New Weights for Estimating Normal Surface in the Triangular Mesh

Authors

  • Kawa M. A. Manmi Department of Mathematics, College of Science, University of Salahaddin, Erbil, Iraq

DOI:

https://doi.org/10.23918/eajse.v3i2p19

Keywords:

Averaging Normal Vector, Triangular Mesh, Weight Factors, Toroidal Surface

Abstract

The normal vector at a node on the discrete surface is not unique, when a surface discretized by triangular elements. A widely used technique to estimate the normal vector at a giving node is a weighted average of the exact normal of the surrounding triangular elements. In this paper, two weight factors proposed to estimate the normal vector at a node in the triangular mesh. The numerical comparisons are performed between the new weights and with some existing weights for the two knowing geometrical surface.

Downloads

Download data is not yet available.

References

Chen, S. G. & Wu, J. Y. (2004). Estimating normal vectors and curvatures by centroid weights.

Computer Aided Geometric Design, 21(5), 447-458.

Gouraud, H. (1971). Continuous shading of curved surfaces. IEEE Transactions on Computers,

100(6), 623-629.

Hoffman, R., & Jain, A. K. (1987). Segmentation and classification of range images. IEEE

Transactions on Pattern Analysis and Machine Intelligence, (5), 608-620.

Huang, J., & Menq, C.H. (2001). Automatic data segmentation for geometric feature extraction from

unorganized 3-D coordinate points. IEEE Transactions on Robotics and Automation, 17(3),

268-279.

Meek, D. S., & Walton, D. J. (2000). On surface normal and Gaussian curvature approximations

given data sampled from a smooth surface. Computer Aided Geometric Design, 17(6), 521-

543.

Milroy, M. J., Bradley, C., & Vickers, G. W. (1997). Segmentation of a wrap-around model using an

active contour. Computer-Aided Design, 29(4), 299-320.

Phong, B. T. (1975). Illumination for computer generated pictures. Communications of the ACM,

18(6), 311-317.

Schaufler, G., & Jensen, H.W. (2000). Ray tracing point sampled geometry. Rendering Techniques

2000: 11th Eurographics Workshop on Rendering ( 319-328).

Taubin, G. (1995). Estimating the tensor of curvature of a surface from a polyhedral approximation.

In Computer Vision, 1995. Proceedings., Fifth International Conference on (902-907). IEEE.

Ubach, P.A., Estruch, C., & Garcia‐Espinosa, J. (2013). On the interpolation of normal vectors for

triangle meshes. International Journal for Numerical Methods in Engineering, 96(4), p.247-

268.

Woo, H., Kang, E., Wang, S., & Lee, K.H. 2002. A new segmentation method for point cloud data.

International Journal of Machine Tools and Manufacture, 42(2), 167-178.

Yang, M., & Lee, E., (1999). Segmentation of measured point data using a parametric quadric

surface approximation. Computer-Aided Design, 31(7), 449-457.

Zhang, Y.L., Yeo, K.S., Khoo, B.C., & Wang, C. (2001). 3D jet impact and toroidal bubbles.

Journal of Computational Physics, 166(2), 336-360.

Downloads

Published

2017-12-01

Issue

Section

Articles

How to Cite

Manmi, K. M. A. (2017). New Weights for Estimating Normal Surface in the Triangular Mesh. EURASIAN JOURNAL OF SCIENCE AND ENGINEERING, 3(2), 19-23. https://doi.org/10.23918/eajse.v3i2p19

Similar Articles

51-60 of 127

You may also start an advanced similarity search for this article.