An algorithm for estimating surface normal from its boundary curves. Issue 1 (6th December 2014)

• Record Type: Journal Article
• Authors: Park, Jisoon; Kim, Taewon; Baek, Seung-Yeob; Lee, Kunwoo
• Is Part Of: Journal of computational design and engineering. Volume 2:Issue 1(2015)
• Page Start: 67
• Page End: 72
• Publication Date: 2014-12-06
• Subjects: Computer-aided design -- Curve network -- Surface modeling -- Surface normal estimation; Engineering -- Data processing -- Periodicals; Computer-aided design -- Periodicals; Computer-aided design; Engineering -- Data processing; Electronic journals; Electronic journals; Periodicals; 620.0042
• DOI: 10.1016/j.jcde.2014.11.007
• Languages: English
• ISSNs: 2288-4300

Abstract

Abstract: Recently, along with the improvements of geometry modeling methods using sketch-based interface, there have been a lot of developments in research about generating surface model from 3D curves. However, surfacing a 3D curve network remains an ambiguous problem due to the lack of geometric information. In this paper, we propose a new algorithm for estimating the normal vectors of the 3D curves which accord closely with user intent. Bending energy is defined by utilizing RMF(Rotation-Minimizing Frame) of 3D curve, and we estimated this minimal energy frame as the one that accords design intent. The proposed algorithm is demonstrated with surface model creation of various curve networks. The algorithm of estimating geometric information in 3D curves which is proposed in this paper can be utilized to extract new information in the sketch-based modeling process. Also, a new framework of 3D modeling can be expected through the fusion between curve network and surface creating algorithm.