Title :
Identification of Reflected, Scaled, Translated, and Rotated Objects From Their Radon Projections
Author :
Hjouj, Fawaz ; Kammler, David W.
Author_Institution :
East Carolina Univ., Greenville
fDate :
3/1/2008 12:00:00 AM
Abstract :
In this paper, we present a method for identification of binary objects from a given set of radon projections. Given a suitably regular 2D function , we form a new function from f by using the operations of reflection, scaling, translation, and rotation. We show how the radon projections of are related to those of and devise a procedure that can be used to determine the parameters from the radon projections of and . We illustrate this process using a family of block images that include common 7 times 5 pixel representations for the letters A, B, ....., Z.
Keywords :
Radon transforms; image representation; object detection; binary object identification; block image processing; pixel representation; radon projection; Change detection; image processing; invariant features; radon transform; Algorithms; Artificial Intelligence; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Motion; Pattern Recognition, Automated; Reproducibility of Results; Rotation; Sensitivity and Specificity;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2007.916160
