Abstract: The invention relates to an imaging device DEV comprising means for interpolating SIP a surface D from a set S of paths. Said imaging device DEV includes determination means UIF for determining at least two closed termination curves C1 and C2, said termination curves C1 and C2 joining points of the set S of paths, namely one point for each path of the set S of paths, in such a way that the set S of paths constitutes a junction between the two termination curves C1 and C2. Said surface interpolation for interpolating a surface D is constrained according to the invention by said set S of paths and said termination curves C1 and C2. The invention enables very fast interpolation of a surface while providing an analytical expression of this surface.