Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to algorithms
Similarity-invariant signatures for partially occluded planar shapes
International Journal of Computer Vision
Active shape models—their training and application
Computer Vision and Image Understanding
Automatic landmark generation for Point Distribution Models
BMVC 94 Proceedings of the conference on British machine vision (vol. 2)
Shape quantization and recognition with randomized trees
Neural Computation
Partial shape matching using genetic algorithms
Pattern Recognition Letters
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object-oriented software for quadratic programming
ACM Transactions on Mathematical Software (TOMS)
Automatic 3D ASM Construction via Atlas-Based Landmarking and Volumetric Elastic Registration
IPMI '01 Proceedings of the 17th International Conference on Information Processing in Medical Imaging
Automatic Construction of 3D Statistical Deformation Models Using Non-rigid Registration
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Automatic Construction of Active Appearance Models as an Image Coding Problem
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the 13th annual ACM international conference on Multimedia
A Ground Truth Correspondence Measure for Benchmarking
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 03
An elastic partial shape matching technique
Pattern Recognition
A minimum description length objective function for groupwise non-rigid image registration
Image and Vision Computing
Statistical Models of Shape: Optimisation and Evaluation
Statistical Models of Shape: Optimisation and Evaluation
Evaluating Shape Correspondence for Statistical Shape Analysis: A Benchmark Study
IEEE Transactions on Pattern Analysis and Machine Intelligence
Locating Facial Features with an Extended Active Shape Model
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part IV
Robust modified active shape model for automatic facial landmark annotation of frontal faces
BTAS'09 Proceedings of the 3rd IEEE international conference on Biometrics: Theory, applications and systems
Multiple cortical surface correspondence using pairwise shape similarity
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
Nonrigid shape correspondence using landmark sliding, insertion and deletion
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Shape modeling using automatic landmarking
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
3D active shape models using gradient descent optimization of description length
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Toward Pose-Invariant 2-D Face Recognition Through Point Distribution Models and Facial Symmetry
IEEE Transactions on Information Forensics and Security - Part 1
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The major challenge in constructing a statistical shape model for a structure is shape correspondence, which identifies a set of corresponded landmarks across a population of shape instances to accurately estimate the underlying shape variation. Both global or pairwise shape-correspondence methods have been developed to automatically identify the corresponded landmarks. For global methods, landmarks are found by optimizing a comprehensive objective function that considers the entire population of shape instances. While global methods can produce very accurate shape correspondence, they tend to be very inefficient when the population size is large. For pairwise methods, all shape instances are corresponded to a given template independently. Therefore, pairwise methods are usually very efficient. However, if the population exhibits a large amount of shape variation, pairwise methods may produce very poor shape correspondence. In this paper, we develop a new method that attempts to address the limitations of global and pairwise methods. In particular, we first construct a shape tree to globally organize the population of shape instances by identifying similar shape instance pairs. We then perform pairwise shape correspondence between such similar shape instances with high accuracy. Finally, we combine these pairwise correspondences to achieve a unified correspondence for the entire population of shape instances. We evaluate the proposed method by comparing its performance to five available shape correspondence methods, and show that the proposed method achieves the accuracy of a global method with the efficiency of a pairwise method.