Minimal enclosing parallelogram with application
Proceedings of the eleventh annual symposium on Computational geometry
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
State of the art in shape matching
Principles of visual information retrieval
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Power of Non-Rectilinear Holes
Proceedings of the 9th Colloquium on Automata, Languages and Programming
Recognition of Shapes by Editing Their Shock Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Convexity Measure for Polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Convexity Measure Based on a Probabilistic Interpretation of Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Classification Using the Inner-Distance
IEEE Transactions on Pattern Analysis and Machine Intelligence
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Partial Similarity of Objects, or How to Compare a Centaur to a Horse
International Journal of Computer Vision
Approximate convex decomposition of polygons
Computational Geometry: Theory and Applications
Representation and matching of articulated shapes
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Matching two-dimensional articulated shapes using generalized multidimensional scaling
AMDO'06 Proceedings of the 4th international conference on Articulated Motion and Deformable Objects
Shape partitioning by convexity
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape description by bending invariant moments
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Perceptually motivated morphological strategies for shape retrieval
Pattern Recognition
Local phase quantization descriptor for improving shape retrieval/classification
Pattern Recognition Letters
On the dynamic time warping of cyclic sequences for shape retrieval
Image and Vision Computing
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Perceptually motivated shape context which uses shape interiors
Pattern Recognition
Image re-ranking and rank aggregation based on similarity of ranked lists
Pattern Recognition
Toward perception-based shape decomposition
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part II
A scalable re-ranking method for content-based image retrieval
Information Sciences: an International Journal
Image and Vision Computing
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Given a set of points corresponding to a 2D projection of a non-planar shape, we would like to obtain a representation invariant to articulations (under no self-occlusions). It is a challenging problem since we need to account for the changes in 2D shape due to 3D articulations, viewpoint variations, as well as the varying effects of imaging process on different regions of the shape due to its non-planarity. By modeling an articulating shape as a combination of approximate convex parts connected by non-convex junctions, we propose to preserve distances between a pair of points by (i) estimating the parts of the shape through approximate convex decomposition, by introducing a robust measure of convexity and (ii) performing part-wise affine normalization by assuming a weak perspective camera model, and then relating the points using the inner distance which is insensitive to planar articulations. We demonstrate the effectiveness of our representation on a dataset with non-planar articulations, and on standard shape retrieval datasets like MPEG-7.