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We present T-PHOT, a publicly available software aimed at extracting accuratephotometry from low-resolution images of deep extragalactic fields, where theblending of sources can be a serious problem for the accurate and unbiasedmeasurement of fluxes and colours. T-PHOT has been developed within theASTRODEEP project and it can be considered as the next generation to TFIT,providing significant improvements above it and other similar codes. T-PHOTgathers data from a high-resolution image of a region of the sky, and uses itto obtain priors for the photometric analysis of a lower resolution image ofthe same field. It can handle different types of datasets as input priors: i) alist of objects that will be used to obtain cutouts from the realhigh-resolution image; ii) a set of analytical models; iii) a list ofunresolved, point-like sources, useful e.g. for far-infrared wavelengthdomains. We show that T-PHOT yields accurate estimations of fluxes within theintrinsic uncertainties of the method, when systematic errors are taken intoaccount (which can be done thanks to a flagging code given in the output).T-PHOT is many times faster than similar codes like TFIT and CONVPHOT (up tohundreds, depending on the problem and the method adopted), whilst at the sametime being more robust and more versatile. This makes it an optimal choice forthe analysis of large datasets. In addition we show how the use of differentsettings and methods significantly enhances the performance. Given itsversatility and robustness, T-PHOT can be considered the preferred choice forcombined photometric analysis of current and forthcoming extragalactic opticalto far-infrared imaging surveys. [abridged]

T-PHOT: A new code for PSF-matched, prior-based, multiwavelength extragalactic deconfusion photometry