2021-04-202021-04-202019Boutry, N., González Díaz, R. y Jiménez Rodríguez, M.J. (2019). Weakly well-composed cell complexes over nD pictures. Information Sciences, 499 (October 2019), 62-83.0020-0255https://hdl.handle.net/11441/107428In previous work we proposed a combinatorial algorithm to \locally repair" the cubical complex Q(I) that is canonically associated with a given 3D picture I. The algorithm constructs a 3D polyhedral complex P(I) which is homotopy equivalent to Q(I) and whose boundary surface is a 2D manifold. A polyhedral complex satisfying these properties is called well-composed. In the present paper we extend these results to higher dimensions. We prove that for a given n- dimensional picture the obtained cell complex is well-composed in a weaker sense but is still homotopy equivalent to the initial cubical complex.application/pdf36engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Digital topologyDiscrete geometryWell-composednessCubical complexesSimplicial complexesCell complexesManifoldsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.ins.2018.06.00521477644