Lyle Noakes

Orcid: 0000-0001-9595-0735

Affiliations:
  • University of Western Australia, Perth, Australia


According to our database1, Lyle Noakes authored at least 64 papers between 1989 and 2024.

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Bibliography

2024
Multi-objective Variational Curves.
J. Optim. Theory Appl., May, 2024

2023
Convergence Analysis of Leapfrog for Geodesics.
SIAM J. Numer. Anal., October, 2023

Finding extremals of Lagrangian actions.
Commun. Nonlinear Sci. Numer. Simul., 2023

Optimal Knots Selection in Fitting Degenerate Reduced Data.
Proceedings of the Computational Science - ICCS 2023, 2023

2022
Finding geodesics joining given points.
Adv. Comput. Math., 2022

Non-Generic Case of Leap-Frog for Optimal Knots Selection in Fitting Reduced Data.
Proceedings of the Computational Science - ICCS 2022, 2022

2021
Exponential parameterization to fit reduced data.
Appl. Math. Comput., 2021

Generic Case of Leap-Frog Algorithm for Optimal Knots Selection in Fitting Reduced Data.
Proceedings of the Computational Science - ICCS 2021, 2021

2020
Lens Rigidity in Scattering by Unions of Strictly Convex Bodies in R^2.
SIAM J. Math. Anal., 2020

Riemannian cubics in quadratic matrix Lie groups.
Appl. Math. Comput., 2020

Parameterizations and Lagrange Cubics for Fitting Multidimensional Data.
Proceedings of the Computational Science - ICCS 2020, 2020

2019
Optimal interpolants on Grassmann manifolds.
Math. Control. Signals Syst., 2019

The cubic de Casteljau construction and Riemannian cubics.
Comput. Aided Geom. Des., 2019

Second order spiral splines.
Comput. Aided Geom. Des., 2019

2018
Controlled quantum search.
Quantum Inf. Process., 2018

Left Lie reduction for curves in homogeneous spaces.
Adv. Comput. Math., 2018

2017
Non-linearity and Non-convexity in Optimal Knots Selection for Sparse Reduced Data.
Proceedings of the Computer Algebra in Scientific Computing - 19th International Workshop, 2017

2016
Constrained Metric Learning by Permutation Inducing Isometries.
IEEE Trans. Image Process., 2016

2D-Leap-Frog and Removal of Outliers in Noisy Photometric Stereo with Non-distant Illuminations.
Proceedings of the Computer Vision and Graphics - International Conference, 2016

2015
Integrated Parallel 2D-Leap-Frog Algorithm for Noisy Three Image Photometric Stereo.
Proceedings of the Image and Video Technology - PSIVT 2015 Workshops, 2015

Optimal Knots Selection for Sparse Reduced Data.
Proceedings of the Image and Video Technology - PSIVT 2015 Workshops, 2015

A Modified Complete Spline Interpolation and Exponential Parameterization.
Proceedings of the Computer Information Systems and Industrial Management, 2015

Piecewise-Quadratics and Reparameterizations for Interpolating Reduced Data.
Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2014
Minimum L ∞ accelerations in Riemannian manifolds.
Adv. Comput. Math., 2014

Quartic Orders and Sharpness in Trajectory Estimation for Smooth Cumulative Chord Cubics.
Proceedings of the Computer Vision and Graphics - International Conference, 2014

Sharpness in Trajectory Estimation for Planar Four-points Piecewise-Quadratic Interpolation.
Proceedings of the Computer Algebra in Scientific Computing - 16th International Workshop, 2014

2013
Finding Interpolating Curves Minimizing L<sup>INFINITY</sup> Acceleration in the Euclidean Space via Optimal Control Theory.
SIAM J. Control. Optim., 2013

Piecewise-quadratics and exponential parameterization for reduced data.
Appl. Math. Comput., 2013

Length Estimation for Exponential Parameterization and ε-Uniform Samplings.
Proceedings of the Image and Video Technology - PSIVT 2013 Workshops, 2013

Trajectory Estimation for Exponential Parameterization and Different Samplings.
Proceedings of the Computer Information Systems and Industrial Management, 2013

2012
Conditional extremals.
Math. Control. Signals Syst., 2012

Length Estimation for the Adjusted Exponential Parameterization.
Proceedings of the Computer Vision and Graphics - International Conference, 2012

2009
Robust Surface Fitting from Two Views using Restricted Correspondence.
J. Math. Imaging Vis., 2009

2008
Leapfrog for Optimal Control.
SIAM J. Numer. Anal., 2008

Asymptotics of Null Lie Quadratics in E<sup>3</sup>.
SIAM J. Appl. Dyn. Syst., 2008

Recognising Algebraic Surfaces from Two Outlines.
J. Math. Imaging Vis., 2008

2007
Continuous-Time Adaptive Critics.
IEEE Trans. Neural Networks, 2007

Geometry for robot path planning.
Robotica, 2007

Bézier curves and C<sup>2</sup> interpolation in Riemannian manifolds.
J. Approx. Theory, 2007

A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation.
Comput. Aided Geom. Des., 2007

2006
Quadratures and cubics in SO(3) and SO(1, 2).
IMA J. Math. Control. Inf., 2006

Surface Properties from N-Views of a Strictly Convex Solid.
Fundam. Informaticae, 2006

<i>C</i><sup>2</sup> spherical Bézier splines.
Comput. Aided Geom. Des., 2006

Duality and Riemannian cubics.
Adv. Comput. Math., 2006

2005
Matching Stochastic Algorithms to Objective Function Landscapes.
J. Glob. Optim., 2005

Null Riemannian cubics in tension in SO(3).
IMA J. Math. Control. Inf., 2005

2004
C1 Interpolation with Cumulative Chord Cubics.
Fundam. Informaticae, 2004

Noise Reduction in Photometric Stereo with non-distant Light Sources.
Proceedings of the International Conference on Computer Vision and Graphics, 2004

Smooth interpolation with Cumulative Chord cubics.
Proceedings of the International Conference on Computer Vision and Graphics, 2004

Shape Recovery of a Strictly Convex from n-Views solid.
Proceedings of the International Conference on Computer Vision and Graphics, 2004

04131 Abstracts Collection - Geometric Properties from Incomplete Data.
Proceedings of the Geometric Properties from Incomplete Data, 21.03. - 26.03.2004, 2004

2003
Nonlinearities and Noise Reduction in 3-Source Photometric Stereo.
J. Math. Imaging Vis., 2003

Interpolating Camera Configurations.
Proceedings of the Computer Analysis of Images and Patterns, 10th International Conference, 2003

2002
Quadratic Interpolation on Spheres.
Adv. Comput. Math., 2002

Denoising Images: Non-linear Leap-Frog for Shape and Light-Source Recovery.
Proceedings of the Geometry, 2002

External versus Internal Parameterizations for Lengths of Curves with Nonuniform Samplings.
Proceedings of the Geometry, 2002

A Piecewise Quadratic Approach to Single Image Shape from Shading.
Proceedings of the 16th International Conference on Pattern Recognition, 2002

Interpolating Sporadic Data.
Proceedings of the Computer Vision, 2002

2001
Length Estimation for Curves with epsilon-Uniform Sampling.
Proceedings of the Computer Analysis of Images and Patterns, 9th International Conference, 2001

2000
Length Estimation for Curves with Different Samplings.
Proceedings of the Digital and Image Geometry, 2000

The 2-D Leap-Frog: Integrability, Noise, and Digitization.
Proceedings of the Digital and Image Geometry, 2000

1998
Nonlinear corner-cutting.
Adv. Comput. Math., 1998

1996
Networks and closed balls.
Adv. Comput. Math., 1996

1989
Fitting maps of the plane to experimental data.
Math. Program., 1989


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