Constrained fitting of B-Spline curves based on the Force Density Method
Communication avec acte
Auteur
Date
2011Résumé
This paper presents a novelapproach for constrained B-Spline curve approximation based on the Force Density Method (FDM). This approach aims to define a flexible technique tool for curve fitting, which allows approximating a set of points taking into account shape constraints that may be related to the production process, to the material or to other technological re- quirements. After a brief introduction on the property of the FDM and the definition of the network usedfor the formulation of the fitting problem, the paper explains in detail the mathematical approach, the methods and the techniques adopted for the definition of the proposed constrained B- Splinecurve approximation. The results suggest that the adoption of a mechanical model of bar networks allows develop- ing a more flexible tool than the traditional least squared methods (LSM) usually adopted for fitting problems. Numerical examples show that the new approach is effective in fitting prob- lems when the satisfaction of shape constraints, such as those related to production orto technological processes, are required.
Fichier(s) constituant cette publication
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Documents liés
Visualiser des documents liés par titre, auteur, créateur et sujet.
-
Article dans une revue avec comité de lectureCOGNET, Bruno; RIVEST, Louis; DANJOU, Christophe; PERNOT, Jean-Philippe (Inderscience Publishers, 2021-11-29)The fourth industrial revolution is forcing companies to define their digital strategy, making it imperative that they assess their digital maturity as a basis for improvements. As a result, a variety of maturity models ...
-
Article dans une revue avec comité de lecturePRADERE, Christophe; CAUMES, Jean-Pascal; BENKHEMIS, S.; PALOMO, Elena; DILHAIRE, S.; PERNOT, Jean-Philippe; BATSALE, Jean-Christophe (American Institute of Physics, 2014)GigaHertz (GHz) thermoreflectance technique is developed to measure the transient temperature of metal and semiconductor materials located behind an opaque surface. The principle is based on the synchronous detection, using ...
-
Article dans une revue avec comité de lecturePETROV, Aleksandar; GIANNINI, Franca; VÉRON, Philippe; FALCIDIENO, Bianca; PERNOT, Jean-Philippe (Springer Verlag, 2019)Designing appealing products plays a key role in commercial success. Understanding the relationships between aesthetic properties and shape characteristics of a product can contribute to define user-friendly and interactive ...
-
Article dans une revue avec comité de lectureTo facilitate the transfer, storage and manipulation of intricate parts’ geometry whose fabrication has been made possible thanks to the rise of Additive Manufacturing (AM) technologies, an encoding framework reducing the ...
-
Communication avec acteThe emergence and improvement of Additive Manufacturing technologies allow the fabrication of complex shapes so far inconceivable. However, to produce those intricate geometries, support structures are required. Besides ...