Scale Invariants of Radial Tchebichef Moments for Shape-Based Image Retrieval

2009 ◽  
Author(s):  
A. El-ghazal ◽  
O. Basir ◽  
S. Belkasim
Keyword(s):  
Image Retrieval ◽  
Tchebichef Moments ◽  
Scale Invariants

scholarly journals New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Haiyong Wu ◽  
Jean Louis Coatrieux ◽  
Huazhong Shu
Keyword(s):  
Linear Combination ◽  
Iterative Algorithm ◽  
Matrix Multiplication ◽  
Scale Factor ◽  
New Approach ◽  
Geometric Moments ◽  
Tchebichef Moments ◽  
Scale Invariants

Scale invariants of Tchebichef moments are usually achieved by a linear combination of corresponding invariants of geometric moments or via an iterative algorithm to eliminate the scale factor. According to the properties of Tchebichef polynomials, we propose a new approach to construct scale invariants of Tchebichef moments. An algorithm based on matrix multiplication is also provided to efficiently compute the 3D moments and invariants. Several experiments are carried out to validate the effectiveness of our descriptors and algorithm.

TRANSLATION AND SCALE INVARIANTS OF HAHN MOMENTS

2009 ◽  
Vol 09 (02) ◽  
pp. 271-285 ◽  
Author(s):  
HOCK-ANN GOH ◽  
CHEE-WAY CHONG ◽  
ROSLI BESAR ◽  
FAZLY SALLEH ABAS ◽  
KOK-SWEE SIM
Keyword(s):  
Generating Functions ◽  
Research Work ◽  
Moment Invariants ◽  
Image Normalization ◽  
Mapping Functions ◽  
Krawtchouk Moments ◽  
Tchebichef Moments ◽  
The Moment ◽  
Precise Moment ◽  
Scale Invariants

Hahn moments are a superset of Tchebichef and Krawtchouk moments. The formulation for Hahn moments is however comparably more complex than other moments. So far only research work on translation and scale invariants for Tchebichef moments has been presented but not on Hahn moments. In this paper, a moment normalization method to achieve translation and scale invariants of Hahn moments is proposed. This method applies the concept of mapping functions used in image normalization. The mapping functions, once determined, are plugged into the moment generating functions to generate moment invariants. The proposed method is simpler and flexible. Experimental results show that faster execution and more precise moment invariants can be achieved using the invariant generating functions.

Scale Invariants of Tchebichef Moments for Binary Image

2009 ◽  
Vol 29 (12) ◽  
pp. 3374-3378
Author(s):  
吴海勇 Wu Haiyong
Keyword(s):  
Binary Image ◽  
Tchebichef Moments ◽  
Scale Invariants

Translation and scale invariants of three-dimensional Tchebichef moments

2015 ◽  
Author(s):  
Mosatafa El Mallahi ◽  
Abderrahim Mesbah ◽  
Hassan Qjidaa ◽  
Khalid Zenkouar ◽  
Hakim El Fadili
Keyword(s):  
Three Dimensional ◽  
Tchebichef Moments ◽  
Scale Invariants

scholarly journals Translation and scale invariants of Tchebichef moments

2007 ◽  
Vol 40 (9) ◽  
pp. 2530-2542 ◽  
Author(s):  
Hongqing Zhu ◽  
Huazhong Shu ◽  
Ting Xia ◽  
Limin Luo ◽  
Jean Louis Coatrieux
Keyword(s):  
Tchebichef Moments ◽  
Scale Invariants
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