An algorithm for estimating surface normal from its boundary curves

Jisoon Park; Taewon Kim; Seung-Yeob Baek; Kunwoo Lee

doi:10.1016/j.jcde.2014.11.007

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An algorithm for estimating surface normal from its boundary curves

Journal article

Open access

Peer reviewed

An algorithm for estimating surface normal from its boundary curves

Jisoon Park, Taewon Kim, Seung-Yeob Baek and Kunwoo Lee

Journal of Computational Design and Engineering, Vol.2(1), pp.67-72

01/2015

DOI: 10.1016/j.jcde.2014.11.007

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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.

Surface modeling

Computer-aided design

Surface normal estimation

Curve network

Details

Title: Subtitle: An algorithm for estimating surface normal from its boundary curves
Creators: Jisoon Park - 3D Systems Korea, Inc. Innovation Center, 525, Seolleung-ro, Gangnam-gu, Seoul, Republic of Korea
Taewon Kim - School of Mechanical and Aerospace Engineering, Seoul National University, 1, Gwanak-ro, Gwanak-gu, Seoul, Republic of Korea
Seung-Yeob Baek - Institute of Advanced Machinery and Design, Seoul National University, 1, Gwanak-ro, Gwanak-gu, Seoul, Republic of Korea
Kunwoo Lee - School of Mechanical and Aerospace Engineering, Seoul National University, 1, Gwanak-ro, Gwanak-gu, Seoul, Republic of Korea
Resource Type: Journal article
Publication Details: Journal of Computational Design and Engineering, Vol.2(1), pp.67-72
DOI: 10.1016/j.jcde.2014.11.007
ISSN: 2288-4300
eISSN: 2288-5048
Publisher: Elsevier B.V
Grant note: DOI: 10.13039/501100003725, name: National Research Foundation of Korea, award: 2013-065185; DOI: 10.13039/501100003621, name: Ministry of Science, ICT and Future Planning, award: 2013R1A6A3A04058094
Language: English
Date published: 01/2015
Academic Unit: Electrical and Computer Engineering; Industrial and Systems Engineering; Radiation Oncology
Record Identifier: 9984047695402771

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