It is well known that the output of Fourier Transform in general is orientation dependent. As such, by applying a two-dimensional (2D) discrete Fast Fourier Transform (FFT) onto an image with oriented pattern, the output image will show a clustering around a specific orientation. By strengthening the points located in the cluster and suppressing the points outside of this cluster, the oriented ...

We propose an all-optical Fourier transformation system for real-time massive data processing in high speed optical coherence tomography (OCT). In the so-called optical computing OCT, fast Fourier transformation (FFT) of A-scan signal is optically processed in real time before being detected by photoelectric detector. Therefore, the processing time for interpolation and FFT in traditional Fouri...

We improve data extrapolation for truncated computed tomography (CT) projections by using Helgason-Ludwig (HL) consistency conditions that mathematically describe the overlap of information between projections. First, we theoretically derive a 2D Fourier representation of the HL consistency conditions from their original formulation (projection moment theorem), for both parallel-beam and fan-be...

This research was conducted to determine the structure and depth of reservoir using remote sensing as an initial survey assess geological alignment direction, employing ALOS PALSAR radar imagery. Subsequently, further surveys were magnetotelluric gravity methods analyze geothermal reservoir. The data processed Phoenix software, where transformed from time domain frequency Fourier transformation...

We investigate the analytical properties of time-of-flight (TOF) positron emission tomography (PET) sinograms, where the data are modeled as line integrals weighted by a spatially invariant TOF kernel. First, we investigate the Fourier transform properties of 2D TOF data and extend the 'bow-tie' property of the 2D Radon transform to the time-of-flight case. Second, we describe a new exact Fouri...