Centre for Mathematical Imaging Techniques (CMIT)
Welcome to CMIT
--- Together we
aim to get more
out of the same image.
Recent advances in image processing hardware and software as well as in wider use of
imaging technology have led to an explosive growth in the interdisciplinary field of
imaging science. To meet the demands from applications on high resolution and reliable
analysis tools, increasingly sophisticated mathematical models and theories emerge.
The Centre for Mathematical Imaging Techniques (CMIT) views the development of
mathematical techniques as a key for imaging science.
Relevant to the University of Liverpool and its associated institutions,
the ambitious objectives of
CMIT are three fold
(1) To highlight the University research strengths in Imaging Techniques,
Technologies and Applications;
(2) To promote research and development of
mathematical imaging techniques
at research frontiers
of various application disciplines;
(3) To facilitate the collaboration efforts of
various imaging groups
in developing mutually beneficial (mathematical) tools for
knowledge advancement.
We strive to reach the ideal equilibrium where applied mathematicians
tackle the real life cutting edge problems and scientists and engineers
make use of the state-of-the-art mathematical techniques.
We aim to achieve and maintain research excellence in
both mathematics and sciences. This is not another research centre
to provide consultancies or to encourage you to work with mathemticians only.
You are welcome to approach and collaborate with
any experts associated with CMIT
directly or we can put you in touch with them quickly.
In the University of Liverpool and neighbouring institutions,
various research units / departments / schools use and research on imaging technology; these include
- Department of Mathematical Sciences
- Department of Physics
- Department of Electronic and Electriclal Engineering
- Department of Computer Science
- Department of Engineering
- Institute of Ageing and Chronic Disease
- Institute of Translational Medicine
- Institute for Integrative Biology
- Institute for Infection and Global Health
- School of Earth and Ocean Sciences
- School of Dentistry
- Centre for Cellular Imaging
- Magnetic Resonance And Image Analysis Research Centre
------
- Royal Liverpool and Broadgreen University Hospitals NHS Trust
- The Walton Centre
- Clatterbridge Cancer Centre
★ CMIT Activities:
★ Funded CMIT Projects:
- Automatic CT Segmentation of the Lungs
Funded by EPSRC industrial studentship (2014-18 91K)
Industrial partner: Liverpool Heart and Chest Hospital (NHS)
- Development of automatic single image deblurring models and algorithms
Funded by EPSRC industrial studentship (2010-14 65K)
Industrial partner: St Pauls' eye unit, RLBUHT (NHS)
- Segmentation and co-registration models and algorithms for 4D CT with applications to
cancer imaging
Funded by EPSRC industrial studentship (2013-17 67K)
Industrial partner: Clatterbridge Cancer Centre
- Development of a diagnostic tool for tissue properties
EPSRC project (2013-2016, 1.3m)
Joint Multidisciplanary Project for Heathcare thru Maths with
University of Durham (J J Wu @ School of Engineering and Computing Sciences);
University of Heriot-Watt (Y H Chen @ School of Engineering & Physical Sciences);
University of Edinburgh (Pankaj Pankaj @ School of Engineering).
GoW
-
EPSRC Centre for New Mathematical Sciences Capabilities for Healthcare Technologies
EPSRC project (2015-2019, 6.2m by EPSRC 2.5m, UoL 2.1m and External 1.6m)
University of Liverpool (20 researchers) and University of Lancaster (1).
GoW
★ Other CMIT Projects:
- Synetic superimposition of dental 3D data from mono and dizygotic twins (registration of 3D surface shapes)
(Math Sciences and Dental School - R N Smith, G Townsend, K Chen and A H Brook)
- Automatic segmentation and reconstruction of organs in 3D
(Math Sciences and Royal hospital - D Gould, N Badshah and K Chen)
Results Demo:
and
,
,
- Enhancement and analysis of fluorescein angiography
(Clinial Sciences and Math Sciences -
Y L Zheng,
S Harding, K Chen and N Chumchob)
★ CMIT Invited Talks :
-
Invited Seminar at DAMTP, University of Cambridge: Variational Models for Image Restoration
with Applications in Deformable Registration,
29 Nov 2012.
-
Plenary Speaker: International Conference on Image Processing Theory, Tools & Applications (IPTA'12),
October 15-18, 2012,
Istanbul - Turkey.
-
Plenary Speaker:
Fourth International Conference on Numerical Algebra and Scientific Computing (NASC12),
Dalian, China.
October
20-24, 2012.
-
Plenary Speaker: International
Conference on Scientific Computing, 4-7 Jan 2012, Hong Kong, China.
-
Invited Speaker: Minisymposia in SIAM Conference on Imaging Sciences,
May 20-22, 2012. Philadelphia, USA.
-
Keynote Speaker:
3rd Annual International Conference on Computational Mathematics, Computational Geometry and Statistics (CMCGS 2014), Feb 3-4 2014, Singapore
(Photos on youtube)
-
Invited Speaker:
LMS meeting on "Sparse Regularisation for Inverse Problems"
(INV Follow-up Meeting),
Isaac Newton Institute for Mathematical Sciences, University of Cambridge.
7 Feb 2014
-
Invited Seminar at Mathematical Institute, University of Oxford:
Variational Segmentation Models for Selective Extraction of Features in An Image,
9 Oct 2014.
-
Invited Speaker at Center of Mathematical Sciences and Applications (Harvard University)
in a workshop on "Optimization in Image Processing" during
June 27-30, 2016.
★ Recent CMIT PhD Thesis:
- 2008:
Fast Iterative Methods for Variational Models in Image Segmentation
by Noor Badshah, PhD Thesis (2008).
Available in HCL Library
- 2009:
Fast Numerical Algorithms for High Order Partial Differential
Equations with Applications to Image Restoration Techniques
by Carlos Francisco Brito Loeza, PhD Thesis (2009).
Available in HCL Library
- 2010:
A Study of Effective Variational Models and Efficient
Numerical Methods for Image Registration
by Noppadol Chumchob, PhD Thesis (2010).
Available in HCL Library
- 2012:
Some Effective Numerical Methods for High Order Variational Models for
Image Restoration
by Fenlin Yang, PhD Thesis (2012)
- 2012:
PDE-based Image Segmentation and Image Denoising
by Jianping Zhang, PhD Thesis (2012)
- 2013:
Variational Models and Numerical Algorithms for Selective Image
Segmentation
by Lavdie Rada, PhD Thesis (2013) --- Download from HCL Library
- 2015:
Variational Models and Algorithms for Blind Image Deconvolution with Applications
by Bryan Williams, PhD Thesis (2015)
--- Download from HCL Library
- 2015:
Variational Models and Numerical Algorithms for Effective
Image Registration
Dr Mazlinda Ibrahim, PhD Thesis (2015)
★ CMIT Researchers:
[and Management Committee]
-
Prof Ke Chen
Dr Jianping Zhang
Dr Ladi Rada
Dr Fenlin Yang
Dr Hnong Chumchob
Dr Gabriela Czanner
Dr Yalin Zheng
Dr Carlos Brito
Dr Noor Badshah
Dr Bryan Williams
Dr Mazlinda Ibrahim
PhD Students:
Mr Mike Roberts
Mr Daoping Zhang
Ms Jin Zhang
Mr Abdul Jumaat
Mr Jack Spencer
Mr Tony Thompson
★ CMIT Visitors:
Prof Michael Hintermuller (Berlin), Dr Yiqiu Dong (Copenhagen), Prof Elena Piccolomini (Bologna), Dr Fabiana Zama (Bologna),
Prof Bogdan Matuszewski (Preston), Dr Li Sun (Lanzhou),
Dr Behzad Ghanbari (Iran), Dr Gohar Ali (Pakistan),
Prof Ronald Lui (Hong Kong), Dr Bo Dong (Dalian), Prof Faisal Fairag (Saudi Arabia),
Prof Suhua Wei (Beijing),
Prof Xia Zhao (Chang-sha),
Dr Xue-Feng Yang (Dalian)
★
CMIT Interests
★ CMIT featured in the News
2009:
Research
Intelligence
2011:
Personalised Health Theme
2013:
University press (2013) and
HWU News
★ CMIT Students Awards ★
- Lavdie Rada, 1st Prize, Faculty of Science and Engineering Poster Day (March 2011)
- Bryan Williams, Winner, Best Poster, London Mathematical Society (LMS) meeting on Inverse Problems at
Leeds (Sept 2014)
- Jack Spencer, 1st Prize, Departmental Best Year 2 Poster Winner (April 2015)
★ CMIT Publications
and Software
-
IEEE Transactions on Medical Imaging
(2015),
``Automated Retinal Vessel Segmentation Using Infinite Perimeter Active Contour
Model with Hybrid Region Information",
by Yitian Zhao, Lavdie Rada, Ke Chen, Simon P Harding and Yalin Zheng,
IEEE Trans. Medical Imaging (TMI), (2015), Vol. 34 (9), pp.1797-1807.
DOI: 10.1109/TMI.2015.2409024
-
Inverse Problems and Imaging (IPI)
(2014),
"A Local Information Based Variational Model for Selective Image Segmentation",
by Jianping Zhang, Ke Chen, Bo Yu and Derek Gould,
vol. 8 (1), pp. 293-320.
[See Local PDF]
-
International Journal of Computer Mathematics (2013),
"Variational Model for Removal of Combined Additive and
Multiplicative Noise",
by Noppadol Chumchob, Ke Chen and Carlos Brito,
Vol 90(1), pp.140-161.
[See Local PDF]
-
International Journal of
Numerical Analysis and Modeling (2012),
"Homotopy Method for Image Restoration Combining Total Variation
Minimization and a Second-Order Functional", by
F L Yang, Ke Chen and Bo Yu,
Vol 9 (4), pp.831-851.
[PDF here]
-
SIAM Journal on
Multiscale Modeling & Simulation (2011),
``A fourth order variational image registration model and
its fast multigrid algorithm",
by Noppadol Chumchob, Ke Chen and Carlos Brito,
Vol 9 (1), pp.89-128.
[PDF]
-
SIAM Journal on Imaging Sciences (2010), ``Multigrid Algorithm for High
Order Denoising'',
by Carlos Brito and Ke Chen, Vol 3 (3), pp.363-389
[PDF]
-
IEEE Transactions on Image Processing
(2010), ``On high order denoising
models and fast algorithms for vector-valued images'',
by Carlos Brito and Ke Chen, Vol 19 (6), pp.1518-1527
[PDF]
-
SIAM Journal on Scientific Computing (2010),
``A Multilevel Algorithm for Simultaneously Denoising and Deblurring Images'',
by Raymond H Chan and Ke Chen, Volume 32, Issue 2, pp. 1043-1063
[PDF]
-
IEEE Transactions on Image Processing
(2009),
``On Two Multigrid Algorithms for Modelling Variational Multiphase
Image Segmentation,
by Noor Badshah and Ke Chen, Vol. 18(5), pp.1097-1106
[PDF]
See here for more.
★ CMIT Photos:
★ CMIT
Committee
and
Representatives
(details ...)
Dr Colin Baker
Prof Ke Chen
Prof Andy Cossins
Prof Peter Giblin
Dr John Fenwick
Prof Simon Harding
Prof John Neoptolemos
Prof Paul Nolan
Prof Jason Ralph
Prof Alexei Tepikin
Prof Peter Weightman
(new!)