ITEE Ph.D confirmation seminar: Emanuel Zelniker, 03.00PM, Wed 16 Apr 2003

Accurate Circle-Centre Estimation and Related Problems

Speaker: Emanuel Zelniker, ITEE

When: 03.00PM, Wednesday 16 Apr 2003

Venue: 78-420

Host: Vaughan Clarkson

Abstract:

  The accurate estimation of circle-centre is a problem which has
  occupied the minds of scientists and engineers for nearly fifty
  years.  Circle-centre estimation is important in such diverse fields
  as archaeology, astronomy, microwave engineering, robotics and
  automation, mining, geology and industrial quality control.  The
  particular motivation in this case is the tracking of the position
  and orientation of a ball in 3-dimensional space.
 
  In this talk, the statistical properties of a number of popular
  circle-centre estimators are reviewed, and new results are
  presented.  It is shown that the widely used estimator of Delogne
  (also variously attributed to Kasa or Coope and known as linear
  least squares or LLS) may not have a mean or covariance for small
  sample sizes.  Surprisingly, such a statistical analysis has not
  been carried out before.  We show that, under low-noise conditions,
  the bias of the LLS estimator vanishes and it approaches statistical
  efficiency.  Furthermore, an interesting interpretation of the
  Maximum Likelihood Estimator (MLE) in terms of convolution is
  presented.
 
  Future directions for research are also discussed.  Among these are:
  the extension of this work to sphere fitting, the estimation of
  orientation of spherical objects in 3-dimensional space, an
  investigation into the link between the MLE and another
  convolutional technique, namely the Phase-Coded Annulus (PCA), and
  generalisation of the LLS analysis to other related statistical
  estimators, including those for geo-location, camera calibration and
  optical flow.

Biography:

  Emanuel Zelniker has received the degree of Bachelor of Electrical
  Engineering from the University of Queensland in 2001.  He is
  currently undertaking a Ph.D. at the University of Queensland in the
  area of signal and image processing titled 'Accurate Circle-Centre
  Estimation with related Applications'.  His interests in the signal
  and image processing field are in detection and estimation
  techniques and tracking.

Type:

Ph.D confirmation

Contact:

Vaughan Clarkson, seminar host (v.clarkson@itee.uq.edu.au)
or Guido Governatori (ITEE seminar co-ordinator) (guido@itee.uq.edu.au)

ITEE seminar web page: http://www.itee.uq.edu.au/~seminar

[All seminars]