A method for three-dimensional registering three-dimensional representations of an object on the object itself, using a referencing ancillary fixed to the object, a stylus, a tip of which can be located in a three-dimensional reference frame linked to the referencing ancillary, and an instrument, a functional tip of which can be located in the three-dimensional reference frame linked to the referencing ancillary, comprising:
- a memory storage of a first three-dimensional representation of the object according to a first three-dimensional imaging mode and of locations of at least three reference points of the object in this said first three-dimensional representation;
- a three-dimensional angular registration, by a computing unit, of this said first three-dimensional representation on the object from a recording, using the tip of the stylus, of locations of the object's reference points in the three-dimensional reference frame linked to the referencing ancillary;
- a three-dimensional surface registration, by the computing unit, of this said first three-dimensional representation on the object comprising:
- extracting a surface of the object in the first three-dimensional representation,
- recording the locations of a plurality of surface points other than the reference points on the surface of the object in the three-dimensional reference frame linked to the referencing ancillary, and
- computing the three-dimensional surface registration from said surface point location recording;
- a memory storage of a second three-dimensional representation of the object according to a second three-dimensional imaging mode, other than the first three-dimensional imaging mode, and of locations of the reference points of the object in said second three-dimensional representation;
- a three-dimensional registration of this said second three-dimensional representation of the object on the object itself;
- and
- a simultaneous display of several planar cross-sectional reconstructions of the object;
- the three-dimensional registration of the second three-dimensional representation comprising a three-dimensional surface registration of this said second three-dimensional representation, by the computing unit, on the basis of the recording of the locations of surface points carried out for the surface registration of the first three-dimensional representation;
- wherein the locations of the plurality of surface points other than the reference points on the surface of the object are recorded in the three-dimensional reference frame linked to the referencing ancillary using the tip of the stylus;
- and
- wherein the display can be switched between a plurality of planar cross-sectional reconstructions of the object according to the first three-dimensional representation, a plurality of planar cross-sectional reconstructions of the object according to the second three-dimensional representation and a plurality of planar cross-sectional reconstructions of the object according to the first and second three-dimensional representations, said switching being activatable by a predetermined approach between the functional end of the instrument and a calibration pin of the referencing ancillary.