  We present an atlas of ultraviolet and infrared images of ~15,750 local (d <
50 Mpc) galaxies, as observed by NASA's WISE and GALEX missions. These maps
have matched resolution (FWHM 7.5'' and 15''), matched astrometry, and a common
procedure for background removal. We demonstrate that they agree well with
resolved intensity measurements and integrated photometry from previous
surveys. This atlas represents the first part of a program (the z=0
Multi-wavelength Galaxy Synthesis) to create a large, uniform database of
resolved measurements of gas and dust in nearby galaxies. The images and
associated catalogs are publicly available at the NASA/IPAC Infrared Science
Archive. This atlas allows us estimate local and integrated star formation
rates (SFRs) and stellar masses (M$_\star$) across the local galaxy population
in a uniform way. In the appendix, we use the population synthesis fits of
Salim et al. (2016, 2018) to calibrate integrated M$_\star$ and SFR estimators
based on GALEX and WISE. Because they leverage an SDSS-base training set of
>100,000 galaxies, these calibrations have high precision and allow us to
rigorously compare local galaxies to Sloan Digital Sky Survey results. We
provide these SFR and M$_\star$ estimates for all galaxies in our sample and
show that our results yield a "main sequence" of star forming galaxies
comparable to previous work. We also show the distribution of intensities from
resolved galaxies in NUV-to-WISE1 vs. WISE1-to-WISE3 space, which captures much
of the key physics accessed by these bands.
