T-PHOT version 2.0: Improved algorithms for background subtraction, local convolution, kernel registration, and new options

Aims. We present the new release - version 2.0-of T-PHOT, a publicly available software package developed to perform PSF-matched, prior-based, multiwavelength deconfusion photometry of extragalactic fields. Methods. New features included in the code are presented and discussed: background estimation, fitting using position dependent kernels, flux prioring, diagnostical statistics on the residual image, exclusion of selected sources from the model and residual images, and individual registration of fitted objects. Results. The new options improve on the performance of the code, allowing for more accurate results and providing useful aids for diagnostics.