A device for producing control data for a laser device for the surgical correction of defective vision. The device produces the control data such that the laser emits the laser radiation such that a volume in the cornea is isolated. The device calculates a radius of curvature RCV* to determine the control data, the cornea reduced by the volume having the radius of curvature RCV* and the radius of curvature being site-specific and satisfying the following equation: RCV*(r,&phgr)=1/((1/RCV(r,&phgr))+BCOR(r,&phgr)/(nc&minus1))+F, wherein RCV(r,&phgr) is the local radius of curvature of the cornea before the volume is removed, nc is the refractive index of the material of the cornea, F is a coefficient, and BCOR(r,&phgr) is the local change in refractive force required for the desired correction of defective vision in a plane lying in the vertex of the cornea, and at least two radii r1 and r2 satisfy the equation BCOR(r=r1,&phgr)&neBCOR(r=r2,&phgr).