PRINCIPAL GEODESIC ANALYSIS BOUNDARY DELINEATION WITH SUPERPIXEL-BASED CONSTRAINTS
DOI:
https://doi.org/10.5566/ias.1712Keywords:
constrained global optimization, pattern recognition, principal geodesic analysis, watershed segmentationAbstract
In this paper an algorithm for accurate delineation of object boundaries is proposed. The method employs a superpixel algorithm to obtain an oversegmentation of the input image, used as a constraint in the task. A shape model is built by applying Principal Geodesic Analysis on angular representation of automatically placed uniformly distant landmark points. The shape model is used to detect the boundaries of an object on a given image by iterative elongation of a partial boundary along borders of superpixels. Contrary to many state-of-the-art methods, the proposed approach does not need an initial boundary. The algorithm was tested on two natural and two synthetic sets of images. Mean Dice coefficients between 0.91 and 0.97 were obtained. In almost all cases the object was found. In areas of relatively high gradient magnitude the borders are delineated very accurately, though further research is needed to improve the accuracy in areas of low gradient magnitude and automatically select the parameters of the proposed error function.
References
Achanta R, Shaji A, Smith K, Lucchi A, Fua P, Susstrunk S,
SLIC Superpixels Compared to State-of-the-Art
Superpixel Methods. IEEE T Pattern Anal Mach Intell
:2274–82.
Ballard DH, 1981. Generalizing the Hough transform to
detect arbitrary shapes. Pattern Recogn 13, 111–22.
Beucher S, 1990. Segmentation d’Images et Morphologie
Mathematique, Ph.D. Thesis, E.N.S. des Mines de Paris.
Beucher S, Meyer F, 1993. The morphological approach
to segmentation: The watershed transformation. Math
Morphol Imag Proc 34:433–81.
Boykov Y, Veksler O, Zabih R, 2001. Fast approximate
energy minimization via graph cuts. IEEE T Pattern
Anal Mach Intell 23:1222–39.
Canny J, 1986. A Computational Approach to Edge
Detection. IEEE T Pattern Anal Mach Intell 8:679–98.
Cootes TF, Edwards GJ, Taylor CJ, 2001. Active
Appearance Models. IEEE T Pattern Anal Mach Intell
:681–5.
Cootes TF, Taylor CJ, Cooper DH, Graham J, 1995. Active
Shape Models-Their Training and Application. Comput
Vis Image Und 61:38–59.
Cristinacce D, Cootes T, 2008. Automatic feature
localisation with constrained local models. Pattern
Recogn 41:3054–67.
Dice LR, 1945. Measures of the Amount of Ecologic
Association Between Species. Ecology 26:297–302.
Felzenszwalb PF, Huttenlocher DP, 2005. Pictorial
Structures for Object Recognition. Int J Comput Vision
:55–79.
Fletcher P, Lu C, Pizer S, Joshi S, 2004. Principal geodesic
analysis for the study of nonlinear statistics of shape.
IEEE T Med Imaging 23:995–1005.
Kendall DG, 1984. Shape Manifolds, Procrustean Metrics,
and Complex Projective Spaces. B Lond Math Soc
:81–121.
Kendall DG, 1989. A Survey of the Statistical Theory of
Shape. Stat Sci 4:87–99.
King DE, 2009. Dlib-ml: A Machine Learning Toolkit. J
Mach Learn Res 10:1755–8.
Lai KW, Hum YC, Salim MIM, Ong SB, Utama NP,
Myint YM, Noor NM, Supriyanto E 2014. Review
on Segmentation of Computer-Aided Skeletal Maturity
Assessment. In: Advances in Medical Diagnostic
Technology, Lecture Notes in Bioengineering. Springer
Singapore, 1st ed., 23–51.
Lindner C, Bromiley PA, Ionita MC, Cootes TF, 2015.
Robust and Accurate Shape Model Matching Using
Random Forest Regression-Voting. IEEE T Pattern
Anal 37:1862–74.
Meyer F, 2001. An overview of morphological
segmentation. Int J Pattern Recogn Artif Intell 15:1089–
Meyer F, 2005. Morphological segmentation revisited. In:
Bilodeau M, Meyer F, Schmitt M, eds., Space, Structure
and Randomness, no. 183 in Lecture Notes in Statistics.
Springer New York, 315–47.
Meyer F, Beucher S, 1990. Morphological segmentation. J
Vis Commun Image R 1:21–46.
Neubert P, Protzel P, 2014. Compact Watershed
and Preemptive SLIC: On Improving Trade-offs
of Superpixel Segmentation Algorithms, in: 2014
nd International Conference on Pattern Recognition
(ICPR), 996–1001.
Sirovich L, Kirby M, 1987. Low-dimensional procedure for
the characterization of human faces. J Opt Soc Am A 4,
Sommer S, Tatu A, Chen C, Jurgensen DR, de Bruijne
M, Loog M, Nielsen M, Lauze F, 2009. Bicycle
chain shape models, in: 2009 IEEE Computer
Society Conference on Computer Vision and Pattern
Recognition Workshops, 157–63.
Sommer S, Lauze F, Hauberg S, Nielsen M, 2010. Manifold
Valued Statistics, Exact Principal Geodesic Analysis
and the Effect of Linear Approximations, in: Daniilidis
K, Maragos P, Paragios N (Eds.), Computer Vision –
ECCV 2010. Springer Berlin Heidelberg. number 6316
in Lecture Notes in Computer Science, 43–56.
Srivastava A, Turaga P, Kurtek S, 2012. On advances in
differential-geometric approaches for 2D and 3D shape
analyses and activity recognition. Image Vis Comput
:398–416
Tabor Z, 2010. Surrogate Data: A Novel Approach to Object
Detection. Int J Appl Math Comput Sci 20:545–53.
Veksler O, Boykov Y, Mehrani P, 2010. Superpixels and
Supervoxels in an Energy Optimization Framework.
In: Computer Vision ECCV 2010, Lecture Notes in
Computer Science. Springer, Berlin, Heidelberg.
Wojciechowski W, Molka A, Tabor Z, 2016. Automated
measurement of parameters related to the deformities
of lower limbs based on x-rays images. Comput Biol
Med 70:1–11.
Downloads
Published
Issue
Section
License
Copyright (c) 2017 Image Analysis & Stereology
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.