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    Dear Biomch-L subscribers,

    The item below is cross-posted from the Usenet newsgroup
    sci.image.processing. This technology for 3-D tracking of rigid
    bodies from gray-scale video images seems to be developing very
    rapidly. I sure hope that Oxford Metrics, Motion Analysis
    Corporation and their likes are paying attention. But, they
    probably are already (in secret) working on even more
    sophisticated methods... :-).

    -- Ton van den Bogert, Biomch-L moderator
    =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=
    Newsgroups: sci.image.processing
    From: sjreeves@eng.auburn.edu (Stan Reeves)
    Subject: object tracking (summary)
    Organization: Auburn University Engineering
    Date: Tue, 26 Jan 1993 17:07:14 GMT


    I recently posted the following question:

    Beginning in January, I will be leading a senior design project that
    involves tracking a single rigid object in an image sequence. Can
    anyone suggest some standard algorithms for accomplishing this? I
    could dream up several approaches, but I would like to point the
    students to some references on techniques that are commonly used for
    this type of problem. I'm hoping to have them check out more than
    one approach, so a variety of responses would be great. Any help is
    appreciated.

    Here is a summary of the responses I got:

    >From olli@ee.oulu.fi Wed Dec 30 00:07:12 1992

    You leave many questions open.
    Do you want to do the tracking with 6-dof or just 2-dof?
    How much computation is allowed? Is the camera system
    stationary? What kind of camera system is used?
    Is the object known?
    Anyway, the 2-dof problem is trivial, the 6-dof case is
    much more than 3-times more difficult.

    Obviously, your purpose is not to produce a working system for
    a real environment, but a paper of some sort.
    Thus, take a look at the following paper:
    Broida, Chandrashekhar, Chellappa: Recursive 3-D Motion Estimation...
    IEEE Transactions on Aerospace and Electronic Systems, vol 26, no 4, 1990.
    The references give you an idea of the published work in this area,
    in particular, read the reference 15 (Dickmanns) and its companion article.

    You should be aware of that the approaches of most papers in this area
    do not work very well...


    >From whb@castle.edinburgh.ac.uk Wed Dec 30 05:38:11 1992

    I read your article with interest. We have implemented bespoke object tracking
    algorithms with some success here. The objects are represented by rectangular
    bounding boxes and then matched by proximity, direction, speed etc. to a
    list of "historical objects". The matched objects are then fed to an object
    tracking stage.
    The actual tracking is simple compared to identifying the change on which
    the objects should be based. A simple pixel difference is easily fooled by
    changes in ambient lighting, shadows etc. so we have devised a more
    sophisticated method. I feel that this stage is much harder than the object
    tracking itself.


    >From makrisna@convex1.TCS.Tulane.EDU Wed Dec 30 09:07:50 1992

    a better newsgroup will be comp.ai.vision. but i happen to have a lot of
    reference on this subject. a good place to start will be IEEE PAMI. there
    are in general two approaches. the first one is based on computing the
    optical flow and the second one is a model based approach. it will depend
    on what you are trying to do. the general problem of computing position,
    velocity, acceleration etc. for all six degrees of freedom is quite
    difficult. but if you are just interested in the x, y, and z position of
    a simple polygon or polyhedra, there are quite a few ways of doing it.
    i am trying to locate a survey on this subject by Thompson in one of the
    PAMI issues. i will send you the reference as soon as i find it. if you
    come across work done by aggarwal at UT Austin, Huang and Illinois, Horn
    at MIT and Chellappa and Broida at USC that will be a good start. best of
    luck. this is a friend's account but you can send any further questions
    here.

    >From olli@ee.oulu.fi Wed Dec 30 09:31:40 1992

    >>My follow-up clarification via email:
    > I only need two directions --
    > the horizontal component parallel to the image plane and the component
    > in the direction of the camera

    You are going to find m-a-n-y references!
    And your problem can be solved quite
    straightforwardly and reliably (as
    long as the camera is stationary with
    respect to the background).
    A good source to start is the
    proceedings of the IEEE workshop on
    visual motion, 1991.
    (I don't want to give too accurate
    pointers, as this seems to be a somekind
    of student project. However, simple
    ideas work best...).

    And there are working systems (almost?) for your
    purpose. One of the best I have seen is made by
    Imago Machine Vision Inc,
    1750 Courtwood Crescent, Suite 300
    Ottawa, Ontario K2C 2B5 Canada
    Fax: (613) 226-7743
    Tel: (613) 226-7890

    (you could ask for their brochure and
    video tape)

    >From tom@vexcel.com Wed Dec 30 10:49:11 1992
    I have been working on a project to track arctic ice in image
    pairs for about 3 years now. We have developed an automated system
    to perform this task.

    The algorithms that we use for tracking of the ice are of 2
    different variations. The first is a Psi-S algorithm which
    first thresholds the images, finds the boudaries of features
    within the thresholded images, and then plots the feature boundaries
    using a Psi-S convention. The rigid bodies can be found by correllating
    the features Psi-S curves which will match in shape but have an
    amplitude variation which indicates rotation of the feature.

    The second, (and more commonly used) technique is an area
    correllation algorthm which finds correllation peaks between
    patches of the two images. This technique breaks down when
    there is a lot of rotation of the features.

    >From hallinan@hrl.harvard.edu Wed Dec 30 12:14:21 1992

    Horn and Schunk (sp?) have an article in "Artificial Intelligence',
    1981,
    that is probably the basic reference for computing optical flow, the
    first step in your project.

    >From danm@cs.ubc.ca Wed Dec 30 15:32:20 1992

    (Quoting a previous request for references)

    Date: Fri, 10 Apr 92 10:35:34 SST
    From: atreyi@iss.nus.sg (Atreyi Kankanhalli)
    Subject: Object Tracking References

    I had asked for references on "Object Tracking in Image Sequences" a while
    ago on this list. I am now posting a compiled set of references which I
    gathered from the responses.

    ***** References on object tracking *****

    1. S.M. Haynes, Ramesh Jain, "A Qualitative Approach for Recovering Relative
    Depths in Dynamic Scenes", Proc. of Workshop on Computer Vision, Miami Beach,
    FL, Nov.30-Dec.2, 1987.

    2. I.K. Sethi, Ramesh Jain, "Finding Trajectories of Feature Points in a
    Monocular Image Sequence", IEEE Trans. on PAMI, Vol.9, No.1, 1987, pp.56-73.

    3. Michal Irani, Benny Rousso, Shmuel Peleg, "Detecting and Tracking Multiple
    Moving Objects Using Temporal Integration", to appear in European Conference
    on Computer Vision, 1992.

    4. I.K. Sethi, H. Cheung, N. Ramesh, Y.K. Chung, "Automatic Detection of Motion
    of Interest for Surveillance", Proc. International Conference on Automation,
    Robotics and Computer Vision, Sept. 1990, pp.227-231.

    I found some additional references in the two volumes

    "Computer Vision: Principles" and "Computer Vision: Advances and Applications"
    ed. Rangachar Kasturi, Ramesh Jain, IEEE Computer Society Press Tutorial, 1991.

    I would appreciate any updates to this list.

    Atreyi Kankanhalli
    Institute of Systems Science
    National University of Singapore
    Kent Ridge, Singapore 0511

    Email: atreyi@iss.nus.sg


    ----------------------------------------------------------------------

    My supervisor David Lowe has published his work in model based motion
    tracking. See "Fitting Parameterized Three-Dimensional Models to Images",
    David G. Lowe, in IEEE Transactions on Pattern Analysis and Machine
    Intelligence, Vol.13,No.5,May 1991.

    Donald Gennery also published results for model based tracking in
    "Visual Tracking of Known Three-Dimensional Objects", International Journal
    of Computer Vision,7:3, 243-270 (1992).

    See also Azriel Rosenfeld's survey of computer vision published annually
    in CVGIP:Image Understanding, usually in May.


    Hope this helps.

    Dan McReynolds
    University of British Columbia
    Dept. of Computer Science

    >From: spl@szechuan.ucsd.edu (Steve Lamont)

    See Jain, Anil K., _Fundamentals of Image Processing_, ISBN 0-13-336165-9

    Jain covers this subject quite well in Chapter 9 "Image Analysis and
    Computer Vision." See, in particular, section 9.12, pp. 400-406,
    Scene Matching and Detection.

    I use an adaptation of the correlational techniques described to track
    objects (cells) through a series of images at reasonable rates. The
    technique works fairly well even when the cells are undergoing
    moderately radical morphological changes.


    >From vision@iro.umontreal.ca Mon Jan 4 09:36:13 1993

    I am working on an application of optical flow algorithm on
    non-rigid coronary artery bifurcation (tracking). I found the section
    9.12 of Jain's "Fundamentals of Digital image processing" labeled
    "scene matching and detection".


    >From paik@mlo.dec.com Mon Jan 4 17:05:55 1993

    Possibly this bibliography may be of use (from a project in motion
    tracking from a computer vision class).

    [Anandan89] P. Anandan. A computation framework and an algorithm for
    the measurement of visual motion. International Journal of Computer
    Vision, 2(3):283-310, January 1989.

    [Braccini86] C. Braccini, G. Gambardella, A. Grattarola, L. Massone,
    P. Morasso, G. Sandini, and M. Tistarelli. Object reconstruction from
    motion: comparison and integration of different methods. Proceedings
    of the Intenational Workshop on Time-Varying Image Processing and
    Moving Object Recognition, September 1986

    [Cornelius83] N. Cornelius and T. Kanade. Adapting optical-flow to
    measure object motion in reflectance and X-ray image sequences.
    Technical Report CMU-CS-83-119, Carnegie Mellon University, 1983.

    [Horn81] B. K. P. Horn and B. G. Schunck. Determining Optical Flow.
    Artificial Intelligence, 17:185-203, 1981.

    [Lucas81] B. D. Lucas and T. Kanade. An iterative image registration
    technique with an application to stereo vision. Proceedings of the
    7th International Joint Conference on Artificial Intelligence, 1981.

    [Rehg91] J. M. Rehg and A. P. Witkin. Visual tracking with
    deformation models. Proceedings of the IEEE Conference on Robotics
    and Automation, April 1991.

    [Tomasi91] C. Tomasi and T. Kanade. The factorization method for the
    recovery of shape and motion from image streams. DARPA Image
    Understanding Workshop, 1991.

    [Tomasi91b] C. Tomasi. Personal communication, November 1991.

    [Tomasi92] C. Tomasi and T. Kanade. Selecting and tracking features
    for image sequence analysis. Submitted to Robotics & Automation,
    1992.


    >From donohoe@jemez.eece.unm.edu Tue Jan 5 10:07:34 1993

    I've done some work in object tracking and can send you some references.


    >From mww@eng.cam.ac.uk Wed Jan 6 09:21:30 1993

    One popular technique is called active contours or "snakes".
    The seminal reference would be:
    Kass, Witkin,Terzopoulos
    Snakes: Active contour models
    1st Int Conf on Computer Vision 1987, pp259-268

    Check out simpler and more computationally efficient
    implimentations using b-splines eg:

    Curwen, Blake and Cipolla
    Parallel impimentation of Lagrangian Dynamics for real time
    snakes.
    British Machine Vision Conference 1991,pp29-35

    Other techniques:
    The simplest would probably be frame differencing
    (assuming static camera), Autocorrelation,
    corner tracking.


    ---------------------------------------------------------------------------
    ---------------------------------------------------------------------------
    ---------------------------------------------------------------------------

    Thanks to everyone who contributed ideas and references. They
    were very helpful!



    --
    Stan Reeves
    Auburn University, Department of Electrical Engineering, Auburn, AL 36849
    INTERNET: sjreeves@eng.auburn.edu
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