Measuring shape: ellipticity, rectangularity, and triangularity, Mach. Vis. Appl, vol.14, issue.3, pp.172-184, 2003. ,
Particle shape characterization using Fourier analysis, Geotechnique, vol.51, issue.6, pp.545-554, 2001. ,
Generalizing the Hough transform to detect arbitrary shapes, Pattern Recognition, vol.13, issue.2, pp.111-122, 1981. ,
The generalization of the R-transform for invariant pattern representation, Pattern Recognition, vol.45, issue.6, pp.2145-2163, 2012. ,
URL : https://hal.archives-ouvertes.fr/inria-00637631
Debled-Rennesson, A discrete geometry approach for dominant point detection, Pattern Recognition, vol.44, issue.1, pp.32-44, 2011. ,
Simmap: Similarity maps for scale invariant local shape descriptors, Neurocomputing, vol.175, pp.888-898, 2016. ,
A graph-theoretic approach to 3d shape classification, Neurocomputing, vol.211, pp.11-21, 2016. ,
Generic orthogonal moments: Jacobi-Fourier moments for invariant image description, Pattern Recognition, vol.46, issue.11, pp.3148-3155, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00820279
A survey of 2d shape representation: Methods, evaluations, and future research directions, Neurocomputing, vol.300, pp.1-16, 2018. ,
A comparative study of curvature scale space and Fourier descriptors for shape-based image retrieval, Journal of Visual Communication and Image Representation, vol.14, pp.39-57, 2003. ,
Measuring the performance of shape similarity retrieval methods, Comput. Vis. Image Underst, vol.84, issue.1, pp.44-61, 2001. ,
Variational shape matching for shape classification and retrieval, Pattern Recognition Letters, vol.31, issue.12, pp.1650-1657, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00936850
Efficient partial shape matching using smith-waterman algorithm, IEEE Conference on Computer Vision and Pattern Recognition, CVPR Workshops, pp.1-6, 2008. ,
Curve matching for open 2d curves, Pattern Recognition Letters, vol.30, issue.1, pp.1-10, 2009. ,
Hierarchical skeleton for shape matching, pp.3603-3607, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01335723
The measurement of circularity and ellipticity on a digital grid, Pattern Recognition, vol.15, issue.5, pp.383-387, 1982. ,
Efficiency of simple shape descriptors, Aspects of visual form processing, pp.443-451, 1997. ,
Compact figures in digital pictures, IEEE Trans. on Systems, Man and Cybernetics, vol.4, pp.221-223, 1974. ,
A measure for circularity of digital figures, IEEE Trans. Systems, Man, and Cybernetics, vol.4, pp.394-396, 1974. ,
A new shape factor, Computer Graphic and Image Processing, vol.7, issue.2, pp.292-299, 1978. ,
Circularity measures based on mathematical morphology, Electronics Letters, vol.36, issue.20, pp.1691-1693, 2000. ,
The measurement of circularity and ellipticity on a digital grid, Pattern Recognition, vol.15, pp.383-387, 1982. ,
Measuring shape: ellipticity, rectangularity, and triangularity, Machine Vision and Applications, vol.14, pp.172-184, 2003. ,
A Hu Moment Invariant as a Shape Circularity Measure, Pattern Recognition, vol.43, issue.1, pp.47-57, 2010. ,
Shape based circularity measures of planar point sets, pp.1279-1282, 2007. ,
New resolution independent measures of circularity, Journal of Mathematical Imaging and Vision, vol.35, issue.2, pp.117-127, 2009. ,
Separating point sets by circles, and the recognition of digital disks, IEEE Trans. Pattern Anal. Mach. Intell, vol.8, issue.4, pp.554-556, 1986. ,
Measure of circularity for parts of digital boundaries and its fast computation, Pattern Recognition, vol.43, issue.1, pp.37-46, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00438631
Debled-Rennesson, Circularity measuring in linear time, pp.2098-2101, 2010. ,
An easy measure of compactness for 2d and 3d shapes, Pattern Recognition, vol.41, issue.2, pp.543-554, 2008. ,
Projection-based polygonality measurement, IEEE Transactions on Image Processing, vol.24, issue.1, pp.305-315, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01083726
Shape rectangularity measures, IJPRAI, vol.26, issue.6, pp.1-23, 2012. ,
Curvature weighted gradient based shape orientation, Pattern Recognition, vol.43, issue.9, pp.3035-3041, 2010. ,
Boundary based shape orientation, Pattern Recognition, vol.41, issue.5, pp.1768-1781, 2008. ,
Projection-based geometrical feature extraction for computer vision: algorithms in pipeline, IEEE Trans. Pattern Anal. Mach. Intell, vol.9, issue.1, pp.160-168, 1987. ,
Use of the Radon transform as a method of extracting information about shape in two dimensions, Image and Vision Computing, vol.10, issue.2, pp.99-107, 1992. ,
Radon transform orientation estimation for rotation invariant texture analysis, IEEE Trans. Pattern Anal. Mach. Intell, vol.27, issue.6, pp.1004-1008, 2005. ,
Polygonal estimation of planar convex-set perimeter from its two projections, Discrete Applied Mathematics, vol.161, issue.15, pp.2252-2268, 2013. ,
Identification of reflected, scaled, translated, and rotated objects from their Radon projections, IEEE Transactions on Image Processing, vol.17, issue.3, pp.301-310, 2008. ,
An alternative approach to computing shape orientation with an application to compound shapes, International Journal of Computer Vision, vol.81, issue.2, pp.138-154, 2009. ,
Genetic Fourier descriptor for the detection of rotational symmetry, Image Vision Comput, vol.25, issue.2, pp.148-154, 2007. ,
Using phase information for symmetry detection, Pattern Recognition Letters, vol.26, issue.13, pp.1985-1994, 2005. ,
A unifying approach to moment-based shape orientation and symmetry classification, IEEE Transactions on Image Processing, vol.18, issue.1, pp.125-139, 2009. ,
Measuring linearity of connected configurations of a finite number of 2d and 3d curves, Journal of Mathematical Imaging and Vision, vol.53, issue.1, pp.1-11, 2015. ,
Measuring linearity of curves in 2d and 3d, Pattern Recognition, vol.49, pp.65-78, 2016. ,
Determining digital circularity using integer intervals, Journal of Mathematical Imaging and Vision, vol.42, issue.1, pp.1-24, 2012. ,
A 3d polar-radius-moment invariant as a shape circularity measure, Neurocomputing, vol.259, pp.140-145, 2017. ,
Ellipticity and circularity measuring via kullback-leibler divergence, Journal of Mathematical Imaging and Vision, vol.55, issue.1, pp.136-150, 2016. ,
, Digital disks and a digital compactness measure, pp.117-124, 1984.
Measuring rectangularity, Mach. Vis. Appl, vol.11, issue.4, pp.191-196, 1999. ,
Measuring squareness and orientation of shapes, Journal of Mathematical Imaging and Vision, vol.39, issue.1, pp.13-27, 2011. ,
A simple algorithm for detection of significant vertices for polygonal approximation of chain-coded curves, Pattern Recogn. Lett, vol.14, issue.12, pp.959-964, 1993. ,
Techniques for assessing polygonal approximations of curves, IEEE Trans. Pattern Anal. Mach. Intell, vol.19, issue.6, pp.659-666, 1997. ,
Histogram of radon transform. A useful descriptor for shape retrieval, pp.1-4, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00339116
The Radon Transform and Some of Its Applications, 1983. ,
A fast discrete approximation algorithm for the radon transform, SIAM J. Comput, vol.27, issue.1, pp.107-119, 1998. ,
Digital disks and a digital compactness measure, Proc. STOC, pp.117-124, 1984. ,
Recognition of shapes by editing their shock graphs, IEEE Trans. Pattern Anal. Mach. Intell, vol.26, issue.5, pp.550-571, 2004. ,
Symmetry-based indexing of image databases, Journal of Visual Communication and Image Representation, vol.9, pp.366-380, 1998. ,
Compact figures in digital pictures, IEEE Transactions on Systems, Man and Cybernetics, vol.4, pp.221-223, 1974. ,