TiPi is a Java Toolkit for Inverse Problems and Imaging developed as part of the MiTiV project http://mitiv.univ-lyon1.fr/ and supported by the Magnum2 project. The objective of TiPi is to provide a framework for developping algorithms to sove inverse problems notably for image restoration. TiPi has a number of applications, for instance: Astronomy: TiPi is used for the deblurring and denoising of astronomical images. Magnum2 project: TiPi is used to repair (inpainting) and enhance (deblurring and denoising) images of license plates before automatic OCR. Microscopy: TiPi is exploited to implement the Icy plugins for deconvolution and blind deconvolution of 3D images.