title: Identification of reflected, scaled, translated, and rotated objects from their radon projections.
abstract: In this paper, we present a method for identification of binary objects from a given set of radon projections. Given a suitably regular 2-D function f, we form a new function g from f by using the operations of reflection, scaling, translation, and rotation. We show how the radon projections of g are related to those of f and devise a procedure that can be used to determine the parameters from the radon projections of f and g. We illustrate this process using a family of block images that include common 7 x 5 pixel representations for the letters A, B,....., Z.
authors.affiliation: Department of Mathematics, East Carolina University, Greenville, NC 27858-4353, USA. hjoujf@ecu.edu
authors.forename: Fawaz
authors.initials: F
authors.lastname: Hjouj
authors.forename: David W
authors.initials: DW
authors.lastname: Kammler
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D009038:Motion; D010363:Pattern Recognition, Automated / Q000379:methods*; D015203:Reproducibility of Results; D012399:Rotation; D012680:Sensitivity and Specificity