  The cosmic curvature density parameter has been constrained in the present
work independent of any background cosmological model. The reconstruction is
performed adopting the non-parametric Gaussian Processes (GP). The constraints
on $\Omega_{k0}$ are obtained via a Markov Chain Monte Carlo (MCMC) analysis.
Late-time cosmological probes viz., the Supernova (SN) distance modulus data,
the Cosmic Chronometer (CC) and the radial Baryon Acoustic Oscillations
($r$BAO) measurements of the Hubble data have been utilized for this purpose.
The results are further combined with the data from redshift space distortions
(RSD) which studies the growth of large scale structure in the universe. The
only \textit{a priori} assumption is that the universe is homogeneous and
isotropic, described by the FLRW metric. Results indicate that a spatially flat
universe is well consistent in 2$\sigma$ within the domain of reconstruction
$0<z<2$ for the background data. On combining the RSD data we find that the
results obtained are consistent with spatial flatness mostly within 2$\sigma$
and always within 3$\sigma$ in the domain of reconstruction $0<z<2$.
