2D Shape Classification and Retrieval

We present a novel correspondence-based technique for efficient shape classification and retrieval. Shape boundaries are described by a set of (ad hoc) equally spaced points - avoiding the need to extract "landmark points". By formulating the correspondence problem in terms of a simple generative model, we are able to efficiently compute matches that incorporate scale, translation, rotation and reflection invariance. A hierarchical scheme with likelihood cut-off provides additional speed-up. In contrast to many shape descriptors, the concept of a mean (prototype) shape follows naturally in this setting. This enables model based classification, greatly reducing the cost of the testing phase. Equal spacing of points can be defined in terms of either perimeter distance or radial angle. It is shown that combining the two leads to improved classification/ retrieval performance.

[1]  N. L. Johnson,et al.  Multivariate Analysis , 1958, Nature.

[2]  Chin-Chen Chang,et al.  A shape recognition scheme based on relative distances of feature points from the centroid , 1991, Pattern Recognition.

[3]  Fred L. Bookstein,et al.  Landmark methods for forms without landmarks: morphometrics of group differences in outline shape , 1997, Medical Image Anal..

[4]  Ulrich Eckhardt,et al.  Shape descriptors for non-rigid shapes with a single closed contour , 2000, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662).

[5]  K. Mardia,et al.  Matching problems for unlabelled configurations , 2003 .

[6]  Ari Visa,et al.  Multiscale Fourier descriptor for shape classification , 2003, 12th International Conference on Image Analysis and Processing, 2003.Proceedings..

[7]  X. Zhang,et al.  Object representation and recognition in shape spaces , 2003, Pattern Recognit..

[8]  Ari Visa,et al.  Multiscale Fourier descriptor for shape-based image retrieval , 2004, ICPR 2004.

[9]  Shape correspondence through landmark sliding , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[10]  Boaz J. Super,et al.  Fast correspondence-based system for shape retrieval, , 2004, Pattern Recognit. Lett..