Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching

Junghoon KWON; Jeongin LEE; Harksu KIM; Gilsoo JANG; Youngho CHAI

doi:10.1587/transinf.E93.D.167

Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching

Junghoon KWON, Jeongin LEE, Harksu KIM, Gilsoo JANG, Youngho CHAI

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Designing NURBS surfaces by manipulating control points directly requires too much trial and error for immersive VR applications. A more natural interface is provided by deforming a NURBS surface so that it passes through a given target point; and by repeating such deformations we can make the surface follow one or more target curves. These deformations can be achieved by modifying the pseudo-inverse matrix of the basis functions, but this matrix is often ill-conditioned. However, the application of a modified FE approach to the weights and control points provides controllable deformations, which are demonstrated across a range of example shapes.

Publication: IEICE TRANSACTIONS on Information Vol.E93-D No.1 pp.167-175

Publication Date: 2010/01/01

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Online ISSN: 1745-1361

DOI: 10.1587/transinf.E93.D.167

Type of Manuscript: PAPER

Category: Computer Graphics

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Junghoon KWON, Jeongin LEE, Harksu KIM, Gilsoo JANG, Youngho CHAI, "Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching" in IEICE TRANSACTIONS on Information, vol. E93-D, no. 1, pp. 167-175, January 2010, doi: 10.1587/transinf.E93.D.167.
Abstract: Designing NURBS surfaces by manipulating control points directly requires too much trial and error for immersive VR applications. A more natural interface is provided by deforming a NURBS surface so that it passes through a given target point; and by repeating such deformations we can make the surface follow one or more target curves. These deformations can be achieved by modifying the pseudo-inverse matrix of the basis functions, but this matrix is often ill-conditioned. However, the application of a modified FE approach to the weights and control points provides controllable deformations, which are demonstrated across a range of example shapes.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.E93.D.167/_p

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@ARTICLE{e93-d_1_167,
author={Junghoon KWON, Jeongin LEE, Harksu KIM, Gilsoo JANG, Youngho CHAI, },
journal={IEICE TRANSACTIONS on Information},
title={Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching},
year={2010},
volume={E93-D},
number={1},
pages={167-175},
abstract={Designing NURBS surfaces by manipulating control points directly requires too much trial and error for immersive VR applications. A more natural interface is provided by deforming a NURBS surface so that it passes through a given target point; and by repeating such deformations we can make the surface follow one or more target curves. These deformations can be achieved by modifying the pseudo-inverse matrix of the basis functions, but this matrix is often ill-conditioned. However, the application of a modified FE approach to the weights and control points provides controllable deformations, which are demonstrated across a range of example shapes.},
keywords={},
doi={10.1587/transinf.E93.D.167},
ISSN={1745-1361},
month={January},}

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TY - JOUR
TI - Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching
T2 - IEICE TRANSACTIONS on Information
SP - 167
EP - 175
AU - Junghoon KWON
AU - Jeongin LEE
AU - Harksu KIM
AU - Gilsoo JANG
AU - Youngho CHAI
PY - 2010
DO - 10.1587/transinf.E93.D.167
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E93-D
IS - 1
JA - IEICE TRANSACTIONS on Information
Y1 - January 2010
AB - Designing NURBS surfaces by manipulating control points directly requires too much trial and error for immersive VR applications. A more natural interface is provided by deforming a NURBS surface so that it passes through a given target point; and by repeating such deformations we can make the surface follow one or more target curves. These deformations can be achieved by modifying the pseudo-inverse matrix of the basis functions, but this matrix is often ill-conditioned. However, the application of a modified FE approach to the weights and control points provides controllable deformations, which are demonstrated across a range of example shapes.
ER -