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15 years 7 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
FIMH
2003
Springer
14 years 3 months ago
Motion Analysis of 3D Ultrasound Texture Patterns
We model the process of imaging soft tissues with a 3D ultrasound probe using a linear convolution model, and obtain analytical expressions of both the ultrasound image and its spe...
Weichuan Yu, Ning Lin, Ping Yan, Kailasnath Purush...
SIAMCO
2000
67views more  SIAMCO 2000»
13 years 10 months ago
On the Duality between Filtering and Nevanlinna--Pick Interpolation
Positive real rational functions play a central role in both deterministic and stochastic linear systems theory, as well as in circuit synthesis, spectral analysis, and speech proc...
Christopher I. Byrnes, Anders Lindquist
CANDC
2005
ACM
14 years 7 days ago
Computational schemes for biomimetic sculpture
A prototype system for the automatic evolution of biomimetic structures using structural automata is described and its utility for generating digital sculpture is demonstrated. Sc...
Brower Hatcher, Karl Aspelund, Andrew R. Willis, J...
ICIP
2009
IEEE
14 years 11 months ago
Non-local Image Smoothing By Applying Anisotropic Diffusion Pde's In The Space Of Patches
We design a family of non-local image smoothing algorithms which approximate the application of diffusion PDE's on a specific Euclidean space of image patches. We first map a...