This Letter presents a wavelet technique for extracting coherent vortices f
rom three-dimensional turbulent flows, which is applied to a homogeneous is
otropic turbulent flow at resolution N = 256(3). The coherent flow is recon
structed from only 3%N wavelet coefficients that retain the vortex tubes, a
nd 98.9% of the energy with the same k(-5/3) spectrum as the total flow. In
contrast, the remaining 97%N wavelet coefficients correspond to the incohe
rent flow which is structureless, decorrelated, and whose effect can theref
ore be modeled statistically.