Three-dimensional weaving method with yarn exit

A method for three-dimensionally weaving a texture between a plurality of layers of warp yarns superimposed along a vertical direction and a plurality of weft yarns extending along a horizontal direction, the weaving being performed by means of a weaving loom comprising a plurality of control yarns, a first end of each control yarn being connected to a Jacquard mechanism able to displace the control yarns along the vertical direction between a neutral position and at least one position for opening the warp yarns, each control yarn being further provided with an eyelet through which a warp yarn passes, the weaving loom further comprising at least one rapier present downstream of the control yarns able to pass through the weaving loom along a fixed horizontal reference path and to draw a weft yarn from a bobbin,

• wherein the method further comprises at least one warp exit step comprising:
• displacing, along the vertical direction, all or part of the warp yarns of at least one underlying layer of warp yarns of the plurality of layers of warp yarns, said displaced warp yarns being intended to be exited from the texture, over a determined distance extending beyond a layer of warp yarns present on the surface of the plurality of layers of warp yarns, so that the displaced warp yarn(s) are disposed above the reference path and so that the rest of the non-exited warp yarns is disposed below the reference path, or so that the displaced warp yarn(s) are disposed below the reference path and so that the rest of the non-exited warp yarns are disposed above the reference path, then
• the rapier passing through the weaving loom along the reference path without drawing any weft yarn.