Abstract : This document describes the early experimental effort at Jefferson Lab to unravel the Generalized Parton Distributions (GPD), using the Deeply Virtual Compton Scattering (DVCS) process. The GPDs contain the usual form factors and parton distribution functions, but in addition, they include correlations between states of different longitudinal and transverse momenta. They therefore give access to a three-dimensional picture of the nucleon. DVCS is the cleanest process allowing to extract GPDs, and as early as 2000, a number of experiments were proposed for this purpose. The results of the first exploratory experiments are presented as well as the first measurements of linear combinations of GPDs. In addition, a thorough discussion on the insights gained from these early experiments is proposed, linked with the theoretical tools used to extract GPDs from DVCS data. Finally, improvements on what was done for this first experimental phase are proposed and discussed, and new proposals and measurements are described.