Full Text:   <2031>

CLC number: TP391

On-line Access: 

Received: 2006-04-06

Revision Accepted: 2006-04-19

Crosschecked: 0000-00-00

Cited: 0

Clicked: 4439

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.7 P.1241-1246


Reconstruction from contour lines based on bi-cubic Bézier spline surface

Author(s):  LI Zhong, MA Li-zhuang, TAN Wu-zheng, ZHAO Ming-xi

Affiliation(s):  Department of Mathematics and Science, Zhejiang Sci-Tech University, Hangzhou 310018, China; more

Corresponding email(s):   lizhongzju@hotmail.com

Key Words:  Contour, Surface reconstruction, Bi-cubic Bé, zier surface, G2 continuity

LI Zhong, MA Li-zhuang, TAN Wu-zheng, ZHAO Ming-xi. Reconstruction from contour lines based on bi-cubic Bézier spline surface[J]. Journal of Zhejiang University Science A, 2006, 7(7): 1241-1246.

@article{title="Reconstruction from contour lines based on bi-cubic Bézier spline surface",
author="LI Zhong, MA Li-zhuang, TAN Wu-zheng, ZHAO Ming-xi",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Reconstruction from contour lines based on bi-cubic Bézier spline surface
%A LI Zhong
%A MA Li-zhuang
%A TAN Wu-zheng
%A ZHAO Ming-xi
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 7
%P 1241-1246
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1241

T1 - Reconstruction from contour lines based on bi-cubic Bézier spline surface
A1 - LI Zhong
A1 - MA Li-zhuang
A1 - TAN Wu-zheng
A1 - ZHAO Ming-xi
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 7
SP - 1241
EP - 1246
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A1241

A novel reconstruction method from contours lines is provided. First, we use a simple method to get rid of redundant points on every contour, then we interpolate them by using cubic Bézier spline curve. For corresponding points of different contours, we interpolate them by the cubic Bézier spline curve too, so the whole surface can be reconstructed by the bi-cubic Bé;zier spline surface. The reconstructed surface is smooth because every Bézier surface is patched with g2 continuity, the reconstruction speed is fast because we can use the forward elimination and backward substitution method to solve the system of tridiagonal equations. We give some reconstruction examples at the end of this paper. Experiments showed that our method is applicable and effective.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Bajscy, R., Solin, R., 1987. Three-dimensional Object Representation Revisited. Proceedings of the IEEE Conference on Computer Vision, p.231-240.

[2] Bernhard, G., 1993. Three-dimensional Modeling of Human Organs and its Application to Diagnosis and Surgical Planning. Sophia Antipolis, Inria.

[3] Chang, L., Chen, H., Ho, J., 1991. Reconstruction of 3D medical images: a nonlinear interpolation technique for reconstruction of 3D medical images. CVGIP: Graphical Model and Image Processing, 53(4):382-391.

[4] Choi, Y.K., Park, K.H., 1994. A heuristic triangulation algorithm for multiple planar contours using an extended double branching procedure. The Visual Computer, 10(7):372-387.

[5] Farin, G., 1997. Curves and Surfaces for Computer-aided Geometric Design: A Practical Guide, 4th Ed. Academic Press, San Diego.

[6] Jaillet, F., Shariat, B., Vandorpe, D., 1997. Deformable Volume Object Modeling with a Partical-based System for Medical Applications. Proceedinggs of the WSCG’97, p.192-201.

[7] Keppel, E., 1975. Approximating complex surface by triangulation of contour lines. IBM Journal of Research and Development, 19:2-11.

[8] Muraki, S., 1991. Volumetric shape description of range data using ‘blobby Model’. Computer Graphics, 25(4):227-235.

[9] Park, H., Kim, K., 1995. 3-D shape reconstruction from 2-D cross-sections. Journal of Design and Manufacturing, 5:171-185.

[10] Park, H., Kim, K., 1996. Smooth surface approximation to serial cross-sections. Computer-Aided Design, 28(12):995-1005.

Open peer comments: Debate/Discuss/Question/Opinion


Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2022 Journal of Zhejiang University-SCIENCE