Abstract
A new method is presented to the B-spline surface presentation of an object defined by a set of parallel slices. For the application of B-spline inversion procedure, the methods about the data points generated are mainly introduced. The mesh of the data points is generated from interpolation curves of the vertex of the contour, which enable the interpolating surface to approximate the original object. It has the advantage that the reconstructed surface keep the smoothness in total longitudinal direction. The proposed method is also capable of handling the branching problem. Several experimental results corroborate the theory. The results show the image with high fidelity and the rendering speed are satisfactory and pleasing.
This project is supported by National Natural Science Foundation of China
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
David Meyers and Shelley Skinner Surface from contours. ACM Trans. on Graphics vol.11, No.3, 1992
Ekoule,A.B., Peyrin,F.C. and Odet,C.L. A triangulation algorithm from arbitrary shaped multiple planar contours. ACM Trans. on Graphics vol.10, No.2, 1991
Boissonnat,J.D., Shape reconstruction from planar cross-sections. Computer vision, Graphics, Image process ing Vol.44, No.1(1988)
Lounsbery, M., Loop,C., A testbed for the comparison of parametric surface methods. In SPIE Symposium on Electronic Imaging science and technology. 1990
C. C. liang, Dynamic Elastic Interpolation for 3D object Reconstruction from serial cross-sectional Images. IEEE Trans. Med. Imaging No.3, 1988
W. C. Lin and S. Y. Chen A new surface interpolation technique for reconstructing 3D objects from serial cross-sections. Comp. vision, Graphics & Image Processing 48(1989)
Y. Shinagawa and T. L. Kunii A generalized model for smooth surface generation from cross-sectional data. Visual Computer 7(1991)
C. D. Woodward Skinning techniques for interactive B-spline surface interpolation. Computer-aided design Vol.20, No.8,1988
S. Wu, J. F. Abel and D.P. Greenber, An interactive computer graphics approach to surface representation, commum. ACM, 20, No.10 1977, P703–712
Lee E t y. Choosing nodes in parametric curve interpolation. CAD, vol.21, No.6, 1989
Meihe Xu, Zesheng Tang and Junhui Deng A New Algorithm for Contours-Connection CAD/CG'95 Wuhan, China, 1995
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xu, M., Tang, Z., Deng, J. (1995). A B-spline surface interpolation technique for reconstructing 3d objects from serial arbitrary shaped planar contours. In: Chin, R.T., Ip, H.H.S., Naiman, A.C., Pong, TC. (eds) Image Analysis Applications and Computer Graphics. ICSC 1995. Lecture Notes in Computer Science, vol 1024. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60697-1_89
Download citation
DOI: https://doi.org/10.1007/3-540-60697-1_89
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60697-0
Online ISBN: 978-3-540-49298-6
eBook Packages: Springer Book Archive