Rida Farouki - Publications

Affiliations: 
University of California, Davis, Davis, CA 
Area:
Mechanical Engineering, Computer Science, Mathematics

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Year Citation  Score
2016 Farouki RT, Gentili G, Giannelli C, Sestini A, Stoppato C. Solution of a quadratic quaternion equation with mixed coefficients Journal of Symbolic Computation. 74: 140-151. DOI: 10.1016/j.jsc.2015.06.007  1
2016 Farouki RT, Gutierrez R. Geometry of the ringed surfaces in R4 that generate spatial Pythagorean hodographs Journal of Symbolic Computation. 73: 87-103. DOI: 10.1016/j.jsc.2015.03.005  1
2016 Farouki RT. Construction of G1 planar Hermite interpolants with prescribed arc lengths Computer Aided Geometric Design. DOI: 10.1016/j.cagd.2016.05.003  1
2016 Farouki RT. Rational rotation-minimizing frames - Recent advances and open problems Applied Mathematics and Computation. 272: 80-91. DOI: 10.1016/j.amc.2015.04.122  1
2016 Farouki RT, Giannelli C, Sestini A. Local modification of Pythagorean-hodograph quintic spline curves using the B-spline form Advances in Computational Mathematics. 42: 199-225. DOI: 10.1007/s10444-015-9419-y  1
2016 Nittler KM, Farouki RT. Efficient high-speed cornering motions based on continuously-variable feedrates. II. Implementation and performance analysis International Journal of Advanced Manufacturing Technology. 1-16. DOI: 10.1007/s00170-016-8741-y  1
2016 Farouki RT, Nittler KM. Efficient high-speed cornering motions based on continuously-variable feedrates. I. Real-time interpolator algorithms International Journal of Advanced Manufacturing Technology. 1-12. DOI: 10.1007/s00170-016-8740-z  1
2016 Nittler KM, Farouki RT. A real-time surface interpolator methodology for precision CNC machining of swept surfaces International Journal of Advanced Manufacturing Technology. 83: 561-574. DOI: 10.1007/s00170-015-7552-x  1
2015 Dong B, Farouki RT. Algorithm 952: PHquintic: A library of basic functions for the construction and analysis of planar quintic pythagorean-hodograph curves Acm Transactions On Mathematical Software. 41. DOI: 10.1145/2699467  1
2015 Farouki RT, Giannelli C, Sestini A. Identification and "reverse engineering" of Pythagorean-hodograph curves Computer Aided Geometric Design. 34: 21-36. DOI: 10.1016/j.cagd.2015.04.001  1
2015 Farouki RT. Arc lengths of rational Pythagorean-hodograph curves Computer Aided Geometric Design. 34: 2-4. DOI: 10.1016/j.cagd.2015.03.007  1
2015 Farouki RT, Nittler KM. Rational swept surface constructions based on differential and integral sweep curve properties Computer Aided Geometric Design. 33: 1-16. DOI: 10.1016/j.cagd.2014.09.004  1
2014 Huard M, Farouki RT, Sprynski N, Biard L. C2 interpolation of spatial data subject to arc-length constraints using Pythagorean-hodograph quintic splines Graphical Models. 76: 30-42. DOI: 10.1016/j.gmod.2013.10.005  1
2014 Farouki RT. Construction of G2 rounded corners with Pythagorean-hodograph curves Computer Aided Geometric Design. 31: 127-139. DOI: 10.1016/j.cagd.2014.02.002  1
2014 Farouki RT, Giannelli C, Sampoli ML, Sestini A. Rotation-minimizing osculating frames Computer Aided Geometric Design. 31: 27-42. DOI: 10.1016/j.cagd.2013.11.003  1
2014 Farouki RT, Han CY, Li S. Inverse kinematics for optimal tool orientation control in 5-axis CNC machining Computer Aided Geometric Design. 31: 13-26. DOI: 10.1016/J.Cagd.2013.11.002  1
2014 Schraeder TF, Farouki RT. Experimental performance analysis of an inverse dynamics CNC compensation scheme for high-speed execution of curved toolpaths International Journal of Advanced Manufacturing Technology. 73: 195-208. DOI: 10.1007/s00170-014-5720-z  1
2013 Farouki RT, Manni C, Sampoli ML, Sestini A. Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves Ima Journal of Numerical Analysis. 35: 478-498. DOI: 10.1093/imanum/drt072  1
2013 Conway JR, Darling AL, Ernesto CA, Farouki RT, Palomares CA. Experimental study of contouring accuracy for CNC machines executing curved paths with constant and curvature-dependent feedrates Robotics and Computer-Integrated Manufacturing. 29: 357-369. DOI: 10.1016/j.rcim.2012.09.006  1
2013 Farouki RT, Dospra P, Sakkalis T. Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves Journal of Symbolic Computation. 58: 1-17. DOI: 10.1016/j.jsc.2013.07.001  1
2013 Farouki RT, Sakkalis T. Corrigendum to "Rational rotation-minimizing frames on polynomial space curves of arbitrary degree" [J. Symbolic Comput. 45 (8) (2010) 844-856] Journal of Symbolic Computation. 58: 99-102. DOI: 10.1016/j.jsc.2013.05.010  1
2013 Farouki RT, Han CY, Dospra P, Sakkalis T. Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants Computer Aided Geometric Design. 30: 653-671. DOI: 10.1016/j.cagd.2013.03.001  1
2013 Farouki RT, Li S. Optimal tool orientation control for 5-axis CNC milling with ball-end cutters Computer Aided Geometric Design. 30: 226-239. DOI: 10.1016/J.Cagd.2012.11.003  1
2013 Farouki RT, Giannelli C, Sestini A. An interpolation scheme for designing rational rotation-minimizing camera motions Advances in Computational Mathematics. 38: 63-82. DOI: 10.1007/s10444-011-9226-z  1
2012 Reiter DA, Fathallah FA, Farouki RT, Walton JH. Noninvasive high resolution mechanical strain maps of the spine intervertebral disc using nonrigid registration of magnetic resonance images. Journal of Biomechanics. 45: 1534-9. PMID 22503578 DOI: 10.1016/J.Jbiomech.2012.03.005  1
2012 Farouki RT, Giannelli C, Manni C, Sestini A. Design of rational rotation-minimizing rigid body motions by hermite interpolation Mathematics of Computation. 81: 879-903. DOI: 10.1090/S0025-5718-2011-02519-6  1
2012 Farouki RT, Sakkalis T. A complete classification of quintic space curves with rational rotation-minimizing frames Journal of Symbolic Computation. 47: 214-226. DOI: 10.1016/j.jsc.2011.09.012  1
2012 Conway JR, Ernesto CA, Farouki RT, Zhang M. Performance analysis of cross-coupled controllers for CNC machines based upon precise real-time contour error measurement International Journal of Machine Tools and Manufacture. 52: 30-39. DOI: 10.1016/j.ijmachtools.2011.08.015  1
2012 Sakkalis T, Farouki RT. Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3 Journal of Computational and Applied Mathematics. 236: 4375-4382. DOI: 10.1016/j.cam.2012.04.002  1
2012 Farouki RT. The Bernstein polynomial basis: A centennial retrospective Computer Aided Geometric Design. 29: 379-419. DOI: 10.1016/j.cagd.2012.03.001  1
2012 Li H, Farouki RT, Wang D. Foreword to the Special Focus on Mathematics and Algorithms for CAM and CNC Mathematics in Computer Science. 6: 267-268. DOI: 10.1007/s11786-012-0122-9  1
2012 Ernesto CA, Farouki RT. High-speed cornering by CNC machines under prescribed bounds on axis accelerations and toolpath contour error International Journal of Advanced Manufacturing Technology. 58: 327-338. DOI: 10.1007/s00170-011-3394-3  1
2012 Farouki RT, Manni C, Pelosi F, Sampoli ML. Design of C 2 spatial Pythagorean-hodograph quintic spline curves by control polygons Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 6920: 253-269. DOI: 10.1007/978-3-642-27413-8_16  1
2011 Farouki RT, Sakkalis T. Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves Computer Aided Geometric Design. 28: 436-445. DOI: 10.1016/j.cagd.2011.07.004  1
2011 Farouki RT, Šír Z. Rational Pythagorean-hodograph space curves Computer Aided Geometric Design. 28: 75-88. DOI: 10.1016/j.cagd.2011.01.002  1
2010 Farouki RT, Sakkalis T. Rational rotation-minimizing frames on polynomial space curves of arbitrary degree Journal of Symbolic Computation. 45: 844-856. DOI: 10.1016/j.jsc.2010.03.004  1
2010 Biard L, Farouki RT, Szafran N. Construction of rational surface patches bounded by lines of curvature Computer Aided Geometric Design. 27: 359-371. DOI: 10.1016/j.cagd.2010.03.002  1
2010 Farouki RT, Szafran N, Biard L. Construction and smoothing of triangular Coons patches with geodesic boundary curves Computer Aided Geometric Design. 27: 301-312. DOI: 10.1016/j.cagd.2010.01.004  1
2010 Farouki RT. Quaternion and Hopf map characterizations for the existence of rational rotation-minimizing frames on quintic space curves Advances in Computational Mathematics. 33: 331-348. DOI: 10.1007/s10444-009-9138-3  1
2010 Ernesto CA, Farouki RT. Solution of inverse dynamics problems for contour error minimization in CNC machines International Journal of Advanced Manufacturing Technology. 49: 589-604. DOI: 10.1007/s00170-009-2407-y  1
2010 Farouki RT, Giannelli C, Sestini A. Geometric design using space curves with rational rotation-minimizing frames Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 5862: 194-208. DOI: 10.1007/978-3-642-11620-9_13  1
2009 Farouki RT, Giannelli C, Sestini A. Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations Journal of Symbolic Computation. 44: 161-179. DOI: 10.1016/j.jsc.2008.07.004  1
2009 Farouki RT, Giannelli C, Sestini A. Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves Journal of Symbolic Computation. 44: 307-332. DOI: 10.1016/j.jsc.2008.07.003  1
2009 Sakkalis T, Farouki RT, Vaserstein L. Non-existence of rational arc length parameterizations for curves in Rn Journal of Computational and Applied Mathematics. 228: 494-497. DOI: 10.1016/j.cam.2008.09.022  1
2009 Farouki RT, Giannelli C, Manni C, Sestini A. Quintic space curves with rational rotation-minimizing frames Computer Aided Geometric Design. 26: 580-592. DOI: 10.1016/j.cagd.2009.01.005  1
2009 Farouki RT, Szafran N, Biard L. Existence conditions for Coons patches interpolating geodesic boundary curves Computer Aided Geometric Design. 26: 599-614. DOI: 10.1016/j.cagd.2009.01.003  1
2009 Farouki RT, Szafran N, Biard L. Construction of Bézier surface patches with Bézier curves as geodesic boundaries Cad Computer Aided Design. 41: 772-781. DOI: 10.1016/j.cad.2009.02.019  1
2009 Farouki RT, Giannelli C. Spatial camera orientation control by rotation-minimizing directed frames Computer Animation and Virtual Worlds. 20: 457-472. DOI: 10.1002/cav.274  1
2008 Farouki RT, Jüttler B, Manni C. Pythagorean-hodograph curves and related topics Computer Aided Geometric Design. 25: 203-204. DOI: 10.1016/j.cagd.2008.01.001  1
2008 Farouki RT, Giannelli C, Manni C, Sestini A. Identification of spatial PH quintic Hermite interpolants with near-optimal shape measures Computer Aided Geometric Design. 25: 274-297. DOI: 10.1016/j.cagd.2007.09.007  1
2008 Choi HI, Farouki RT, Kwon SH, Moon HP. Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants Computer Aided Geometric Design. 25: 411-433. DOI: 10.1016/j.cagd.2007.03.010  1
2008 Choi HI, Farouki RT, Han CY, Moon HP. Computing the minkowski value of the exponential function over a complex disk Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 5081: 1-21. DOI: 10.1007/978-3-540-87827-8_1  1
2007 Timar SD, Farouki RT. Time-optimal traversal of curved paths by Cartesian CNC machines under both constant and speed-dependent axis acceleration bounds Robotics and Computer-Integrated Manufacturing. 23: 563-579. DOI: 10.1016/j.rcim.2006.07.002  1
2007 Farouki RT, Hass J. Evaluating the boundary and covering degree of planar Minkowski sums and other geometrical convolutions Journal of Computational and Applied Mathematics. 209: 246-266. DOI: 10.1016/J.Cam.2006.11.006  1
2007 Farouki RT, Sakkalis T. Rational space curves are not "unit speed" Computer Aided Geometric Design. 24: 238-240. DOI: 10.1016/j.cagd.2007.01.004  1
2007 Perwass CBU, Farouki RT, Noakes L. A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation Computer Aided Geometric Design. 24: 220-237. DOI: 10.1016/j.cagd.2007.01.002  1
2007 Pelosi F, Sampoli ML, Farouki RT, Manni C. A control polygon scheme for design of planar C2 PH quintic spline curves Computer Aided Geometric Design. 24: 28-52. DOI: 10.1016/j.cagd.2006.09.005  1
2007 Hass J, Farouki RT, Han CY, Song X, Sederberg TW. Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme Advances in Computational Mathematics. 27: 1-26. DOI: 10.1007/S10444-005-7539-5  1
2007 Farouki RT, Han CY. Root neighborhoods, generalized lemniscates, and robust stability of dynamic systems Applicable Algebra in Engineering, Communications and Computing. 18: 169-189. DOI: 10.1007/s00200-006-0027-4  1
2007 Timar SD, Farouki RT, Boyadjieff CL. Time-optimal feedrates along curved paths for cartesian CNC machines with prescribed bounds on axis velocities and accelerations International Journal of Robotics and Automation. 22: 112-125.  1
2005 Timar SD, Farouki RT, Smith TS, Boyadjieff CL. Algorithms for time-optimal control of CNC machines along curved tool paths Robotics and Computer-Integrated Manufacturing. 21: 37-53. DOI: 10.1016/J.Rcim.2004.05.004  1
2005 Farouki RT, Han CY, Hass J. Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves Numerical Algorithms. 40: 251-283. DOI: 10.1007/S11075-005-4565-9  1
2005 Farouki RT, Han CY. Solution of elementary equations in the Minkowski geometric algebra of complex sets Advances in Computational Mathematics. 22: 301-323. DOI: 10.1007/s10444-003-2605-3  1
2005 Pelosi F, Farouki RT, Manni C, Sestini A. Geometric hermite interpolation by spatial pythagorean-hodograph cubics Advances in Computational Mathematics. 22: 325-352. DOI: 10.1007/s10444-003-2599-x  1
2005 Boyadjieff CL, Farouki RT, Timar SD. Smoothing of time-optimal feedrates for cartesian CNC machines Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 3604: 84-101. DOI: 10.1007/11537908_6  1
2004 Farouki RT, Han CY. Computation of Minkowski values of polynomials over complex sets Numerical Algorithms. 36: 13-29. DOI: 10.1023/B:NUMA.0000027725.80448.d8  1
2004 Farouki RT, Han CY, Manni C, Sestini A. Characterization and construction of helical polynomial space curves Journal of Computational and Applied Mathematics. 162: 365-392. DOI: 10.1016/j.cam.2003.08.030  1
2004 Farouki RT, Han CY, Hass J, Sederberg TW. Topologically consistent trimmed surface approximations based on triangular patches Computer Aided Geometric Design. 21: 459-478. DOI: 10.1016/J.Cagd.2004.03.002  1
2004 Song X, Sederberg TW, Zheng J, Farouki RT, Hass J. Linear perturbation methods for topologically consistent representations of free-form surface intersections Computer Aided Geometric Design. 21: 303-319. DOI: 10.1016/J.Cagd.2003.11.004  1
2004 Farouki RT, Han CY. Robust plotting of generalized lemniscates Applied Numerical Mathematics. 51: 257-272. DOI: 10.1016/j.apnum.2004.05.007  1
2003 Farouki RT, Manni C, Sestini A. Shape-preserving interpolation by G1 and G2 PH quintic splines Ima Journal of Numerical Analysis. 23: 175-195. DOI: 10.1093/imanum/23.2.175  1
2003 Farouki RT, Han CY. Rational approximation schemes for rotation-minimizing frames on Pythagorean-hodograph curves Computer Aided Geometric Design. 20: 435-454. DOI: 10.1016/S0167-8396(03)00095-5  1
2003 Farouki RT, Goodman TNT, Sauer T. Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains Computer Aided Geometric Design. 20: 209-230. DOI: 10.1016/S0167-8396(03)00025-6  1
2002 Farouki RT. Preface: Advances in geometrical algorithms and representations Advances in Computational Mathematics. 17: 1-3. DOI: 10.1023/A:1016806617055  1
2002 Farouki RT, Al-Kandari M, Sakkalis T. Hermite interpolation by rotation-invariant spatial Pythagorean-hodograph curves Advances in Computational Mathematics. 17: 369-383. DOI: 10.1023/A:1016280811626  1
2002 Farouki RT, Pottmann H. Exact Minkowski products of N complex disks Reliable Computing. 8: 43-66. DOI: 10.1023/A:1014737602641  1
2002 Farouki RT. Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves Graphical Models. 64: 382-395. DOI: 10.1016/S1524-0703(03)00002-X  1
2002 Farouki RT, Al-Kandari M, Sakkalis T. Structural invariance of spatial Pythagorean hodographs Computer Aided Geometric Design. 19: 395-407. DOI: 10.1016/S0167-8396(02)00123-1  1
2002 Smith TS, Farouki RT, Al-Kandari M, Pottmann H. Optimal slicing of free-form surfaces Computer Aided Geometric Design. 19: 43-64. DOI: 10.1016/S0167-8396(01)00088-7  1
2001 Tsai YF, Farouki RT. Algorithm 812: BPOLY: An object-oriented library of numerical algorithms for polynomials in bernstein form Acm Transactions On Mathematical Software. 27: 267-296. DOI: 10.1145/383738.383743  1
2001 Farouki RT, Kuspa BK, Manni C, Sestini A. Efficient solution of the complex quadratic tridiagonal system for C2 PH quintic splines Numerical Algorithms. 27: 35-60. DOI: 10.1023/A:1016621116240  1
2001 Farouki RT, Moon HP, Ravani B. Minkowski Geometric Algebra of Complex Sets Geometriae Dedicata. 85: 283-315. DOI: 10.1023/A:1010318011860  1
2001 Costantini P, Farouki RT, Manni C, Sestini A. Computation of optimal composite re-parameterizations Computer Aided Geometric Design. 18: 875-897. DOI: 10.1016/S0167-8396(01)00071-1  1
2001 Smith TS, Farouki RT. Gauss map computation for free-form surfaces Computer Aided Geometric Design. 18: 831-850. DOI: 10.1016/S0167-8396(01)00066-8  1
2001 Farouki RT, Manni C, Sestini A. Real-time CNC interpolators for Bézier conics Computer Aided Geometric Design. 18: 639-655. DOI: 10.1016/S0167-8396(01)00058-9  1
2001 Tsai YF, Farouki RT, Feldman B. Performance analysis of CNC interpolators for time-dependent feedrates along PH curves Computer Aided Geometric Design. 18: 245-265. DOI: 10.1016/S0167-8396(01)00029-2  1
2001 Moon HP, Farouki RT, Choi HI. Construction and shape analysis of PH quintic Hermite interpolants Computer Aided Geometric Design. 18: 93-115. DOI: 10.1016/S0167-8396(01)00016-4  1
2001 Farouki RT, Tsai YF. Exact Taylor series coefficients for variable-feedrate CNC curve interpolators Cad Computer Aided Design. 33: 155-165. DOI: 10.1016/S0010-4485(00)00085-3  1
2000 Farouki RT, Gu W, Moon HP. Minkowski roots of complex sets Proceedings - Geometric Modeling and Processing 2000: Theory and Applications. 287-300. DOI: 10.1109/GMAP.2000.838260  1
2000 Farouki RT. Convergent inversion approximations for polynomials in Bernstein form Computer Aided Geometric Design. 17: 179-196. DOI: 10.1016/S0167-8396(99)00046-1  1
2000 Farouki RT, Tsai YF, Wilson CS. Physical constraints on feedrates and feed accelerations along curved tool paths Computer Aided Geometric Design. 17: 337-359. DOI: 10.1016/S0167-8396(00)00004-2  1
2000 Farouki RT. Legendre-Bernstein basis transformations Journal of Computational and Applied Mathematics. 119: 145-160.  1
2000 Farouki RT, Moon HP, Ravani B. Algorithms for Minkowski products and implicitly-defined complex sets Advances in Computational Mathematics. 13: 199-229.  1
1999 Ramamurthy R, Farouki RT. Voronoi diagram and medial axis algorithm for planar domains with curved boundaries I. Theoretical foundations Journal of Computational and Applied Mathematics. 102: 119-141.  1
1999 Ramamurthy R, Farouki RT. Voronoi diagram and medial axis algorithm for planar domains with curved boundaries - II: Detailed algorithm description Journal of Computational and Applied Mathematics. 102: 253-277.  1
1999 Farouki RT, Manjunathaiah J, Yuan GF. G codes for the specification of Pythagorean-hodograph tool paths and associated feedrate functions on open-architecture CNC machines International Journal of Machine Tools and Manufacture. 39: 123-142.  1
1999 Farouki RT, Tsai YF, Yuan GF. Contour machining of free-form surfaces with real-time PH curve CNC interpolators Computer Aided Geometric Design. 16: 61-76.  1
1998 Farouki RT. On integrating lines of curvature Computer Aided Geometric Design. 15: 187-192.  1
1998 Farouki RT, Ramamurthy R. Degenerate point/curve and curve/curve bisectors arising in medial axis computations for planar domains with curved boundaries Computer Aided Geometric Design. 15: 615-635.  1
1998 Farouki RT, Ramamurthy R. Specified-precision computation of curve/curve bisectors International Journal of Computational Geometry and Applications. 8: 599-617.  1
1998 Farouki RT, Manjunathaiah J, Jee S. Design of rational cam profiles with pythagorean-hodograph curves Mechanism and Machine Theory. 33: 669-682.  1
1998 Farouki RT, Manjunathaiah J, Nicholas D, Yuan GF, Jee S. Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves Cad Computer Aided Design. 30: 631-640.  1
1997 Farouki RT. Pythagorean-hodograph quintic transition curves of monotone curvature Cad Computer Aided Design. 29: 601-606.  1
1997 Farouki RT. Conic approximation of conic offsets Journal of Symbolic Computation. 23: 301-313.  1
1997 Farouki RT. Optimal parameterizations Computer Aided Geometric Design. 14: 153-168.  1
1997 Hamaguchi S, Farouki RT, Dubin DHE. Triple point of Yukawa systems Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 56: 4671-4682.  1
1996 Farouki RT, Goodman TNT. On the optimal stability of the Bernstein basis Mathematics of Computation. 65: 1553-1566. DOI: 10.1090/S0025-5718-96-00759-4  1
1996 Farouki RT, Shah S. Real-time CNC interpolators for Pythagorean-hodograph curves Computer Aided Geometric Design. 13: 583-600. DOI: 10.1016/0167-8396(95)00047-X  1
1996 Farouki RT. The elastic bending energy of Pythagorean-hodograph curves Computer Aided Geometric Design. 13: 227-241. DOI: 10.1016/0167-8396(95)00024-0  1
1996 Farouki RT, König T. Computational methods for rapid prototyping of analytic solid models Rapid Prototyping Journal. 2: 41-48.  1
1996 Albrecht G, Farouki RT. Construction of C2 Pythagorean - Hodograph interpolating splines by the homotopy method Advances in Computational Mathematics. 5: 417-442.  1
1996 Hamaguchi S, Farouki RT, Dubin DHE. Phase diagram of Yukawa systems near the one-component-plasma limit revisited Journal of Chemical Physics. 105: 7641-7647.  1
1995 Farouki RT, Neff CA. Hermite interpolation by pythagorean hodograph quintics Mathematics of Computation. 64: 1589-1609. DOI: 10.1090/S0025-5718-1995-1308452-6  1
1995 Farouki RT, Koenig T, Tarabanis KA, Korein JU, Batchelder JS. Path planning with offset curves for layered fabrication processes Journal of Manufacturing Systems. 14: 355-368. DOI: 10.1016/0278-6125(95)98872-4  1
1995 Farouki RT, Sederberg TW. Analysis of the offset to a parabola Computer Aided Geometric Design. 12: 639-645. DOI: 10.1016/0167-8396(94)00038-T  1
1994 Hamaguchi S, Farouki RT. Polarization force on a charged particulate in a nonuniform plasma. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 49: 4430-4441. PMID 9961737 DOI: 10.1103/PhysRevE.49.4430  1
1994 Farouki RT. The conformal map z → z2 of the hodograph plane Computer Aided Geometric Design. 11: 363-390. DOI: 10.1016/0167-8396(94)90204-6  1
1994 Farouki RT, Johnstone JK. The bisector of a point and a plane parametric curve Computer Aided Geometric Design. 11: 117-151. DOI: 10.1016/0167-8396(94)90029-9  1
1994 Farouki RT, Sakkalis T. Pythagorean-hodograph space curves Advances in Computational Mathematics. 2: 41-66. DOI: 10.1007/BF02519035  1
1994 Farouki RT. Spline approximation of "effective" potentials under periodic boundary conditions Journal of Computational Physics. 115: 276-287. DOI: 10.1006/jcph.1994.1195  1
1994 Hamaguchi S, Farouki RT. Plasma-particulate interactions in nonuniform plasmas with finite flows Physics of Plasmas. 1: 2110-2118.  1
1994 Farouki RT, Salpeter EE. Mass segregation, relaxation, and the Coulomb logarithm in N-body systems (again) Astrophysical Journal. 427: 676-683.  1
1994 Hamaguchi S, Farouki RT. Thermodynamics of strongly-coupled Yukawa systems near the one-component-plasma limit. I. Derivation of the excess energy The Journal of Chemical Physics. 101: 9876-9884.  1
1994 Farouki RT, Hamaguchi S. Thermodynamics of strongly-coupled Yukawa systems near the one-component-plasma limit. II. Molecular dynamics simulations The Journal of Chemical Physics. 101: 9885-9893.  1
1994 Hamaguchi S, Farouki RT. Dynamics of charged particulates in plasmas Ieee International Conference On Plasma Science. 218.  1
1994 Farouki RT, Tarabanis K, Korein JU, Batchelder JS, Abrams SR. Offset curves in layered manufacturing American Society of Mechanical Engineers, Production Engineering Division (Publication) Ped. 68: 557-567.  1
1993 Farouki RT, Hamaguchi S. Thermal energy of the crystalline one-component plasma from dynamical simulations. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 47: 4330-4336. PMID 9960510 DOI: 10.1103/PhysRevE.47.4330  1
1993 Hamaguchi S, Dalvie M, Farouki RT, Sethuraman S. A shock-tracking algorithm for surface evolution under reactive-ion etching Journal of Applied Physics. 74: 5172-5184. DOI: 10.1063/1.354282  1
1993 Sakkalis T, Farouki RT. Algebraically rectifiable parametric curves Computer Aided Geometric Design. 10: 551-569. DOI: 10.1016/0167-8396(93)90031-W  1
1992 Hamaguchi S, Farouki RT, Dalvie M. Ponderomotive force and ion energy distributions in an rf sheath. Physical Review Letters. 68: 44-47. PMID 10045108 DOI: 10.1103/PhysRevLett.68.44  1
1992 Dalvie M, Hamaguchi S, Farouki RT. Self-consistent Monte Carlo simulation of the cathode fall including treatment of negative-glow electrons. Physical Review. A. 46: 1066-1077. PMID 9908211 DOI: 10.1103/PhysRevA.46.1066  1
1992 Farouki RT, Hamaguchi S, Surendra M, Dalvie M. Dynamical N-body simulations of Coulomb scattering in plasma sheaths. Physical Review. A. 46: 7815-7829. PMID 9908133 DOI: 10.1103/PhysRevA.46.7815  1
1992 Farouki RT, Hamaguchi S, Dalvie M. Analysis of a kinematic model for ion transport in rf plasma sheaths. Physical Review. A. 45: 5913-5928. PMID 9907693 DOI: 10.1103/PhysRevA.45.5913  1
1992 Sederberg TW, Farouki RT. Approximation by Interval Bezier Curves Ieee Computer Graphics and Applications. 12: 87-95. DOI: 10.1109/38.156018  1
1992 Dalvie M, Farouki RT, Hamaguchi S. Flux Considerations in the Coupling of Monte Carlo Plasma Sheath Simulations with Feature Evolution Models Ieee Transactions On Electron Devices. 39: 1090-1099. DOI: 10.1109/16.129088  1
1992 Dalvie M, Farouki RT, Hamaguchi S, Surendra M. Hydrodynamic analysis of electron motion in the cathode fall using a Monte Carlo simulation Journal of Applied Physics. 72: 2620-2631. DOI: 10.1063/1.351562  1
1992 Farouki RT, Hamaguchi S. Phase transitions of dense systems of charged "dust" grains in plasmas Applied Physics Letters. 61: 2973-2975. DOI: 10.1063/1.108035  1
1992 Hamaguchi S, Farouki RT, Dalvie M. Ion energetics in collisionless sheaths of rf process plasmas Physics of Fluids B. 4: 2362-2367.  1
1991 Hamaguchi S, Farouki RT, Dalvie M. Ion distribution function in a weakly collisional sheath. Physical Review. A. 44: 3804-3821. PMID 9906398 DOI: 10.1103/PhysRevA.44.3804  1
1991 Farouki RT, Hamaguchi S, Dalvie M. Monte Carlo simulations of space-charge-limited ion transport through collisional plasma sheaths. Physical Review. A. 44: 2664-2681. PMID 9906248 DOI: 10.1103/PhysRevA.44.2664  1
1991 Farouki RT. On the stability of transformations between power and Bernstein polynomial forms Computer Aided Geometric Design. 8: 29-36. DOI: 10.1016/0167-8396(91)90047-F  1
1991 Farouki RT, Sakkalis T. Real rational curves are not 'unit speed' Computer Aided Geometric Design. 8: 151-157. DOI: 10.1016/0167-8396(91)90040-I  1
1991 Farouki RT. Computing with barycentric polynomials The Mathematical Intelligencer. 13: 61-69. DOI: 10.1007/BF03028345  1
1991 Hamaguchi S, Dalvie M, Farouki RT. The ion distribution function in weakly collisional sheaths . 137-138.  1
1990 Farouki RT, Neff CA. On the numerical condition of bernstein-bÉzier subdivision processes Mathematics of Computation. 55: 637-647. DOI: 10.1090/S0025-5718-1990-1035933-0  1
1990 Farouki RT, Dalvie M, Pavarino LF. Boundary-condition refinement of the Child-Langmuir law for collisionless dc plasma sheaths Journal of Applied Physics. 68: 6106-6116. DOI: 10.1063/1.346898  1
1990 Farouki RT, Neff CA. Algebraic properties of plane offset curves Computer Aided Geometric Design. 7: 101-127. DOI: 10.1016/0167-8396(90)90024-L  1
1990 Farouki RT, Neff CA. Analytic properties of plane offset curves Computer Aided Geometric Design. 7: 83-99. DOI: 10.1016/0167-8396(90)90023-K  1
1990 Farouki RT, Sakkalis T. Pythagorean hodographs Ibm Journal of Research and Development. 34: 736-752.  1
1989 Farouki RT, Neff C, O'Conner MA. Automatic Parsing of Degenerate Quadric-Surface Intersections Acm Transactions On Graphics (Tog). 8: 174-203. DOI: 10.1145/77055.77058  1
1988 Farouki RT, Rajan VT. Algorithms for polynomials in Bernstein form Computer Aided Geometric Design. 5: 1-26. DOI: 10.1016/0167-8396(88)90016-7  1
1988 Farouki RT, Rajan VT. On the numerical condition of algebraic curves and surfaces 1. Implicit equations Computer Aided Geometric Design. 5: 215-252. DOI: 10.1016/0167-8396(88)90005-2  1
1988 Farouki RT. Computational issues in solid boundary evaluation Information Sciences. 44: 87-171. DOI: 10.1016/0020-0255(88)90034-5  1
1987 Farouki RT, Rajan VT. On the numerical condition of polynomials in Bernstein form Computer Aided Geometric Design. 4: 191-216. DOI: 10.1016/0167-8396(87)90012-4  1
1986 Beck JM, Farouki RT, Hinds JK. Surface Analysis Methods Ieee Computer Graphics and Applications. 6: 18-36. DOI: 10.1109/MCG.1986.276587  1
1986 Farouki RT. The characterization of parametric surface sections Computer Vision, Graphics and Image Processing. 33: 209-236. DOI: 10.1016/0734-189X(86)90115-5  1
1986 Farouki RT. The approximation of non-degenerate offset surfaces Computer Aided Geometric Design. 3: 15-43. DOI: 10.1016/0167-8396(86)90022-1  1
1985 Farouki RT, Hinds JK. A Hierarchy of Geometric Forms Ieee Computer Graphics and Applications. 5: 51-78. DOI: 10.1109/MCG.1985.276393  1
1985 Farouki RT. Exact offset procedures for simple solids Computer Aided Geometric Design. 2: 257-279. DOI: 10.1016/S0167-8396(85)80002-9  1
1983 Farouki RT, Shapiro SL, Teukolsky SA. Computational Astrophysics on the Array Processor Computer. 16: 73-83. DOI: 10.1109/MC.1983.1654419  1
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