Fourier Transforms in Tomography: Inversion Techniques

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Explores the interpretation of Fourier transform and its application in signal modification.

Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.

Covers sampling, Fourier Transform, and reconstruction using low-pass filters in signal processing.

Covers the Laplace Transform, LTI systems, Fourier Transforms, and properties.

Covers the properties of signal/data representations using Fourier transformations and matrices.

Covers the continuous-time Fourier transform, its properties, and applications to stable LTI systems.

Covers the Fourier transform of sampled signals, reconstruction, and harmonic response.

Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.

Covers the concepts of quantization, coding, and sampling in signal processing.

Explores backprojection reconstruction, spatial resolution challenges, filtered backprojection, and the link to Fourier transform.