Recovering the 3D B-Spline control points of the free curves for shape reforming

被引：0

作者：

Sein, M.M. ^{[1
]}

Hama, H. ^{[1
]}

机构：

[1] Dept. of Info. and Commun. Eng., Osaka City University, Osaka-shi, 558-8585, Japan

来源：

IEICE Transactions on Information and Systems | 2001年 / E84-D卷 / 08期

关键词：

Computer aided design - Feature extraction - Image reconstruction - Image retrieval - Image segmentation - Interactive computer graphics - Iterative methods - Learning algorithms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：983 / 989

共 50 条

[1] Recovering the 3D B-Spline control points of the free curves for shape reforming
Sein, MM
Hama, H
IEICE TRANSACTIONS ON INFORMATION AND SYSTEMS, 2001, E84D (08): : 983 - 989
[2] 3D Reconstruction of parametric curves: Recovering the control points
Bhuiyan, Md Al-Amin
Hama, Hiromitsu
Machine Graphics and Vision, 2004, 13 (04): : 307 - 328
[3] Shape control for rational cubic uniform B-spline curves
Lei, Kai-Bin
Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design & Computer Graphics, 2000, 12 (08): : 601 - 604
[4] Shape Control and Modification of Rational Cubic B-Spline Curves
Zhao Hongsheng
Zhang Mandong(Department of Mechanical EngineeringTaiyuan University of Technology
Computer Aided Drafting,Design and Manufacturing, 1999, Design and Manufacturing.1999 (01) : 17 - 23
[5] PARAMETRIZATION AND SHAPE OF B-SPLINE CURVES FOR CAD
HARTLEY, PJ
JUDD, CJ
COMPUTER-AIDED DESIGN, 1980, 12 (05) : 235 - 238
[6] Shape control of cubic B-spline and NURBS curves by knot modifications
Hoffmann, M
Juhász, I
FIFTH INTERNATIONAL CONFERENCE ON INFORMATION VISUALISATION, PROCEEDINGS, 2001, : 63 - 68
[7] MODELING CURVES BY A QUADRATIC TRIGONOMETRIC B-SPLINE WITH POINT SHAPE CONTROL
Sarfraz, M.
Samreen, S.
Hussain, M. Z.
PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 340 - 342
[8] An interactive system of modeling 3D trees with ball B-Spline Curves
Wu, Zhongke
Zhou, Mingquan
Wang, Xingce
Ao, Xuefeng
Song, Rongqing
PMA 2006: SECOND INTERNATIONAL SYMPOSIUM ON PLANT GROWTH MODELING, SIMULATION, VISUALIZATION AND APPLICATIONS, PROCEEDINGS, 2007, : 259 - 265
[9] GENERATING THE BEZIER POINTS OF B-SPLINE CURVES AND SURFACES
BOHM, W
COMPUTER-AIDED DESIGN, 1981, 13 (06) : 365 - 366
[10] A comparative analysis of B-spline deformation models in 3D shape matching
Langerak, T. R.
Song, Y.
WSCG 2010: FULL PAPERS PROCEEDINGS, 2010, : 143 - +

← 1 2 3 4 5 →