We present significant improvements in cosmic distance measurements from the WiggleZ Dark Energy Survey , achieved by applying the reconstruction of the baryonic acoustic feature technique .
We show using both data and simulations that the reconstruction technique can often be effective despite patchiness of the survey , significant edge effects and shot-noise .
We investigate three redshift bins in the redshift range 0.2 < z < 1 , and in all three find improvement after reconstruction in the detection of the baryonic acoustic feature and its usage as a standard ruler .
We measure model independent distance measures D _ { \mathrm { V } } \left ( r _ { \mathrm { s } } ^ { \mathrm { fid } } / r _ { \mathrm { s } } \right ) of 1716 \pm 83 Mpc , 2221 \pm 101 Mpc , 2516 \pm 86 Mpc ( 68 \% CL ) at effective redshifts z = 0.44 , 0.6 , 0.73 , respectively , where D _ { V } is the volume-average-distance , and r _ { s } is the sound horizon at the end of the baryon drag epoch .
These significantly improved 4.8 , 4.5 and 3.4 per-cent accuracy measurements are equivalent to those expected from surveys with up to 2.5 times the volume of WiggleZ without reconstruction applied .
These measurements are fully consistent with cosmologies allowed by the analyses of the Planck Collaboration and the Sloan Digital Sky Survey .
We provide the D _ { \mathrm { V } } \left ( r _ { \mathrm { s } } ^ { \mathrm { fid } } / r _ { \mathrm { s } } \right ) posterior probability distributions and their covariances .
When combining these measurements with temperature fluctuations measurements of Planck , the polarization of WMAP9 , and the 6dF Galaxy Survey baryonic acoustic feature , we do not detect deviations from a flat \Lambda CDM model .
Assuming this model we constrain the current expansion rate to H _ { 0 } = 67.15 \pm 0.98 kms ^ { -1 } Mpc ^ { -1 } .
Allowing the equation of state of dark energy to vary we obtain w _ { DE } = -1.080 \pm 0.135 .
When assuming a curved \Lambda CDM model we obtain a curvature value of \Omega _ { K } = -0.0043 \pm 0.0047 .