A NURBS-based solid modeling to enhance rapid prototyping in the restoration of decorative elements

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SHORT ORIGINAL PAPER

A NURBS-based solid modeling to enhance rapid prototyping in the restoration of decorative elements Michele Calì1

· Salvatore Massimo Oliveri1 · Placido Calì2 · Rita Ambu3

Received: 12 March 2020 / Accepted: 7 October 2020 © The Author(s) 2020

Abstract In this research, we describe a computer-aided approach to improve the reconstruction method of decorum in architectural surfaces and sculpture. The effects of withdrawal caused by catalysis of mold in silicone was evaluated and simulated by a NURBS-based solid modelling. A tolerance analysis model was developed to predict manufacturing precision levels. In particular, differential increment along three dimensions was performed considering different volume distributions. The methodology was validated by experimental data obtained during the coffered ceiling restoration of Teatro Massimo Vittorio Emanuele in Palermo. The proposed methodology allowed the reconstruction of decorations or fragments of decoration with high accuracy. Keywords Restoration techniques · Geometric dimensioning and tolerancing · Withdrawal · Silicon mold · Reverse engineering

1 Introduction The reconstruction of decorative or sculptural parts which are partially or totally missing and the reproduction of these pieces in appropriate and accurate proportions can be said to be one of the main problems in sculptural-architectural or archaeological restoration fields [1, 2]. This is especially true for fragments to be inserted with high precision, in size often from tenths of a millimeter to few millimeters, in shortcomings artifacts. The 3D reconstruction through modern rapid prototyping (RP) processes is not always suitable (i.e. decorative parts or sculptor cannot be reproduced in casting material

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Michele Calì [email protected] Placido Calì [email protected] Rita Ambu [email protected]

1

Department of Electric, Electronics and Computer Engineering, University of Catania, V.le A. Doria, 6, 95125 Catania, Italy

2

Arts Laboratory, Via Sclafani, 9, Acireale, Catania, Italy

3

Department of Mechanical, Chemical and Materials Engineering, University of Cagliari, via Marengo 2, 09123 Cagliari, Italy

like plaster, cement, biological resins, etc.; RP techniques are not able to make accurately cavities and undercuts) [3, 4]. The withdrawal of the mold constitutes an essential factor affecting the crafted reproduction method through silicone molds by brush or casting [5]. Using such a methodology, a model that takes into account the withdrawal of the clay and silicone can be obtained only after different efforts and empirical evaluations. Indeed, enlarging the reproduction of damaged decorative part molded in clay seems to be necessary to produce a larged mold of the original piece. In this research, an approach based on three-dimensional laser scanning technology providing a method for the supervision of geometric dimensioning and tolerancing is defined with the aim of reducing processing times and increasing the accuracy of replication of decorated architectural