:395-407 [Journal]
  39. Hwan Pyo Moon, Rida T. Farouki, Hyeong In Choi
    Construction and shape analysis of PH quintic Hermite interpolants. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2001, v:18, n:2, pp:93-115 [Journal]
  40. Takis Sakkalis, Rida T. Farouki
    Algebraically rectifiable parametric curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 1993, v:10, n:6, pp:551-569 [Journal]
  41. Tait S. Smith, Rida T. Farouki
    Gauss map computation for free-form surfaces. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2001, v:18, n:9, pp:831-850 [Journal]
  42. Tait S. Smith, Rida T. Farouki, Mohammad al-Kandari, Helmut Pottmann
    Optimal slicing of free-form surfaces. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2002, v:19, n:1, pp:43-64 [Journal]
  43. Xiaowen Song, Thomas W. Sederberg, Jianmin Zheng, Rida T. Farouki, Joel Hass
    Linear perturbation methods for topologically consistent representations of free-form surface intersections. [Citation Graph (0, 0)][DBLP]
    , 2004, v:, n:, pp:303-319 [Journal]
  44. 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. [Citation Graph (0, 0)][DBLP]
    , 2004, v:, n:, pp:321- [Journal]
  45. Yi-Feng Tsai, Rida T. Farouki, Bryan Feldman
    Performance analysis of CNC interpolators for time-dependent feedrates along PH curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2001, v:18, n:3, pp:245-265 [Journal]
  46. Christian Perwass, Rida T. Farouki, Lyle Noakes
    A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2007, v:24, n:4, pp:220-237 [Journal]
  47. Francesca Pelosi, Maria Lucia Sampoli, Rida T. Farouki, Carla Manni
    A control polygon scheme for design of planar C2 PH quintic spline curves. [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2007, v:24, n:1, pp:28-52 [Journal]
  48. Rida T. Farouki, Takis Sakkalis
    Rational space curves are not "unit speed". [Citation Graph (0, 0)][DBLP]
    Computer Aided Geometric Design, 2007, v:24, n:4, pp:238-240 [Journal]
  49. Rida T. Farouki
    Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves. [Citation Graph (0, 0)][DBLP]
    Graphical Models, 2002, v:64, n:6, pp:382-395 [Journal]
  50. Rida T. Farouki
    The characterization of parametric surface sections. [Citation Graph (0, 0)][DBLP]
    Computer Vision, Graphics, and Image Processing, 1986, v:33, n:2, pp:209-236 [Journal]
  51. Rida T. Farouki, Rajesh Ramamurthy
    Specified-Precision Computation of Curve/Curve Bisectors. [Citation Graph (0, 0)][DBLP]
    Int. J. Comput. Geometry Appl., 1998, v:8, n:5/6, pp:599-619 [Journal]
  52. A. Kaul, Rida T. Farouki
    Computing Minkowski sums of plane curves. [Citation Graph (0, 0)][DBLP]
    Int. J. Comput. Geometry Appl., 1995, v:5, n:4, pp:413-432 [Journal]
  53. Rida T. Farouki
    Computational issues in solid boundary evaluation. [Citation Graph (0, 0)][DBLP]
    Inf. Sci., 1988, v:44, n:2, pp:87-171 [Journal]
  54. Rida T. Farouki
    Conic Approximation of Conic Offsets. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1997, v:23, n:2/3, pp:301-313 [Journal]
  55. Takis Sakkalis, Rida T. Farouki
    Singular Points of Algebraic Curves. [Citation Graph (0, 0)][DBLP]
    J. Symb. Comput., 1990, v:9, n:4, pp:405-421 [Journal]
  56. Rida T. Farouki, Tim N. T. Goodman
    On the optimal stability of the Bernstein basis. [Citation Graph (0, 0)][DBLP]
    Math. Comput., 1996, v:65, n:216, pp:1553-1566 [Journal]
  57. Rida T. Farouki, Helmut Pottmann
    Exact Minkowski Products of N Complex Disks. [Citation Graph (0, 0)][DBLP]
    Reliable Computing, 2002, v:8, n:1, pp:43-66 [Journal]
  58. Rida T. Farouki, C. Andrew Neff, M. A. O'Conner
    Automatic parsing of degenerate quadric-surface intersections. [Citation Graph (0, 0)][DBLP]
    ACM Trans. Graph., 1989, v:8, n:3, pp:174-203 [Journal]
  59. Yi-Feng Tsai, Rida T. Farouki
    Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in Bernstein form. [Citation Graph (0, 0)][DBLP]
    ACM Trans. Math. Softw., 2001, v:27, n:2, pp:267-296 [Journal]
  60. 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. [Citation Graph (0, 0)][DBLP]
    Adv. Comput. Math., 2007, v:27, n:1, pp:1-26 [Journal]

  61. Computing the Minkowski Value of the Exponential Function over a Complex Disk. [Citation Graph (, )][DBLP]


  62. Geometric Design Using Space Curves with Rational Rotation-Minimizing Frames. [Citation Graph (, )][DBLP]


  63. Construction ofC2 Pythagorean-hodograph interpolating splines by the homotopy method. [Citation Graph (, )][DBLP]


  64. Pythagorean-hodograph space curves. [Citation Graph (, )][DBLP]


  65. Algorithms for Minkowski products and implicitly-defined complex sets. [Citation Graph (, )][DBLP]


  66. Hermite Interpolation by Rotation-Invariant Spatial Pythagorean-Hodograph Curves. [Citation Graph (, )][DBLP]


  67. Construction of Bézier surface patches with Bézier curves as geodesic boundaries. [Citation Graph (, )][DBLP]


  68. Existence conditions for Coons patches interpolating geodesic boundary curves. [Citation Graph (, )][DBLP]


  69. Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures. [Citation Graph (, )][DBLP]


  70. Pythagorean-hodograph curves and related topics. [Citation Graph (, )][DBLP]


  71. Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants. [Citation Graph (, )][DBLP]


  72. Quintic space curves with rational rotation-minimizing frames. [Citation Graph (, )][DBLP]


  73. Construction of rational surface patches bounded by lines of curvature. [Citation Graph (, )][DBLP]


  74. Construction and smoothing of triangular Coons patches with geodesic boundary curves. [Citation Graph (, )][DBLP]


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