  We aim to obtain high-quality time-resolved spectral fits of gamma-ray bursts
(GRBs) observed by the Gamma-ray Burst Monitor (GBM) on board the Fermi
Gamma-ray Space Telescope. We perform time-resolved spectral analysis with high
temporal and spectral resolution of the brightest bursts observed by Fermi GBM
in its first 4 years of mission. We present the complete catalog containing
1,491 spectra from 81 bursts with high spectral and temporal resolution.
Distributions of parameters, statistics of the parameter populations,
parameter-parameter and parameter-uncertainty correlations, and their exact
values are obtained and presented as main results in this catalog. We report a
criterion that is robust enough to automatically distinguish between different
spectral evolutionary trends between bursts. We also search for plausible
blackbody emission components and find that only 3 bursts (36 spectra in total)
show evidence of a pure Planck function. It is observed that the averaged
time-resolved low-energy power-law index and peak energy are slightly harder
than the time-integrated values. Time-resolved spectroscopic results should be
used when interpreting physics from the observed spectra, instead of the
time-integrated results.
