Recovering the 3D B-Spline Control Points of the Free Curves for Shape Reforming
Summary :
This paper presents an accurate method for finding the 3D control points of the B-Spline curves. This method can automatically fit a set of data points with piecewise geometrically continuous cubic B-Spline curves. Iterating algorithm has been used for finding the 2D control points. And a new approach for shape reconstruction based on the control points of the curves on the object's surface is proposed. B-Spline patch, the extension of the B-Spline curves to surface, provides recovering the shape of the object in 2D approach. The 3D control points of the cubic B-Spline curves are computed from the factor decomposition of the measurement matrix of 2D control points. The multiple object approach is also proposed to reconstruct the 3D shape of each curves of an object. Some experiments are demonstrated to confirm the effectiveness of our proposed method.
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- IEICE TRANSACTIONS on Information Vol.E84-D No.8 pp.983-989
- Publication Date
- 2001/08/01
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- Special Section PAPER (Special Issue on Image Recognition and Understanding)
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Myint Myint SEIN, Hiromitsu HAMA, "Recovering the 3D B-Spline Control Points of the Free Curves for Shape Reforming" in IEICE TRANSACTIONS on Information,
vol. E84-D, no. 8, pp. 983-989, August 2001, doi: .
Abstract: This paper presents an accurate method for finding the 3D control points of the B-Spline curves. This method can automatically fit a set of data points with piecewise geometrically continuous cubic B-Spline curves. Iterating algorithm has been used for finding the 2D control points. And a new approach for shape reconstruction based on the control points of the curves on the object's surface is proposed. B-Spline patch, the extension of the B-Spline curves to surface, provides recovering the shape of the object in 2D approach. The 3D control points of the cubic B-Spline curves are computed from the factor decomposition of the measurement matrix of 2D control points. The multiple object approach is also proposed to reconstruct the 3D shape of each curves of an object. Some experiments are demonstrated to confirm the effectiveness of our proposed method.
URL: https://global.ieice.org/en_transactions/information/10.1587/e84-d_8_983/_p
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@ARTICLE{e84-d_8_983,
author={Myint Myint SEIN, Hiromitsu HAMA, },
journal={IEICE TRANSACTIONS on Information},
title={Recovering the 3D B-Spline Control Points of the Free Curves for Shape Reforming},
year={2001},
volume={E84-D},
number={8},
pages={983-989},
abstract={This paper presents an accurate method for finding the 3D control points of the B-Spline curves. This method can automatically fit a set of data points with piecewise geometrically continuous cubic B-Spline curves. Iterating algorithm has been used for finding the 2D control points. And a new approach for shape reconstruction based on the control points of the curves on the object's surface is proposed. B-Spline patch, the extension of the B-Spline curves to surface, provides recovering the shape of the object in 2D approach. The 3D control points of the cubic B-Spline curves are computed from the factor decomposition of the measurement matrix of 2D control points. The multiple object approach is also proposed to reconstruct the 3D shape of each curves of an object. Some experiments are demonstrated to confirm the effectiveness of our proposed method.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Recovering the 3D B-Spline Control Points of the Free Curves for Shape Reforming
T2 - IEICE TRANSACTIONS on Information
SP - 983
EP - 989
AU - Myint Myint SEIN
AU - Hiromitsu HAMA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E84-D
IS - 8
JA - IEICE TRANSACTIONS on Information
Y1 - August 2001
AB - This paper presents an accurate method for finding the 3D control points of the B-Spline curves. This method can automatically fit a set of data points with piecewise geometrically continuous cubic B-Spline curves. Iterating algorithm has been used for finding the 2D control points. And a new approach for shape reconstruction based on the control points of the curves on the object's surface is proposed. B-Spline patch, the extension of the B-Spline curves to surface, provides recovering the shape of the object in 2D approach. The 3D control points of the cubic B-Spline curves are computed from the factor decomposition of the measurement matrix of 2D control points. The multiple object approach is also proposed to reconstruct the 3D shape of each curves of an object. Some experiments are demonstrated to confirm the effectiveness of our proposed method.
ER -
English
