Topic
Discrete sine transform
About: Discrete sine transform is a research topic. Over the lifetime, 3269 publications have been published within this topic receiving 73181 citations.
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TL;DR: A two-dimensional Fast Fourier Transform program written in C language was developed for the personal computer with the specific purpose of extracting periodicities from digital elevation model (DEM) data and provides insight to the nature and complexity of the terrain.
35 citations
TL;DR: In this paper, an optically tailored vibrational wave packet in the iodine molecule implements four and eight-element discrete Fourier transform with arbitrary real and imaginary inputs, which is shorter than the typical clock period of the current fastest Si-based computers by 3 orders of magnitudes.
Abstract: Wave functions of electrically neutral systems can be used as information carriers to replace real charges in the present Si-based circuit, whose further integration will result in a possible disaster where current leakage is unavoidable with insulators thinned to atomic levels We have experimentally demonstrated a new logic gate based on the temporal evolution of a wave function An optically tailored vibrational wave packet in the iodine molecule implements four- and eight-element discrete Fourier transform with arbitrary real and imaginary inputs The evolution time is 145 fs, which is shorter than the typical clock period of the current fastest Si-based computers by 3 orders of magnitudes
34 citations
27 Feb 2009
TL;DR: It is shown that slip boundary conditions can be imposed by solving the mass conservation step using cosine and sine transforms instead of the Fourier transform, and a new method to compute surface tension in the same domain is described.
Abstract: Recent advances in fluid simulations have yielded exceptionally realistic imagery However, most algorithms have computational requirements that are prohibitive for real-time simulations Using Fourier based solutions mitigates this issue, although due to wraparound, boundary conditions are not naturally available, leading to inconsistencies near the boundary We show that slip boundary conditions can be imposed by solving the mass conservation step using cosine and sine transforms instead of the Fourier transform Further, we show that measures against density dissipation can be computed using cosine transforms and we describe a new method to compute surface tension in the same domain This combination of related algorithms leads to real-time simulations with boundary conditions
34 citations
TL;DR: New algorithms for DFT(p; k), the discrete Fourier transform on a k-dimensional data set with p points along each array, where p is a prime are exhibited.
Abstract: We exhibit new algorithms for DFT(p; k), the discrete Fourier transform on a k-dimensional data set with p points along each array, where p is a prime. At a cost of additions only, these algorithms compute DFT(p; k) with (pk- 1)/(p - 1) distinct DFT(p; 1) computations.
34 citations
TL;DR: In this article, a novel interpolation method using the type I discrete cosine transform (DCT-I) is introduced, where the original definition of the DCT is modified to suit this application.
Abstract: A novel interpolation method, using the type I discrete cosine transform (DCT-I), is introduced. The original definition of the DCT-I has been modified to suit this application. Three options for the modified DCT-I are proposed.
34 citations