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15 years 4 months ago
Mathematics of The Discrete Fourier Transform (DFT) with Audio Applications
"The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the ...
Julius O. Smith III
SIAMSC
2010
159views more  SIAMSC 2010»
13 years 2 months ago
The Fast Generalized Gauss Transform
The fast Gauss transform allows for the calculation of the sum of N Gaussians at M points in O(N + M) time. Here, we extend the algorithm to a wider class of kernels, motivated by ...
Marina Spivak, Shravan K. Veerapaneni, Leslie Gree...
MICCAI
2008
Springer
14 years 8 months ago
Spherical Demons: Fast Surface Registration
Abstract. We present the fast Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large clas...
B. T. Thomas Yeo, Mert R. Sabuncu, Tom Vercauter...
TIP
2008
90views more  TIP 2008»
13 years 7 months ago
Reversible, Fast, and High-Quality Grid Conversions
Abstract--A new grid conversion method is proposed to resample between two 2-D periodic lattices with the same sampling density. The main feature of our approach is the symmetric r...
Laurent Condat, Dimitri Van De Ville, Brigitte For...
MICCAI
2005
Springer
14 years 8 months ago
Using the Fast Marching Method to Extract Curves with Given Global Properties
Abstract. Curves are often used as anatomical features to match surfaces that represent biological objects, such as the human brain. Automated and semi-automated methods for extrac...
Xiaodong Tao, Christos Davatzikos, Jerry L. Prince