Abstract
Irregular mesh depth sorting plays an important role for volume rendering in scientific visualization. In recent years, some algorithms have been proposed for the depth sorting of irregular convex meshes, but less attention has been devoted to the depth sorting of non-convex meshes. In this paper, two different approaches for converting non-convex meshes into convex meshes are proposed. The first one is to fill original meshes with a set of tetrahedra on the exterior boundaries of meshes. The second one is to take the plane of exterior faces of meshes to divide the space until each subspace includes only one acyclic convex submesh. The subdivision process is represented by a binary tree, Binary Mesh Partitioning tree (BMP tree). Theoretical analysis and experimental results are shown.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
A. M. Day, “The Implementation or An Algorithm to Find the Convex Hull of a Set of 3D Points”, ACM Trans. on Graphics, Vol. 9, No. 1, Jan. 1990, pp. 105–132.
T. Fruhauf. “ Raycasting of Nonregularly Structured Volume Data”, Computer Graphics Forum (Eurographics'94), Vol. 13, No. 3, 1994.
C. Giertsen, “Volume Visualization of Sparse Irregular Meshes,” IEEE CG&A, Vol. 12, No. 2, March 1992, pp. 40–48.
M. Garrity, “ Raytracing Irregular Volume Data”, Computer Graphics, Vol. 24, No. 5, 1990.
N. Max, P. Hanrahan, and R. Crawfis, “Area and Volume Coherence for Efficient Visualization of 3D Scalar Functions,” Computer Graphics, Vol. 24, No.5, Nov. 1990, pp. 27–33.
M. S. Paterson and F. F. Yao, “Binary Partitions with Application to Hidden-Surface Removal and Solid Modeling”, In Proc. 5th Annual Symposium on Computational Geometry, June 1989, pp.23–32.
P. Speray and S. Kennon, “Volume Probe: Interactive Data Exploration on Arbitrary Grids”, Computer Graphics, Vol. 24, No. 5, 1990, pp. 5–12.
W. C. Thibault and B. F. Naylor, “Set Operations on Polyhedra Using Binary Space Partitioning Trees”, Computer Graphics. Vol. 21, No.4 July 1987. pp. 153–162.
B. Tabatabai, E. A. Sessarego, and H. F. Mayer, “Volume Rendering on Nonregular Grids”, Computer Graphics Forum (Eurographics'94), Vol. 13, No. 3, 1994.
J. Wilhelms and A.V. Gelder, “A Coherent Projection Approach to Direct Volume Rendering”, Computer Graphics, Vol. 25, No.4, July 1991, pp. 275–284.
P. L. Williams, “Visibility Ordering Meshed Polyhedra”, ACM Transaction on Graphics, Vol. 11, No. 2, April 1992, pp. 103–126.
Yong Zhou and Zesheng Tang, “Constructing Isosurfaccs in 3D Data Sets Taking Account of Polyhedra Depth Sorting”, Journal of Computer Science and Technology, Vol.9, No. 2, April 1994.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhou, Y., Tang, Z. (1995). Convert non-convex meshes to convex meshes for depth sorting in volume rendering. 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_106
Download citation
DOI: https://doi.org/10.1007/3-540-60697-1_106
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