Lyle Noakes

School of Mathematics and Statistics, The University of Western Australia

    2009 Journal Papers and Book Chapters

  1. ``Maximizing Welfare Across a River System: an integrated management programme," (with A.B.T. Coram), in eds Jarvis, Ramesh, Araral, Eduardo Jr, Wu Xun, `Regulation and Infrastructure', in-press (September 2009).

  2. ``Relative Satisfaction and Welfare Maximizing Wealth Distribution," (with A.B.T. Coram), B.E. Journal of Theoretical Economics, in-press September 2009.

  3. ``The Optimal Extraction of Water Along an Arbitrarily Configured River System," (with A.B.T. Coram), Australian J. of Agricultural and Resource Economic, Volume 53, Issue 2, 251--264.

  4. ``Robust Surface Fitting From Two Views Using Restricted Correspondence," (with S. Collings and R. Kozera), J. Math Imaging and Vision, Volume 34, Issue 2, 2009, 200--221.

    2008 Journal Papers

  5. ``Leapfrog for Optimal Control," with C.Y. Kaya, SIAM J. on Numerical Analysis, http://link.aip.org/link/?SNA/46/2795 DOI: 10.1137/060675034 Volume 46, No. 6, (2008) 2795--2817.

  6. ``Asymptotics of Null Lie Quadratics in E^3," SIAM J. on Applied Dynamical Systems, Volume 7, Issue 2 April 2008, 437-460.

  7. ``Recognising Algebraic Surfaces from Two Outlines," with S. Collings and R. Kozera, J. Math. Imaging and Vision, February 2008 Volume 30 Issue 2, 181--193.

    2007 Journal Papers

  8. ``Elastica in $SO(3)$,'' (with T. Popiel), J. Aust. Math. Soc. 83 (2007), no. 1 105--125.

  9. ``A Geometric Product Formulation for Spatial Pythagorean-Hodograph Curves with Applications to Hermite Interpolation in Computer Aided Geometric Design,'' (with R. Farouki and C. Perwass), Computer Aided Geometric Design Volume 24, Issue 4, May 2007, Pages 220-237.

  10. ``Continuous-Time Adaptive Critics," (with T. Hanselmann and A. Zaknich) IEEE Trans Neural Netw. May 2007; 18 (3): 631-647.

  11. ``Geometry for Robot Path Planning," (with T. Popiel), Robotica, Special Issue for Geometry in Robotics, 25 (06), Nov. 2007, 691--701.

  12. ``B\'ezier Curves and C^2 Interpolation in Riemannian Manifolds,'' (with T.Popiel), J. Approx. Theory, 148 (2) (2007), 111-127.

  13. ``Geometry and Marginals,'' J. Multivariate Analysis 98 (1) (2007), 194--208.

    2006 Edited Books

  14. ``Geometric Properties for Incomplete Data,'' (Eds R.Klette, R.Kozera, L.Noakes, J.Weickert), Computational Imaging and Vision 31, Springer 2006 ISBN 1-4020-3857-7, pages i--xi and 1--392.

  15. ``Proc 2nd Int. Conf. Computer Vision and Graphics,'' ICCVG04, Warsaw, (Eds H. Paulus, R.Kozera, L.Noakes, W.Skarbek, B. Smolka, K.Wojiechowski), Springer ISBN: 1-4020-4178-0 (2006).

    2006 Journal Papers

  16. ``Lax Constraints in Semisimple Lie Groups,'' Quart. J. Math. (Oxford), 57, 2006, 527--538.

  17. ``Duality and Riemannian Cubics,'' Advances in Computational Math. 25 (2006) 195-209.

  18. ``Quadratures and Cubics in SO(3) and SO(1,2),'' (with T. Popiel), IMA J. Math. Control Inf. 23 (4) (2006), 463-473: journal article available online doi:10.1093/imamci/dni069

  19. ``C^2 Spherical B\'ezier Splines,'' (with T. Popiel), Computer Aided Geometric Design, 23 (3) (2006) 261-275.

  20. ``Surface Properties from n-Views of a Strictly Convex Solid,'' (with S. Collings and R. Kozera), Fundamenta Informaticae, (4) 72 (2006) 437--452.

  21. ``Spherical Splines,'' in ``Geometric Properties for Incomplete Data,'' (Eds R.Klette, R.Kozera, L.Noakes, J.Weickert), Computational Imaging and Vision 31, Springer 2006 ISBN 1-4020-3857-7, 77--101.

  22. ``Cumulative Chord Piecewise Quadratics and Piecewise Cubics,'' (with R. Kozera), in ``Geometric Properties for Incomplete Data,'' (Eds R.Klette, R.Kozera, L.Noakes, J.Weickert), Computational Imaging and Vision 31, Springer 2006 ISBN 1-4020-3857-7, 59--76.

    2006 Refereed Conference Papers

  23. ``Smooth Interpolation with Cumulative Chord Cubics," (with R. Kozera), Proc 2nd Int Conf Computer Vision and Graphics ICCVG'04, Warsaw, (2006) 87--94.

  24. ``Noise Reduction in Photometric Stereo with Non-distant Light Sources,'' (with R. Kozera), Proc 2nd Int Conf Computer Vision ICCVG'04, Warsaw, (2006) 103--110.

  25. ``Shape Recovery of a Strictly Convex Solid From $n$ Views,'' (with S. Collings and R. Kozera), Proc 2nd Int Conf Computer Vision ICCVG'04, Warsaw, (2006) 57--65.

    Journal Papers to 2005

  26. ``Matching Stochastic Algorithms to Objective Function Landscapes,'' (with W.P. Baritompa, M. Dur, E.M.T. Hendrix, W. Pullan, G.R. Wood), J. Global Optimization, 31 (4) (2005) 579-598.

  27. ``Rao Distances,'' (with C.A. Micchelli), J. Multivariate Analysis, 92 (2005) 97-115.

  28. ``Null Riemannian Cubics in Tension in SO(3)," (with T. Popiel), IMA J. Math Control & Information 22 (2005) 477-488.

  29. ``Non-Null Lie Quadratics in E^3,'' J. Math Physics, 45 (11) (2004) 4334-4351

  30. ``C^1 Interpolation with Cumulative Chord Cubics,'' (with R. Kozera), Fundamenta Informaticae, 61 (3-4) (2004) 285-301.

  31. ``Nonlinearity and Noise Reduction in 3-Source Photometric Stereo,'' (with R. Kozera), J. Math. Imaging and Vision, (2) 18 (2003) 119-127.

  32. ``A Computational Method for Time-Optimal Control,'' (with C.Y. Kaya), JOTA 117, No 1, April 2003.

  33. ``Null Cubics and Lie Quadratics ,'' J. Math. Physics 44 (3) March 2003, 1436-1448.

  34. ``More-or-Less Uniform Sampling and Lengths of Curves,'' (with R. Kozera), Quarterly J. Applied Math LXI No 3 Sept 2003, 475-484.

  35. ``Denoising Images: Nonlinear Leap-Frog for Shape and Light-Source Recovery,'' (with R. Kozera), Special Issue for Dagstuhl Workshop on Theoretical Foundations of Computer Vision, Geometry, Morphology, and Computational Imaging, Springer Lecture Notes in Computer Science, T Asano, R. Klette and C. Ronse (eds), (2003), 419-436.

  36. ``External versus Internal Parameterizations for Lengths of Curves with Nonuniform Samplings,'' (with R. Kozera and R. Klette), Special Issue for Dagstuhl Workshop on Theoretical Foundations of Computer Vision, Geometry, Morphology, and Computational Imaging, Springer Lecture Notes in Computer Science, T Asano, R. Klette and C. Ronse (eds), (2003), 403-418.

  37. ``Quadratic Interpolation on Spheres,'' Advances in Computational Math, 17, (2002) 385-395.

  38. ``Computing the Inertia Matrix of a Rigid Body,'' (with Wayne Lawton), J. Math. Physics 42 (4), (2001) 1655-1665.

  39. ``Length Estimation for Curves with Different Samplings,'' (with R. Kozera and R. Klette), in ``Digital and Image Geometry,'' Springer Lecture Notes in Computer Science 2243, Gilles Bertrand, Atsushi Imiya, Reinhard Klette (eds), Springer-Verlag (2001), 339-351.

  40. ``Geometrical Enforcement of Integrability and 2-D Leapfrog,'' (with R. Kozera), in ``Digital and Image Geometry'', Springer Lecture Notes in Computer Science 2243, Gilles Bertrand, Atsushi Imiya, Reinhard Klette (eds), Springer-Verlag (2001) 352-364.

  41. ``Accelerations of Riemannian Quadratics ,'' Proc. Amer. Math. Soc. 127 (1999) 1827-1836

  42. ``A Global Algorithm for Geodesics ," J. Australian Math.Soc. (Series A) 64 (1998) 37-50

  43. ``A Global Control Algorithm in the Plane,'' (with C.Y. Kaya), Dynamics and Control 8, (1998) 377-385

  44. ``Nonlinear Corner-Cutting,'' Advances in Computational Math. 8 (1998) 165-177

  45. ``Closed Trajectories and Global Controllability of Nonlinear Systems in the Plane,'' (with C.Y. Kaya), IMA J. Math. Control & Information, Oxford University Press, Oxford, vol. 14 (1997) 353-369

  46. ``Riemannian Quadratics,'' in `Curves and Surfaces with Applications in CAGD', Alain Le M\'ehaut\'e, Christopher Rabut, Larry L. Schumaker (eds), Vanderbilt University Press, Nashville and London, vol. 1, (1997) 319-328

  47. ``Computations and Time-Optimal Controls,'' (with C.Y. Kaya), Optimal Control, Applications & Methods 17, 171-185 (1996)

  48. ``Networks and Closed Balls,'' Advances in Computational Math, J.C. Baltzer, Basel, vol. 5, 2-3, (1996) 153-161

  49. ``Distributions on the Reals Induced From a 2-Manifold with Boundary,'' (with Martin O'Hely), Physica D 89 (1996) 306-314

  50. ``Approximations and Measures'', Annals of Numerical Math. 1-4 (1996) 297-304

  51. ``Linearized Control Systems and Small-Time Reachable Sets,'' (with C.Y. Kaya), IMA J. Math. Control & Information 12 (1995), 207-217

  52. ``Invariant Subspaces: Continuous Stability Implies Smooth Stability,'' (with K.Y. Chung), Proc. Amer. Math. Soc. 120 (1994) 119-126

  53. ``Asymptotically Smooth Splines,'' World Scientific Series in Approximations and Decompositions 4 (1994) 131-137.

  54. ``Neural Networks and Identification of Systems With Unobserved States,'' (with C.J. Goh), J. Dynamic Systems, Measurement & Control ASME 115 (1993) 196-203

  55. ``Dynamical Signatures,'' (with A. Mees) Physica D 58 (1992) 243-250

  56. ``Densities and Dynamics,'' Int. J. Bifurcation & Chaos 2 (1992), 371-381

  57. ``The Takens Embedding Theorem,'' Int. J. Bifurcation & Chaos 1 (1991), 867-872

  58. ``Invariant Subspaces and Perturbations,'' Proc. Amer. Math. Soc. 114 (1992), 365-370

  59. ``Adapting Functions to Experimental Measurements,'' Computers Math. Applic. 22 (1991), 35-44

  60. ``Singular Perturbations and Interpolation - a Problem in Robotics,'' (with P.B. Chapman), Nonlinear Analysis TMA 16 (1991), 849-859

  61. ``Mimimum Trapping Time,'' (with M.E. Fisher & K.L. Teo) J. Austral. Math. Soc. Ser. B 32 (1990), 100-114

  62. ``Generalised Umbilics on Embedded Spheres",'' Canad. Math. Bull. 33 (4) (1990), 1-5

  63. ``Cubic Splines on Curved Spaces,'' (with G. Heinzinger, & B. Paden) IMA J. Math. Control & Information 6 (1989), 465-473

  64. ``Fitting Maps of the Plane to Experimental Data,'' Mathematical Programming 43 (1989), 225-234

  65. ``Self-Maps of Sphere Bundles II,'' Kodai Math. J. 11 (1988), 379-386

  66. ``Lagrangian Immersions and Bott Periodicity,'' Topology and its Applications 25 (1987), 151-159

  67. ``Trajectory Generation and Obstacle Avoidance,'' IMA J. Math. Control & Information 4 (1987), 293-300

  68. ``Discrete Signals and Continuous Dynamics,'' IMA J. Math Control & Information 3 (1986), 293-297

  69. ``Feedback and Accessibility,'' IMA J. Math. Control & Information 2 (1985), 81-85

  70. ``Fibrations and Homotopy Type,'' Proc. Amer. Math. Soc. 90 (1984), 619-630.

  71. ``Spherical Fibrations,'' Bull. Amer. Math. Soc. 3 (1980), 853-856

  72. ``Foliations by Manifolds With Boundary,'' J. Differential Geometry 16 (1981), 129-136.

  73. ``Flows on Fibre Bundles,'' Trans. Amer. Math. Soc. 259 (1980), 629-635.

  74. ``Power Maps and Principal Bundles,'' Proc. Amer. Math. Soc. 64 (1977), 346-350.

  75. ``Self-Maps of Sphere Bundles I,'' J. Pure & Appl. Algebra 10 (1977), 95-99

  76. ``Symmetric Overmaps,'' Proc. Amer. Math. Soc. 56 (1976), 333-336.

  77. ``Unstable J-Invariants,'' Quart. J. Math. (Oxford) (2) 27 (1976), 51-57

    Refereed Conference Papers to 2005

  78. ``Continuous Adaptive Critic Designs," (with T. Hanselmann and A. Zaknich), INNS-IEEE International Joint Conference on Neural Networks (IJCNN), Montreal, Canada, July 31 - August 4 2005

  79. ``A Hybrid Dynamical System with Robust Switching Control by Action Dependent Heuristic Dynamic Programming,'' (with T. Hanselmann, A. Savkin and A. Zaknich), IEEE International Joint Conference on Neural Networks (IJCNN), 25-29 July 2004, Budapest, Hungary, Vol. 3, 1799-1804

  80. ``Interpolating Camera Configurations,'' 10th International Conference on Computer Analysis of Images and Patterns CAIP'03, Groningen, The Netherlands (August 2003), editors Nicilia Petkov and Michel Westenberg, Springer Verlag Lecture Notes in Computer Science 2756.

  81. ``Cumulative Chords and Piecewise-Quadratics,'' (with R. Kozera), Proceedings of 1st International Conference on Computer Vision and Graphics, Vol. 2, 589-595, ed. K. Wojciechowski, September 25-29, 2002, Zakopane, Poland (Institute of Theoretical and Applied Informatics PAS Gliwice, Association for Image Processing, Silesian University of Technology).

  82. ``A Piecewise Quadratic Approach to Single Image Shape-From-Shading,'' (with S. Collings and R. Kozera), 16th IAPR International Conference on Pattern Recognition, August 11-15, 2002, Quebec, Canada, 126--129.

  83. ``Interpolating Sporadic Data,'' (with R. Kozera), Proc. 7th European Congress on Computer Vision, ECCV'02, Springer Lecture Notes in Computer Science 2351 (2002), 613-625.

  84. "Optimizing an Algebraic Perceptron Solution", (with T. Hanselmann), Proceedings of International Joint Conference on Neural Networks 2001, Washington DC.

  85. "Comparison Between Support Vector Algorithm and Algebraic Perceptron", (with T. Hanselmann), Proceedings of International Joint Conference on Neural Networks 2001, Washington DC.

  86. ``A Decomposition Algorithm Based on the Algebraic Perceptron,'' (with T. Hanselmann), Seventh Australian and New Zealand Intelligent Information Systems Conference (ANZIIS), 18-21 November, 2001, Perth, Australia, 265-269.

  87. ```Length Estimation for Curves with epsilon-Uniform Sampling,'' (with R. Kozera and R. Klette), Proceedings of 9th International Conference on Computer Analysis of Images and Patterns CAIP'01, Warsaw, Poland, (2001), Lecture Notes in Computer Science 2124, Springer-Verlag, 518-526.

  88. ``A 2-D Leap-Frog Algorithm for Optimal Surface Reconstruction,'' (with R. Kozera), Proceedings of SPIE 99, Technical Conference 3811 (Vision Geometry VIII), 317-328.

  89. `The Lawn Mowing Algorithm for Noisy Gradient Vector Fields,'' (with R. Kozera and R. Klette), Proceedings of SPIE 99, Technical Conference 3811 (Vision Geometry VIII), 305-316

  90. ``The Leap-Frog Algorithm and Optimal Control: background and demonstration,'' (with C.Y. Kaya), ICOTA 98, 835-842.

  91. ``The Leap-Frog Algorithm and Optimal Control: Theoretical Aspects,'' (with C.Y. Kaya), ICOTA 98 843-850.

  92. ``Nonlinear Systems of Equations and Small-Time Switching Control,''(with C.Y. Kaya), Proceedings of Control 97, 20-22 October 1997, ICMS Pty Ltd, Sydney, (1997), 312-317.

  93. ``Geodesics and an Optimal Control Algorithm,'' (with C.Y. Kaya), Proceedings of the 36th IEEE Conference on Decision and Control, San Diego, California, December 10-12, 1997, (1997) 4918-4919.

  94. ``A Global Control Law with Implications in Time-Optimal Control,'' (with C.Y. Kaya), Proceedings of IEEE 33rd CDC (Orlando, Florida), December 1994, 3823-3824.

    Other Publications

  95. ``Geometric Properties from Incomplete Data,'' with R.Klette, R. Kozera and J. Weickert, Dagstuhl Sem. Ser. Proc. 04131 Abstracts, ISSN 1862-4405, March 2005.

  96. ``The 49th Annual Meeting of the Australian Mathematical Society,'' Austral. Math. Soc. Gazette 32, No 5, November 2005, 326-327.

  97. ``Critical Sets and Negative Bundles,'' IMA Preprint Series 93, September 1984.

  98. ``Some Topics in Homotopy Theory: Maps of Degree m and Sphere Bundles,'' DPhil Thesis, Oxford University, June 1974.

Lyle Noakes, Page last updated September 2009

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