International Journal of Robotics Research
On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robot Vision
The revised Fundamental Theorem of Moment Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
An approach to 3D pose determination
ACM Transactions on Graphics (TOG)
IEEE Transactions on Pattern Analysis and Machine Intelligence
Cross-Weighted Moments and Affine Invariants for Image Registration and Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Line Fitting in a Noisy Image by the Method of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
Antifaces: A Novel, Fast Method for Image Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Representation and Matching of Space Curves
Journal of Intelligent and Robotic Systems
Symmetry Identification of a 3-D Object Represented by Octree
IEEE Transactions on Pattern Analysis and Machine Intelligence
Moment Forms Invariant to Rotation and Blur in Arbitrary Number of Dimensions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Description of three-dimensional gray-level objects by the harmonic analysis approach
Pattern Recognition Letters
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Efficient Computation of 3-D Moments in Terms of an Object's Partition
Proceedings of the Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Visualization of acoustic lens data
VIS '93 Proceedings of the 4th conference on Visualization '93
Matching and normalization of affine deformed image from regular moments
Pattern Recognition Letters
Recognition of the blurred image by complex moment invariants
Pattern Recognition Letters
Free viewpoint action recognition using motion history volumes
Computer Vision and Image Understanding - Special issue on modeling people: Vision-based understanding of a person's shape, appearance, movement, and behaviour
Pattern Recognition
Fast computation of geometric moments using a symmetric kernel
Pattern Recognition
Extension of Moment Features' Invariance to Blur
Journal of Mathematical Imaging and Vision
Fast image registration by hierarchical soft correspondence detection
Pattern Recognition
Estimating myocardial motion by 4D image warping
Pattern Recognition
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
A discriminative 3D wavelet-based descriptors: Application to the recognition of human body postures
Pattern Recognition Letters
Low-complexity enhanced lapped transform for image coding in JPEG XR / HD photo
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Projective invariants of co-moments of 2D images
Pattern Recognition
International Journal of Biometrics
A first step towards hybrid visual servoing control based on image moments
AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part I
Image analysis by Gaussian-Hermite moments
Signal Processing
Tensor method for constructing 3D moment invariants
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part II
Interactive dynamics for large virtual reality applications
PCI'05 Proceedings of the 10th Panhellenic conference on Advances in Informatics
Image analysis by discrete orthogonal hahn moments
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Stereoscopic neuro-vision for three-dimensional object recognition
Mathematical and Computer Modelling: An International Journal
The ancient olympic games: being part of the experience
VAST'04 Proceedings of the 5th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
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The 3-D moment method is applied to object identification and positioning. A general theory of deriving 3-D moments invariants is proposed. The notion of complex moments is introduced. Complex moments are defined as linear combinations of moments with complex coefficients and are collected into multiplets such that each multiplet transforms irreducibly under 3-D rotations. The application of the 3-D moment method to motion estimation is also discussed. Using group-theoretic techniques, various invariant scalars are extracted from compounds of complex moments via Clebsch-Gordon expansion. Twelve moment invariants consisting of the second-order and third-order moments are explicitly derived. Based on a perturbation formula, it is shown that the second-order moment invariants can be used to predict whether the estimation using noisy data is reliable or not. The new derivation of vector forms also facilities the calculation of motion estimation in a tensor approach. Vectors consisting of the third-order moments can be derived in a similar manner.