SIAM Journal on Computing
Principles of computerized tomographic imaging
Principles of computerized tomographic imaging
Tellegen's principle into practice
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
A fast hermite transform with applications to protein structure determination
Proceedings of the 2007 international workshop on Symbolic-numeric computation
Algebraic Complexity Theory
Ab initio reconstruction and experimental design for cryo electron microscopy
IEEE Transactions on Information Theory
Accurate image rotation using Hermite expansions
IEEE Transactions on Image Processing
A Hermite pseudospectral solver for two-dimensional incompressible flows on infinite domains
Journal of Computational Physics
Hi-index | 5.23 |
We present algorithms for fast and stable approximation of the Hermite transform of a compactly supported function on the real line, attainable via an application of a fast algebraic algorithm for computing sums associated with a three-term relation. Trade-offs between approximation in bandlimit (in the Hermite sense), and size of the support region are addressed. Numerical experiments are presented that show the feasibility and utility of our approach. Generalizations to any family of orthogonal polynomials are outlined. Applications to various problems in tomographic reconstruction, including the determination of protein structure, are discussed.