The University of Western Australia

Dr Tomasz Popiel

Lecturer/Research Associate
Centre for Mathematics of Symmetry and Computation

Contact details

Address

Centre for Mathematics of Symmetry and Computation
The University of Western Australia (M019)
35 Stirling Highway
CRAWLEY WA 6009
Australia

Phone

6488 3389

Fax

6488 1028

Email

tomasz.popiel@uwa.edu.au

Location

Room 1.13, Mathematics Building, Crawley campus

Qualifications

BSc PhD W.Aust.

Key research

Geometrical methods of interpolation in Riemannian manifolds and their engineering applications

Estimation of proportions of elements in finite classical groups

Publications

Refereed journal articles

1. Noakes, L. & Popiel, T., `Geometry for robot path planning'. Robotica 25 (06) (2007), 691-701.

2. Popiel, T. & Noakes, L., `Bézier curves and C2 interpolation in Riemannian manifolds'. Journal of Approximation Theory 148 (2) (2007), 111-127.

3. Popiel, T. & Noakes, L., `Elastica in SO(3)'. Journal of the Australian Mathematical Society 83 (1) (2007), 105-125.

4. Popiel, T., `Higher order geodesics in Lie groups'. Mathematics of Control, Signals, and Systems 19 (3) (2007), 235-253.

5. Popiel, T., `On parametric smoothness of generalised B-spline curves'. Computer Aided Geometric Design 23 (8) (2006), 655-668.

6. Noakes, L. & Popiel, T., `Quadratures and cubics in SO(3) and SO(1,2)'. IMA Journal of Mathematical Control and Information 23 (4) (2006), 463-473.

7. Popiel, T. & Noakes, L., `C2 spherical Bézier splines'. Computer Aided Geometric Design 23 (3) (2006), 261-275.

8. Noakes, L. & Popiel, T., `Null Riemannian cubics in tension in SO(3)'. IMA Journal of Mathematical Control and Information 22 (4) (2005), 477-488.

Other publications

9. Popiel, T., Geometrically-defined curves in Riemannian manifolds. PhD Thesis, The University of Western Australia, 2007.

Funding received

UWA Research Development Award (2009)

Research profile

Research profile and publications