Natural Representations for Straight Lines and the Hough Transform on Discrete Arrays
IEEE Transactions on Pattern Analysis and Machine Intelligence
High-accuracy rotation of images
CVGIP: Graphical Models and Image Processing
Image Representation Via a Finite Radon Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sampling properties of the discrete radon transform
Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
An exact, non-iterative Mojette inversion technique utilising ghosts
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Exact, scaled image rotations in finite Radon transform space
Pattern Recognition Letters
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In traditional tomography, a close approximation of an object can be reconstructed from its sinogram. The orientation (or zero angle) of the reconstructed image can be chosen to be any one of the many projected view angles. The Finite Radon Transform (FRT) is a discrete analogue of classical tomography. It permits exact reconstruction of an object from its discrete projections. Reordering the discrete FRT projections is equivalent to an exact digital image rotation. Each FRT-based rotation preserves the intensity of all original image pixels and allocates new pixel values through use of an area-preserving, angle-specific interpolation filter. This approach may find application in image rotation for feature matching, and to improve the display of zoomed and rotated images.