 | 2009 |
|---|
| 71 |       | 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): 161-179 (2009) |
| 70 | | 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): 307-332 (2009) |
| 69 | | Rida T. Farouki,
Carlotta Giannelli:
Spatial camera orientation control by rotation-minimizing directed frames.
Journal of Visualization and Computer Animation 20(4): 457-472 (2009) |
| 2008 |
|---|
| 68 | | Rida T. Farouki,
Bert Jüttler,
Carla Manni:
Pythagorean-hodograph curves and related topics.
Computer Aided Geometric Design 25(4-5): 203-204 (2008) |
| 67 | | Rida T. Farouki,
Carlotta Giannelli,
Carla Manni,
Alessandra Sestini:
Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures.
Computer Aided Geometric Design 25(4-5): 274-297 (2008) |
| 66 | | Hyeong In Choi,
Rida T. Farouki,
Song-Hwa Kwon,
Hwan Pyo Moon:
Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants.
Computer Aided Geometric Design 25(6): 411-433 (2008) |
| 2007 |
|---|
| 65 | | 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: 1-21 |
| 64 | | 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): 1-26 (2007) |
| 63 | | Rida T. Farouki,
Chang Yong Han:
Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems.
Appl. Algebra Eng. Commun. Comput. 18(1-2): 169-189 (2007) |
| 62 | | Francesca Pelosi,
Maria Lucia Sampoli,
Rida T. Farouki,
Carla Manni:
A control polygon scheme for design of planar C2 PH quintic spline curves.
Computer Aided Geometric Design 24(1): 28-52 (2007) |
| 61 | | Christian Perwass,
Rida T. Farouki,
Lyle Noakes:
A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation.
Computer Aided Geometric Design 24(4): 220-237 (2007) |
| 60 | | Rida T. Farouki,
Takis Sakkalis:
Rational space curves are not "unit speed".
Computer Aided Geometric Design 24(4): 238-240 (2007) |
| 2005 |
|---|
| 59 | | 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: 84-101 |
| 58 | | Rida T. Farouki,
Chang Yong Han:
Solution of elementary equations in the Minkowski geometric algebra of complex sets.
Adv. Comput. Math. 22(4): 301-323 (2005) |
| 57 | | Francesca Pelosi,
Rida T. Farouki,
Carla Manni,
Alessandra Sestini:
Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics.
Adv. Comput. Math. 22(4): 325-352 (2005) |
| 2004 |
|---|
| 56 | | Xiaowen Song,
Thomas W. Sederberg,
Jianmin Zheng,
Rida T. Farouki,
Joel Hass:
Linear perturbation methods for topologically consistent representations of free-form surface intersections.
Computer Aided Geometric Design 2004: 303-319 |
| 55 | | 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.
Computer Aided Geometric Design 2004: 321 |
| 54 | | Rida T. Farouki,
Chang Yong Han,
Joel Hass,
Thomas W. Sederberg:
Topologically consistent trimmed surface approximations based on triangular patches.
Computer Aided Geometric Design 2004: 459-478 |
| 2003 |
|---|
| 53 | | Rida T. Farouki,
Tim N. T. Goodman,
Tomas Sauer:
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains.
Computer Aided Geometric Design 20(4): 209-230 (2003) |
| 52 | | Rida T. Farouki,
Chang Yong Han:
Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves.
Computer Aided Geometric Design 20(7): 435-454 (2003) |
| 2002 |
|---|
| 51 | | Rida T. Farouki,
Mohammad al-Kandari,
Takis Sakkalis:
Hermite Interpolation by Rotation-Invariant Spatial Pythagorean-Hodograph Curves.
Adv. Comput. Math. 17(4): 369-383 (2002) |
| 50 | | Tait S. Smith,
Rida T. Farouki,
Mohammad al-Kandari,
Helmut Pottmann:
Optimal slicing of free-form surfaces.
Computer Aided Geometric Design 19(1): 43-64 (2002) |
| 49 | | Rida T. Farouki,
Mohammad al-Kandari,
Takis Sakkalis:
Structural invariance of spatial Pythagorean hodographs.
Computer Aided Geometric Design 19(6): 395-407 (2002) |
| 48 | | Rida T. Farouki:
Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves.
Graphical Models 64(6): 382-395 (2002) |
| 47 | | Rida T. Farouki,
Helmut Pottmann:
Exact Minkowski Products of N Complex Disks.
Reliable Computing 8(1): 43-66 (2002) |
| 2001 |
|---|
| 46 | | 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): 267-296 (2001) |
| 45 | | Hwan Pyo Moon,
Rida T. Farouki,
Hyeong In Choi:
Construction and shape analysis of PH quintic Hermite interpolants.
Computer Aided Geometric Design 18(2): 93-115 (2001) |
| 44 | | Yi-Feng Tsai,
Rida T. Farouki,
Bryan Feldman:
Performance analysis of CNC interpolators for time-dependent feedrates along PH curves.
Computer Aided Geometric Design 18(3): 245-265 (2001) |
| 43 | | Rida T. Farouki,
Carla Manni,
Alessandra Sestini:
Real-time CNC interpolators for Bézier conics.
Computer Aided Geometric Design 18(7): 639-655 (2001) |
| 42 | | Tait S. Smith,
Rida T. Farouki:
Gauss map computation for free-form surfaces.
Computer Aided Geometric Design 18(9): 831-850 (2001) |
| 41 | | Paolo Costantini,
Rida T. Farouki,
Carla Manni,
Alessandra Sestini:
Computation of optimal composite re-parameterizations.
Computer Aided Geometric Design 18(9): 875-897 (2001) |
| 40 | | Rida T. Farouki,
Yi-Feng Tsai:
Exact Taylor series coefficients for variable-feedrate CNC curve interpolators.
Computer-Aided Design 33(2): 155-165 (2001) |
| 2000 |
|---|
| 39 | | Rida T. Farouki,
Weiqing Gu,
Hwan Pyo Moon:
Minkowski Roots of Complex Sets.
GMP 2000: 287-300 |
| 38 |  | Rida T. Farouki,
Hwan Pyo Moon:
Bipolar and Multipolar Coordinates.
IMA Conference on the Mathematics of Surfaces 2000: 348-371 |
| 37 | | Rida T. Farouki,
Hwan Pyo Moon,
Bahram Ravani:
Algorithms for Minkowski products and implicitly-defined complex sets.
Adv. Comput. Math. 13(3): 199-229 (2000) |
| 36 | | Rida T. Farouki,
Yi-Feng Tsai,
Curtis S. Wilson:
Physical constraints on feedrates, feed accelerations along curved tool paths.
Computer Aided Geometric Design 17(4): 337-359 (2000) |
| 1999 |
|---|
| 35 | | Rida T. Farouki,
Yi-Feng Tsai,
Guo-Feng Yuan:
Contour machining of free-form surfaces with real-time PH curve CNC interpolators.
Computer Aided Geometric Design 16(1): 61-76 (1999) |
| 34 | | Rida T. Farouki:
Convergent inversion approximations for polynomials in Bernstein form.
Computer Aided Geometric Design 17(2): 179-196 (1999) |
| 1998 |
|---|
| 33 | | Rida T. Farouki:
On integrating lines of curvature.
Computer Aided Geometric Design 15(2): 187-192 (1998) |
| 32 | | Rida T. Farouki,
Rajesh Ramamurthy:
Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries.
Computer Aided Geometric Design 15(6): 615-635 (1998) |
| 31 | | 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.
Computer-Aided Design 30(8): 631-640 (1998) |
| 30 | | Rida T. Farouki,
Rajesh Ramamurthy:
Specified-Precision Computation of Curve/Curve Bisectors.
Int. J. Comput. Geometry Appl. 8(5/6): 599-619 (1998) |
| 1997 |
|---|
| 29 | | Rida T. Farouki:
Optimal parameterizations.
Computer Aided Geometric Design 14(2): 153-168 (1997) |
| 28 | | Rida T. Farouki:
Pythagorean-hodograph quintic transition curves of monotone curvature.
Computer-Aided Design 29(9): 601-606 (1997) |
| 27 | | Rida T. Farouki:
Conic Approximation of Conic Offsets.
J. Symb. Comput. 23(2/3): 301-313 (1997) |
| 1996 |
|---|
| 26 | | Gudrun Albrecht,
Rida T. Farouki:
Construction ofC2 Pythagorean-hodograph interpolating splines by the homotopy method.
Adv. Comput. Math. 5(1): 417-442 (1996) |
| 25 | | Rida T. Farouki:
The elastic bending energy of Pythagorean-hodograph curves.
Computer Aided Geometric Design 13(3): 227-241 (1996) |
| 24 | | Rida T. Farouki,
Sagar Shah:
Real-time CNC interpolators for Pythagorean-hodograph curves.
Computer Aided Geometric Design 13(7): 583-600 (1996) |
| 23 | | Rida T. Farouki,
Ragnar Sverrisson:
Approximation of rolling-ball blends for free-form parametric surfaces.
Computer-Aided Design 28(11): 871-878 (1996) |
| 22 | | Rida T. Farouki,
Tim N. T. Goodman:
On the optimal stability of the Bernstein basis.
Math. Comput. 65(216): 1553-1566 (1996) |
| 1995 |
|---|
| 21 | | Rida T. Farouki,
Thomas W. Sederberg:
Analysis of the offset to a parabola.
Computer Aided Geometric Design 12(6): 639-645 (1995) |
| 20 | | A. Kaul,
Rida T. Farouki:
Computing Minkowski sums of plane curves.
Int. J. Comput. Geometry Appl. 5(4): 413-432 (1995) |
| 1994 |
|---|
| 19 | | Rida T. Farouki,
Helmut Pottmann:
Polynomial and Rational Pythagorean-Hodograph Curves Reconciled.
IMA Conference on the Mathematics of Surfaces 1994: 355-378 |
| 18 | | Rida T. Farouki,
Takis Sakkalis:
Pythagorean-hodograph space curves.
Adv. Comput. Math. 2(1): 41-66 (1994) |
| 17 | | Rida T. Farouki,
John K. Johnstone:
The bisector of a point and a plane parametric curve.
Computer Aided Geometric Design 11(2): 117-151 (1994) |
| 16 | | Rida T. Farouki:
The conformal map z -> z2 of the hodograph plane.
Computer Aided Geometric Design 11(4): 363-390 (1994) |
| 1993 |
|---|
| 15 | | Takis Sakkalis,
Rida T. Farouki:
Algebraically rectifiable parametric curves.
Computer Aided Geometric Design 10(6): 551-569 (1993) |
| 1992 |
|---|
| 14 | | Rida T. Farouki,
John K. Johnstone:
Computing Point/Curve and Curve/Curve Bisectors.
IMA Conference on the Mathematics of Surfaces 1992: 327-354 |
| 1991 |
|---|
| 13 | | Rida T. Farouki:
On the stability of transformations between power and Bernstein polynomial forms.
Computer Aided Geometric Design 8(1): 29-36 (1991) |
| 12 | | Rida T. Farouki,
Takis Sakkalis:
Real rational curves are not `unit speed'.
Computer Aided Geometric Design 8(2): 151-157 (1991) |
| 1990 |
|---|
| 11 | | Rida T. Farouki,
C. Andrew Neff:
Algebraic properties of plane offset curves.
Computer Aided Geometric Design 7(1-4): 101-127 (1990) |
| 10 | | Rida T. Farouki,
C. Andrew Neff:
Analytic properties of plane offset curves.
Computer Aided Geometric Design 7(1-4): 83-99 (1990) |
| 9 | | Takis Sakkalis,
Rida T. Farouki:
Singular Points of Algebraic Curves.
J. Symb. Comput. 9(4): 405-421 (1990) |
| 1989 |
|---|
| 8 | | Rida T. Farouki,
C. Andrew Neff,
M. A. O'Conner:
Automatic parsing of degenerate quadric-surface intersections.
ACM Trans. Graph. 8(3): 174-203 (1989) |
| 1988 |
|---|
| 7 | | Rida T. Farouki:
Numerical Stability in Geometric Algorithms and Representations.
IMA Conference on the Mathematics of Surfaces 1988: 83-113 |
| 6 | | Rida T. Farouki,
V. T. Rajan:
Algorithms for polynomials in Bernstein form.
Computer Aided Geometric Design 5(1): 1-26 (1988) |
| 5 | | Rida T. Farouki,
V. T. Rajan:
On the numerical condition of algebraic curves and surfaces 1. Implicit equations.
Computer Aided Geometric Design 5(3): 215-252 (1988) |
| 4 | | Rida T. Farouki:
Computational issues in solid boundary evaluation.
Inf. Sci. 44(2): 87-171 (1988) |
| 1987 |
|---|
| 3 | | Rida T. Farouki,
V. T. Rajan:
On the numerical condition of polynomials in Bernstein form.
Computer Aided Geometric Design 4(3): 191-216 (1987) |
| 1986 |
|---|
| 2 | | Rida T. Farouki:
The approximation of non-degenerate offset surfaces.
Computer Aided Geometric Design 3(1): 15-43 (1986) |
| 1 | | Rida T. Farouki:
The characterization of parametric surface sections.
Computer Vision, Graphics, and Image Processing 33(2): 209-236 (1986) |
