A Framework for Discrete Integral Transformations IThe Pseudopolar Fourier Transform
Averbuch A, Coifman R, Donoho D, Israeli M, Shkolnisky Y. A Framework for Discrete Integral Transformations IThe Pseudopolar Fourier Transform. SIAM Journal On Scientific Computing 2008, 30: 764-784. DOI: 10.1137/060650283.Peer-Reviewed Original ResearchSame complexity orderDirect inversion algorithmFrequency gridGram operatorOne-dimensional operationsDiscrete gridDiscrete caseFrequency domain structureComplexity orderContinuous functionsIterative algorithmExact analogueFast algorithmPolar coordinatesInversion algorithmPseudopolar gridApproximate interpolationAnalogous toolsContinuum phenomenaRadial densityPseudopolar Fourier transformDifferent raysAlgorithmGridDiscrete Fourier transform