Moments and moment invariants

selected publications by J. Flusser, T. Suk, and B. Zitov?


Invariants to rotation

Flusser J.: On the independence of rotation moment invariants. Pattern Recognition, 33 (2000), 9, 1405-1410.
Flusser J.: On the inverse problem of rotation moment invariants. Pattern Recognition, 35 (2002), 12, 3015-3017.
Flusser J., Suk T.: Rotation Moment Invariants for Recognition of Symmetric Objects. IEEE Transactions on Image Processing, 15 (2006), 12, 3784-3790.

 

Invariants to affine transform

Flusser J., Suk T.: Pattern Recognition by Affine Moment Invariants. Pattern Recognition , 26 (1993), 1, 167-174.
Flusser J., Suk T.: A moment-based approach to registration of images with affine geometric distortion. IEEE Transactions on Geoscience and Remote Sensing, 32 (1994), 2, 382-387.
Flusser J., Suk T.: Affine moment invariants: A new tool for character recognition. Pattern Recognition Letters, 15 (1994), -, 433-436.
Zitova B., Flusser J.: Landmark recognition using invariant features. Pattern Recognition Letters, 20 (1999), 5, 541-547.
Flusser J.: Affine invariants of convex polygons. IEEE Transaction on Image Processing, 11 (2002), 9, 1117-1118.
Suk T., Flusser J.: Graph method for generating affine moment invariants. In: Proceedings of the 17th International Conference on Pattern Recognition. ICPR 2004. (Kittler J. ed.). IEEE Computer Society, Los Alamitos 2004, pp. 192-195.

 

Invariants to convolution

Flusser J., Suk T., Saic S.: Image features invariant with respect to blur. Pattern Recognition, 28 (1995), 11, 1723-1732.
Flusser J., Suk T., Saic S.: Recognition of blurred images by the method of moments. IEEE Transactions on Image Processing, 5 (1996), 3, 533-538.
Flusser J., Suk T., Saic S.: Recognition of images degraded by linear motion blur without restoration. Computing. Supplement, 11 (1996), -, 37-51.
Flusser J., Suk T.: Classification of degraded signals by the method of invariants. Signal Processing, 60 (1997), 2, 243-249.
Flusser J., Suk T.: Degraded image analysis: An invariant approach. IEEE Transactions on Pattern Analysis and Machine Intelligence, 20 (1998), 6, 590-603.
Flusser J., Zitova B.: Combined invariants to linear filtering and rotation. International Journal of Pattern Recognition and Artificial Intelligence, 13 (1999), 8, 1123-1136.
Flusser J., Zitova B., Suk T.: Invariant-based registration of rotated and blurred images. In: IEEE 1999 International Geoscience and Remote Sensing Symposium. Proceedings. (Tammy I. S. ed.). IEEE Computer Society, Los Alamitos 1999, pp. 1262-1264.
Flusser J., Boldys J., Zitova B.: Invariants to convolution in arbitrary dimensions. Journal of Mathematical Imaging and Vision, 13 (2000), 2, 101-113.
Zitova B., Flusser J.: Invariants to convolution and rotation. In: Invariants for Pattern Recognition and Classification. (Rodrigues M. A . ed.). ( Series in Machine Perception and Artificial Intelligence. 42). World Scientific, Singapore 2000, pp. 23-46.
Zitova B., Flusser J.: Estimation of camera planar motion from blurred images. In: Proceedings of the IEEE International Conference on Image Processing. ICIP'02. IEEE, Rochester 2002, pp. 329-332.
Flusser J., Boldys J., Zitova B.: Moment forms invariant to rotation and blur in arbitrary number of dimensions. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25 (2003), 2, 234-246.
Suk T., Flusser J.: Combined blur and affine moment invariants and their use in pattern recognition. Pattern Recognition, 36 (2003), 12, 2895-2907.
Flusser J., Zitová B.: Invariants to convolution with circularly symmetric PSF. In: International Conference on Pattern Recognition. ICPR 2004, (Kittler J. ed.). IEEE Computer Society, Los Alamitos 2004, pp. 11-14.

 

Moment calculation

Flusser J.: Fast calculation of geometric moments of binary images. In: Pattern Recognition and Medical Computer Vision. (Gengler M. ed.). ?CG, Illmitz 1998, pp. 265-274.
Flusser J.: Refined moment calculation using image block representation. IEEE Transactions on Image Processing, 9 (2000), 11, 1977-1978.

 

Others

Flusser J.: Object matching by means of matching likelihood coefficients. Pattern Recognition Letters, 16 (1995), -, 893-900.                              
Suk T., Flusser J.: Vertex-based features for recognition of projectively deformed polygons. Pattern Recognition, 29 (1996), 3, 361-367.                         
Suk T., Flusser J.: Point-based projective invariants. Pattern Recognition, 33 (2000), 2, 251-261.                     
Zitova B., Flusser J.: Image registration methods: A survey. Image and Vision Computing, 21 (2003), 11, 977-1000.                        
Suk T., Flusser J.: Projective moment invariants. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26 (2004), 10, 1364-1367.
Flusser J.: Moment invariants in image analysis. In: Proceedings of the International Conference on Computer Science. ICCS'06. Computica, Prague 2006, pp. 196-201.