A method of general moments for orienting 2D projections of unknown 3D objects
Computer Vision, Graphics, and Image Processing
A moment-based variational approach to tomographic reconstruction
IEEE Transactions on Image Processing
Uniqueness of tomography with unknown view angles
IEEE Transactions on Image Processing
Feasibility of tomography with unknown view angles
IEEE Transactions on Image Processing
Gauss-Green cubature and moment computation over arbitrary geometries
Journal of Computational and Applied Mathematics
Blurred image recognition by Legendre moment invariants
IEEE Transactions on Image Processing
A study on some aspects of reconstruction of images by parallel beam back projection method
International Journal of Computational Science and Engineering
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A set of orthonormal polynomials is proposed for image reconstruction from projection data. The relationship between the projection moments and image moments is discussed in detail, and some interesting properties are demonstrated. Simulation results are provided to validate the method and to compare its performance with previous works.