Fourier transform as a triangular matrix

Incremental Fourier transform of triangular closed 2-manifolds

In this paper we present a technique for the calculation of the Fourier transform for functions defined on oriented closed 2-manifolds. The objects are given as oriented triangular meshes. Our focus in this paper is on the characteristic function of the model, that is, the function that is equal to one inside the model and zero outside. The advantage of our approach is that it provides an autom...

Fourier Transform Computation of Triangular Closed 2-Manifolds

In this paper we present a technique for the calculation of the Fourier transform for functions defined on oriented closed 2manifolds. The objects are given as oriented triangular meshes. We focus in this paper on the characteristic function of the model i.e. the function that is equal to one inside the model and zero outside. The advantage of our approach is that it provides an automatic, simp...

A Fourier Transform

The harmonic function F exp(j2rvt) plays an important role in science and engineering. It has frequency v and complex amplitude F. Its real part IFIcos(2~vt + arg{F}) is a cosine function with amplitude jF( and phase arg{F}. The variable t usually represents time; the frequency v has units of cycles/s or Hz. The harmonic function is regarded as a building block from which other functions may be...

A New Fourier Transform

In order to define a geometric Fourier transform, one usually works with either `-adic sheaves in characteristic p > 0 or with D-modules in characteristic 0. If one considers `-adic sheaves on the stack quotient of a vector bundle V by the homothety action of Gm, however, Laumon provides a uniform geometric construction of the Fourier transform in any characteristic. The category of sheaves on ...

The Fourier Transform { A