Data processing method for transforming a first 3D surface suitable for coating a first object into a second 3D surface suitable for coating a second object, and associated computer program and processing device

Processing method for transforming a first surface into a second surface, according to which: a/ in a (k+1)th iteration step, for each couple comprising a first elementary surface and a second elementary surface transformed from the first elementary surface in iteration k, the projection of the second elementary surface on the plane of the first elementary surface is determined and a matrix (A) is defined for said couple, where (A)=pkt,(pt)−1 and pt=[pn+1−pi]i=1 to n, pkt,=[p′n+1,k−p′i,k]i=1 to n; b/ the second elementary surfaces obtained for the (k+1)th iteration are determined as those minimizing a function including at least the term Eshape-k+1=(B). T k + 1 t ( A ) ∑ t ~ k + 1 ∈ S ⁢  P ~ k + 1 ′ ⁡ ( P ′ ) - 1 - T k + 1 ′  2 ( B )