A precision method for determining the value of \beta = \Omega _ { m } ^ { 0.6 } / b , where b is the galaxy bias parameter , is presented .
In contrast to other existing techniques that focus on estimating this quantity by measuring distortions in the redshift space galaxy-galaxy correlation function or power spectrum , this method removes the distortions by reconstructing the real space density field and determining the value of \beta that results in a symmetric signal .
To remove the distortions , the method modifies the amplitudes of a Fourier plane-wave expansion of the survey data parameterized by \beta .
This technique is not dependent on the small-angle/plane-parallel approximation and can make full use of large redshift survey data .
It has been tested using simulations with four different cosmologies and returns the value of \beta to \pm 0.031 , over a factor of two improvement over existing techniques .