3-D Moment Forms: Their Construction and Application to Object Identification and Positioning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Image Recognition by Zernike Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
The revised Fundamental Theorem of Moment Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern recognition with moment invariants: a comparative study and new results
Pattern Recognition
Noise and intensity invariant moments
Pattern Recognition Letters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Moment-Based Image Normalization With High Noise-Tolerance
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Complete Sets of Complex Zernike Moment Invariants and the Role of the Pseudoinvariants
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
Three-Dimensional Moment Invariants under Rigid Transformation
CAIP '93 Proceedings of the 5th International Conference on Computer Analysis of Images and Patterns
Combined Geometric Transformation and Illumination Invariant Object Recognition in RGB Color Images
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 3
Moment invariants for recognition under changing viewpoint and illumination
Computer Vision and Image Understanding - Special issue on color for image indexing and retrieval
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition
Efficient and accurate computation of geometric moments on gray-scale images
Pattern Recognition
Extension of Moment Features' Invariance to Blur
Journal of Mathematical Imaging and Vision
Moment Invariants of Restricted Projective Transformations
ISISE '08 Proceedings of the 2008 International Symposium on Information Science and Engieering - Volume 01
A Method to Derive Moment Invariants
ICMTMA '09 Proceedings of the 2009 International Conference on Measuring Technology and Mechatronics Automation - Volume 02
Three-Dimensional Moment Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Functions of moments of 2D images that are invariant under some changes are important in image analysis and pattern recognition. One of the most basic changes to a 2D image is geometric change. Two images of the same plane taken from different viewpoints are related by a projective transformation. Unfortunately, it is well known that geometric moment invariants for projective transformations do not exist in general. Yet if we generalize the standard definition of the geometric moments and utilize some additional information from the images, certain type of projective invariants of 2D images can be derived. This paper first defines co-moment as a moment-like function of image that contains two reference points. Then a set of functions of co-moments that is invariant under general projective transformations is derived. The invariants are simple and in explicit form. Experimental results validated the mathematical derivations.