Book |
Current
Interests |
CV |
Publications |
MyCopy Version of the
Book |
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If
your university has full electronic access, our book is available
online at Springer. You will then also have the option to purchase
a grayscale printed version of the text, bound within a colour
softcover, for only 24.95 (currency varies but price doesn't seem to!).
Since I didn't include that many colour figures, this can be an
affordable way to have your own copy of this book. Pop on a plastic
reading cover, and it should stay unbattered for many years. Alternatively, if you're a bit persistent, you can download the pdf chapter by chapter, glue them all together, crop the margins off, and then have a copy of the book that you can view happily on your Kindle. Works for me! |
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Our Book |
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Statistical
Models of Shape: Optimisation and Evaluation Rhodri Davies, Carole Twining and Chris Taylor |
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Published
by Springer.
This book is intended to be a comprehensive and up-to-date account of
the optimisation approach to groupwise correspondence for shapes, with
particular focus on the Minimum Description Length approach. It
provides an in-depth treatement of the whole field, from the basics of
statistical shape models, to the most recent work on fluid-based
regularization on the shape surface (IPMI 2007). As well as a complete
mathematical treatment, it also includes extensive details on
implementation, with pseudocode provided for the most important
algorithms. The
question of evaluating such models in the absence of ground truth data
is also included. At
around 300 pages, with 9 chapters and 2 mathematical appendices (you
know me chaps, I had to include those!), this is intended to be THE
work on the subject. Tired of trying to find all those old papers which
contained bits and pieces of what we were doing, tired of trying to
make sense of the historical development of our ideas -- you need worry
no longer! Soon you'll be able to go to the Springer website, and order
a nice copy for yourself . As a principal author,
I can highly recommend it! |
2016 |
LATEST: Principal Autoparallel Analysis: Data Analysis in Weitzenbock Space. Joint work with Professor Stephen Marsland, Massey NZ. Steve presented a talk on this at the recent ICML (International Conference on Machine Learning, New York, June 19th-24th 2016) workshop on Geometry in Machine Learning (GIMLI). Slides available here. A related paper is also available here. |
2015 |
2014 |
2013 |
2012 |
In Preparation: Data-Driven Evaluation of Non-Rigid Registration via Image Modelling: Does what it says on the tin, how to evaluate registration without ground-truth. Preliminary version of this work can be found HERE. We have done quite a bit more work since then, and it's turned out rather well. Watch this space. |
Discrete Differential Geometry: The
Non-Planar Quadrilateral Mesh. Carole Twining and Stephen Marsland Abstract: We consider the problem of
constructing a discrete differential geometry defined on non-planar
quadrilateral meshes. While such meshes are used in applications such
as computation for electromagnetism, fluid mechanics, and image
analysis, the majority of analysis has focused on triangular meshes. We
consider two approaches: discretizing the tensor calculus, and a
discrete, mesh version of differential forms. Whilst these two
approaches are equivalent in the continuum, we show that this is not
true in the discrete case. Nevertheless, we show that it is possible to
construct mesh versions of the Levi-Civita connection (and hence the
tensorial covariant derivative and the associated covariant exterior
derivative), the torsion, and the curvature. We show how discrete
analogs of the usual vector integral theorems are constructed, in order
that the appropriate conservation laws for physical theories can be
cast in a form that holds exactly on the mesh, rather than only as
approximations to a continuum limit. We demonstrate the success of our
method by constructing a mesh version of classical electromagnetism,
and discuss how our formalism could be used to deal with other physical
models, such as fluids. Phys. Rev. E 85, 066708 (2012)
–
Published
June 27, 2012. |
2011 |
Metrics, Connections, & Correspondence: The Setting for Groupwise Shape Analysis Carole Twining, Stephen Marsland, and Chris Taylor Abstract: This paper considers the general problem of the analysis of groups of shapes, and the issue of correspondence in that context. Many papers have been published on the topic of pairwise shape distances and pairwise shape similarity measures. However, most of these approaches make the implicit assumption that the methods developed for pairs of shapes are then sufficient when it comes to the problem of analyzing groups of shapes. In this paper, we consider the general case of pairwise and groupwise shape analysis within an infinite-dimensional Riemannian framework. We show how the issue of groupwise or pairwise shape correspondence is inextricably linked to the issue of the metric. We discuss how data-driven approaches can be used to find the optimum correspondence, and demonstrate how different choices of objective function lead to different groupwise correspondence, and why this matters in terms of groupwise modelling of shape. Presented as an oral at EMMCVPR2011. This paper looks at what correspondence means in the context of infinite-dimensional Riemannian geometry, and how the connection comes in. The take-home message is that you can't really just forget about the correspondence, or decide how to assign it beforehand, without having undesirable effects when it comes to analysing groups of shapes. It tries to make a link between our intuitive notions of shape similarity, shape difference, and shape change, and the concept of a connection in Riemannian geometry. Note the use of connection here, whereas the more usual focus is on the metric, then the Levi-Civita connection for that metric comes along for free. We are trying to say that the connection itself matters, because that is where the correspondence actually comes into the maths. Proceedings published in Lecture Notes in Computer Science, Springer, volume 6819, Boykov, Y.; Kahl, F.; Lempitsky, V.; Schmidt, F.R. (Eds.), pages 399-412. |
Carole J. Twining,
Christopher J. Taylor, "Specificity: A Graph-Based Estimator of
Divergence," IEEE Transactions on Pattern Analysis and Machine Intelligence, Volume 33, Issue 12, pages 2492 - 2505, 2011. This is a much-expanded version of the preliminary work HERE. The earlier work just considered the very simplest case, we have expanded on this to do the interesting ones as well! |
2009-2010 |
Rhodri H. Davies,
Carole J. Twining, Tim Cootes, and Chris Taylor, Building 3D Statistical Shape Models by Direct Optimisation, IEEE Transactions on Medical Imaging, Accepted for publication, Pdf available HERE |
Timothy F. Cootes,
Carole J. Twining, Vladimir S. Petrović, Kolawole O.
Babalola, and Christopher J. Taylor, Computing Accurate Correspondences Across Groups of Images, IEEE Transactions on Pattern Analysis and Machine Intelligence, Accepted for publication, Abstract available HERE |
2008 |
Rhodri H. Davies,
Carole J. Twining, and Chris Taylor, Groupwise surface correspondence by optimization: Representation and regularization, Medical Image Analysis, Volume 12, Issue 6, December 2008, Pages 787-796 Special issue on information processing in medical imaging (IPMI) 2007. |
Carole J. Twining and Stephen Marsland Constructing an atlas for the diffeomorphism group of a compact manifold with boundary, with application to the analysis of image registrations Journal of Computational and Applied Mathematics, Volume 222 , Issue 2 (December 2008), Pages 411-428. |
Stephen Marsland, Carole J. Twining and Chris J. Taylor A minimum description length objective function for groupwise non-rigid image registration Image and Vision Computing, Volume 26, Issue 3, 3 March 2008, Pages 333-346 |
T.F. Cootes, C.J. Twining, K.O. Babalola and C.J. Taylor Diffeomorphic statistical shape models Image and Vision Computing, Volume 26, Issue 3, 3 March 2008, Pages 326-332. |
2007 |
Carole J. Twining,
Rhodri H. Davies, Christopher J. Taylor Non-parametric Surface-Based Regularisation for Building Statistical Shape Models Talk presented at IPMI 2007, Kerkrade, the Netherlands. LNCS 4584 Springer 2007, ISBN 978-3-540-73272-3, pages 738-750. |
Rhodri Davies,
Carole Twining, Tomos Williams, Chris Taylor Group-wise Correspondence of Surfaces Using Non-parametric Regularisation and Shape Images Proceedings of ISBI 2007 |
Vladimir
Petrovic, Tim Cootes, Carole Twining, Chris Taylor Simultaneous registration, segmentation and modelling of structure in groups of medical images Proceedings of ISBI 2007 |
2006 |
Carole
Twining and
Chris Taylor Specificity as a Graph-Based Estimator of Cross-Entropy Proceedings of BMVC 2006, Edinburgh, Volume 2, page 459-468. Here. |
V. S. Petrovic, T.
F. Cootes, C. J. Twining and C. Taylor, Automatic Framework for Medical Image Registration, Segmentation and Modeling Proceedings of Medical Image Understanding and Analysis (MIUA), 2006. Vol. 2, pp.141-5. |
R.
S. Schestowitz, C. J. Twining, V. S. Petrovic, T. Cootes, B. Crum and
C. Taylor, Non-Rigid Registration Assessment Without Ground Truth, Proceedings of Medical Image Understanding and Analysis (MIUA), 2006. Vol. 2, pp.151-5. |
C. J. Twining, T. F. Cootes, S.
Marsland, V. S. Petrovic, R. S. Schestowitz and C.J. Taylor, Information-Theoretic Unification of Groupwise Non-Rigid Registration and Model Building, Proceedings of Medical Image Understanding and Analysis (MIUA), 2006. Vol. 2, pp.226-230. |
Davies, R.H.; Twining, C.J.;
Taylor, C.J.; Consistent spherical parameterisation for statistical shape modelling Proceedings of. IEEE International Symposium on Biomedical Imaging (ISBI) 2006. |
R.
Schestowitz, C. Twining, T. Cootes, V. Petrovic, C. Taylor, W. Crum, Assessing the Accuracy of Non-Rigid Registration With and Without Ground Truth, Proceedings of. IEEE International Symposium on Biomedical Imaging (ISBI) 2006. |
2005 |
Carole J. Twining,
Tim Cootes, Stephen Marsland, Vladimir Petrovic, Roy Schestowitz, and
Chris J. Taylor A Unified Information-Theoretic Approach to Groupwise Non-Rigid Registration and Model Building Presented at IPMI 2005 |
Carole
Twining, Stephen Marsland, and Chris Taylor Groupwise non-rigid registration of medical images: the minimum-description length approach Presented at the European Conference on Mathematical and Theoretical Biology (ECMTB) 2005. |
T.F. Cootes, C.J. Twining,
V.Petrovic, R.Schestowitz and C.J. Taylor, Groupwise Construction of Appearance Models using Piece-wise Affine Deformations, Proceedings of British Machine Vision Conference (BMVC), 2005, vol. 2, pp.879-888. |
2004 |
Carole J. Twining,
Stephen Marsland, and Chris Taylor Groupwise Non-Rigid Registration: The Minimum Description Length Approach Presented at BMVC 2004. |
Tim Cootes, Carole
Twining, and Chris Taylor Diffeomorphic Statistical Shape Models Presented at BMVC 2004. |
Carole
Twining and Stephen Marsland A Unified Information-Theoretic Approach to the Correspondence Problem in Image Registration International Conference on Pattern Recognition, Cambridge, U.K. 2004. |
Tim
Cootes, Stephen Marsland, Carole Twining, Kate Smith, and Chris Taylor Groupwise Diffeomorphic Non-Rigid Registration for Automatic Model Building Presented at European Conference on Computer Vision, Prague, 2004. |
Stephen
Marsland and Carole Twining, Spline Interpolants and the Registration & Analysis of Medical Images, Talk presented in the mini-symposium: MS2:Metrics, Geodesics, and Large Deformation Diffeomorphisms in (Medical) Image Analysis at the SIAM Conference in Imaging Science (IS04), Salt Lake City, 2004. |
Stephen Marsland
and Carole Twining Constructing Diffeomorphic Representations for the Groupwise Analysis of Non-Rigid Registrations of Medical Images IEEE Transactions on Medical Imaging, Volume 23, Issue 8, Aug. 2004 Page(s):1006 - 1020. |
2003 |
Stephen Marsland,
Carole Twining and Chris Taylor Groupwise Non-Rigid Registration using Polyharmonic Clamped-Plate Splines Presented at MICCAI 2003, Montreal, Canada, 15th-18th Novenber 2003. Proceedings of MICCAI 2003, Part II, Lecture Notes in Computer Science (LNCS), volume 2879, pages 771-779, Springer-Verlag, 2003. |
Carole Twining and
Stephen Marsland Constructing Diffeomorphic Representations of Non-Rigid Registrations of Medical Images Talk presented at Information Processing in Medical Imaging (IPMI) , Ambleside 20th-25th July, 2003. Runner-Up for the Francois Erbsmann Prize Proceedings of Information Processing in Medical Imaging (IPMI 2003) , Lecture Notes In Computer Science (LNCS) 2732, eds. C. Taylor and J. A. Noble, Springer, pages 413-425, 2003. |
Stephen Marsland and
Carole Twining Constructing Data-Driven Optimal Representations for Iterative Pairwise Non-Rigid Registration Talk presented at the Second International Workshop on Biomedical Image Registration (WBIR), Philadelphia, June 23th-24th, 2003. Lecture Notes in Computer Science (LNCS) 2717, eds. J. C. Gee, J. B. Antoine Maintz and M. W. Vannier, pages 50-60, Springer, 2003. |
Carole Twining and
Stephen Marsland Groupwise and Local Analysis of Image Warps Talk presented at the 22nd Leeds Annual Statistics Workshop, 8th-10th July, Leeds 2003. |
Carole Twining and
Stephen Marsland A Non-Euclidean Metric for the Classification of Variations in Medical Images Talk presented at Medical Image Understanding and Analysis, Sheffield, 10th-11th July, 2003. |
2002 |
Carole Twining, Stephen Marsland and Chris Taylor. Measuring Geodesic Distances on the Space of Bounded Diffeomorphisms . Talk presented at BMVC2002 , the British Machine Vision Conference, Cardiff, 2nd-5th September 2002. |
Stephen Marsland and Carole Twining. Clamped-Plate Splines and the Optimal Flow of Bounded Diffeomorphisms. Talk presented at LASR2002 , the Leeds Annual Statistics Research Workshop, Leeds, 3rd-5th July 2002. |
This aim of this project is to apply the model-based methods of image analysis (ASM/AAM) developed in the Wolfson Unit to the problem of behavioural characterisation of animals in image sequences, such as the rat in the above image. Click HERE for more details.
Carole Twining, Stephen Marsland and Chris
Taylor. Measuring Geodesic Distances on the Space of
Bounded Diffeomorphisms . To be presented at BMVC2002 , the British
Machine Vision Conference, Cardiff, 2nd-5th September 2002. |
Stephen Marsland and Carole Twining.
Clamped-Plate Splines and the Optimal Flow of Bounded Diffeomorphisms.
Talk presented at
LASR2002 , the Leeds Annual Statistics Research Workshop, Leeds,
3rd-5th July 2002. |
Davies, Rh.H., C.J. Twining, T.F. Cootes,
J. C.
Waterton and C.J. Taylor. Constructing Optimal 3D Statistical
Shape Models. To appear in Medical Image Analysis and
Understanding (MIUA). 2002.
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Davies, Rh.H., T.F. Cootes, C.J. Twining,
and C.J. Taylor. Constructing Optimal Statistical Shape Models
for Automatic Image Segmentation in EPSRC PREP 2002.
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Davies, Rh.H., C.J. Twining, P. Daniel
Allen, T.F. Cootes, and C.J. Taylor. Building Optimal 2D
Statistical Shape Models . Invited paper. Image and Vision
Computing (IVC), In Press.
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Davies, Rh.H., C.J. Twining, T.F. Cootes,
J. C.
Waterton and C.J. Taylor. 3D Statistical Shape Models Using
Direct Optimisation of Description Length . Presentation at 7th
European Conference
on Computer Vision (ECCV). vol 3, p3-21, 2002.
Awarded "Best Paper" prize. |
Davies, Rh.H., T.F. Cootes, C.J. Twining,
J. C.
Waterton and C.J. Taylor. 3D Statistical Shape Models for
Automatic Segmentation of MR Images . in 10th Scientific Meeting
and Exhibition of the International Society for Magnetic Resonance in
Medicine (ISMRM). 2002.
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Rh. Davies, C. J. Twining, T. F. Cootes, J.
C. Waterton and C. J. Taylor, A Minimum Description Length
Approach to Statistical Shape Modelling, To appear in
IEEE Transactions on Medical Imaging , IPMI 2001 Special Issue.
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Carole J. Twining and Chris J. Taylor
The Use of Kernel Principal Component Analysis to Model Data
Distributions,
To appear in Pattern Recognition Volume 36, Issue 1, January 2003, Pages 217-227. |
Rhodri H. Davies, Tim F. Cootes, Carole J.
Twining and Chris J. Taylor An Information
Theoretic Approach to Statistical Shape Modelling,
Talk at BMVC 2001, September 10th-13th, University of Manchester. Awarded the Image Metrics prize for an outstanding contribution to model based computer-vision |
C. J. Twining and C. J. Taylor
Kernel Principal Component Analysis and the construction of non-linear
Active Shape Models,
Talk at BMVC 2001, September 10th-13th, University of Manchester. |
C. J. Twining, C. J.
Taylor and P. Courtney
Robust Tracking and Posture Description
for Laboratory Rodents using Active Shape Models,
'Behavior Research Methods, Instruments & Computers' , Measuring Behavior Special Issue, Volume: 33 Number: 3 Page: 381 – 391, August 2001. |
C. Twining, C. Taylor, P. Courtney and C.
Dourish Characterising Behavioural Phenotypes using
Automated Image Analysis,
Talk given at Measuring Behavior 2000 , Nijmegen. |
Old Stuff |
P-M. Binder, D. Y. K. Ko, A. L. Owczarek
and C.
J. Twining Ordered Cellular Automata in One Dimension J.
Physique
I 3 (1993) p21-28.
|
C. J. Twining and P-M. Binder Enumeration
of Limit Cycles in Non-Cylindrical Cellular Automata J. Stat.
Phys. 66 (1992) p 385-401.
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C. J. Twining The Limiting Behaviour
of Non-Cylindrical ELementary Cellular Automata Complex Systems
6 No. 5 (1992) p 417.
Link to Abstract
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P-M. Binder, C. J. Twining and D.
Sherrington Phase-Space Study of Bistable Cellular Automata Complex
Systems 5 No. 2 (1991) p 127-137.
Link to Abstract
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C. J. Twining Low-Temperature
Expansion of the Planar Spin Model J.Phys. A Math. Gen. 21
(1988) p 1735-1738.
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Notices of the American Mathematical
Society.
http://www.ams.org/notices/
|
For those weirdoes (like me) who actually like mathematics. |
The On-Line Encyclopedia of Integer
Sequences.
http://www.research.att.com/~njas/sequences/Seis.html |
Numbers, numbers everywhere...... |
Eric Weisstein's World of Mathematics.
http://mathworld.wolfram.com/letters/P.html |
A great reference if you don't know your beta function from your gamma function. |
Eric's Treasure Troves of Science.
http://www.treasure-troves.com/ |
Physics, Chemistry, Astronomy, The Game of Life..... |
Mathematical Programming Glossary by Harvey
J. Greenberg.
http://www-math.cudenver.edu/~hgreenbe/glossary/glossary.html |
Useful stuff |
The Data Analysis BriefBook: Covers
statistics, computing, analysis and related fields. A useful reference.
http://www.cern.ch/Physics/DataAnalysis/BriefBook |
Trust good 'ole CERN to give us all that stats stuff. |
Kalman Filter: A good page of links and
resources.
http://www.cs.unc.edu/~welch/kalman/index.html |
If you don't know what one is, then you're not one of us..... |
Support Vector Machines: Includes a MATLAB
toolbox, tutorials and links.
http://www.isis.ecs.soton.ac.uk/resources/svminfo/ |
This stuff is really cool and sexy..... |
Science, engineering and medical research:
Online resources and news.
http://www.scicentral.com/index.html |
What gene did they find today.... |
CVonline: The Evolving,
Distributed, Non-Proprietary, On-Line Compendium of Computer Vision at
Edinburgh.
The Face
Recognition Home Page.
MIT Media Lab: Vision
and Modelling Group.
Visual Dynamics Research
Group: Dept. of Engineering Science, University of Oxford.
School of Computer Studies,
University of Leeds.
Michael J.
Black: Xerox Palo Alto Research Center.
Ritsmeikan
Computer Vision Laboratory.
SAMBA, Norwegian Computing Center
Yachida
Laboratory, Osaka University.
Computer Vision Laboratory, University
of Pavia.
Phone:
Internal: Extension 55140
External: 0161 275 5140
Physical
Location:
Room G526A, Ground Floor,
Stopford Building (University Medical School), Oxford Road.
Postal
Address:
Imaging Science and
Biomedical Engineering (ISBE)
Stopford Building
University of Manchester
Oxford Road
Manchester
M13 9PL.