Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
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
Ab initio reconstruction and experimental design for cryo electron microscopy
IEEE Transactions on Information Theory
Power series composition and change of basis
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Theoretical Computer Science
Accurate image rotation using Hermite expansions
IEEE Transactions on Image Processing
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We discuss algorithms for a 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 to a three-term relation. Trade-offs between approximation in bandwidth (in the Hermite sense) and size of the support region are addressed. Generalizations to any family of orthogonal polynomials are outlined. Applications to the determination of protein structure are discussed.