A novel approach for calculating galaxy rotation curves using spaxel
  cross-correlation and iterative smoothing
  Precise measurements of the internal dynamics of galaxies have proven of
great importance for understanding the internal dark matter distribution of
galaxies. We present a novel method for measuring the line-of-sight (LOS)
velocities across the face of galaxies by cross-correlation of spectral pixels
(spaxels) and an iterative method of smoothing. On simulated data the method
can accurately recover the input LOS velocities for different types of spectra
(absorption line dominated, emission line dominated, and differing shapes of
the continuum), and can handle stellar population radial gradients. Most
important of all, it continues to provide reliable measurements of LOS
velocities even when the spectra are very low signal-to-noise (approaching
$\sim 1$), which is a challenge for traditional template-fitting approaches. We
apply our method to data from a real MaNGA galaxy as a demonstration and find
promising results, with good precision. This novel approach can be
complementary to existing methods primarily based on template fitting.
