论文信息 - The asymptotic decider: resolving the ambiguity in marching cubes

The asymptotic decider: resolving the ambiguity in marching cubes

A method for computing isovalue or contour surfaces of a trivariate function is discussed. The input data are values of the trivariate function, F/sub ijk/, at the cuberille grid points (x/sub i/, y/sub j/, z/sub k/), and the output of a collection of triangles representing the surface consisting of all points where F(x,y,z) is a constant value. The method is a modification that is intended to correct a problem with a previous method.<<ETX>>

Bernd Hamann | Gregory M. Nielson | G. Nielson | B. Hamann

[1] Arie Kaufman,et al. Volume Visualization (Tutorial) , 1991 .

[2] Y. Yoon,et al. Triangulation of scattered data in 3D space , 1988 .

[3] Gregory M. Nielson,et al. Towards animating ray-traced volume visualization , 1990, Comput. Animat. Virtual Worlds.

[4] Bernd Hamann,et al. Techniques for the interactive visualization of volumetric data , 1990, Proceedings of the First IEEE Conference on Visualization: Visualization `90.

[5] Gregory M. Nielson,et al. Modeling and visualization of scattered volumetric data , 1991, Electronic Imaging.

[6] William E. Lorensen,et al. Marching cubes: A high resolution 3D surface construction algorithm , 1987, SIGGRAPH.

[7] W. Lorensen,et al. Two algorithms for the three-dimensional reconstruction of tomograms. , 1988, Medical physics.

[8] Bernd Hamann,et al. Visualizing and modeling scattered multivariate data , 1991, IEEE Computer Graphics and Applications.

[9] J. Wilhelms,et al. Topological considerations in isosurface generation extended abstract , 1990, SIGGRAPH 1990.

[10] Gregory M. Nielson,et al. Scattered Data Interpolation and Applications: A Tutorial and Survey , 1991 .

[11] Martin J. Dürst,et al. Re , 1988 .

[12] Marc Levoy,et al. Interactive visualization of 3D medical data , 1989, Computer.