A General Framework for Computation of Biomedical Image Moments

Papakostas, George A.; Koulouriotis, Dimitrios E.; Tourassis, Vassilios D.

doi:10.5772/13101

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Kt and Dft Software Implementations1

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2019

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“…Nevertheless, this seriously limits application of the KT in data processing. For example, an image of 512 × 512 pixels is transformed with the KT in 15 min instead of several seconds as is in case of the use of FFT (31).…”

Section: Kt and Dft Software Implementationsmentioning

confidence: 99%

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Quantum interference enables constant-time quantum information processing

et al. 2019

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It is an open question how fast information processing can be performed and whether quantum effects can speed up the best existing solutions. Signal extraction, analysis, and compression in diagnostics, astronomy, chemistry, and broadcasting build on the discrete Fourier transform. It is implemented with the fast Fourier transform (FFT) algorithm that assumes a periodic input of specific lengths, which rarely holds true. A lesser-known transform, the Kravchuk-Fourier (KT), allows one to operate on finite strings of arbitrary length. It is of high demand in digital image processing and computer vision but features a prohibitive runtime. Here, we report a one-step computation of a fractional quantum KT. The quantum d-nary (qudit) architecture we use comprises only one gate and offers processing time independent of the input size. The gate may use a multiphoton Hong-Ou-Mandel effect. Existing quantum technologies may scale it up toward diverse applications.

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Section: Kt and Dft Software Implementationsmentioning

confidence: 99%