Four-dimensional views of 3D scalar fields

Scalar functions of three variables, w=f(x, y, z), are common in many types of scientific and medical applications. Such 3D scalar fields can be understood as elevation maps in four dimensions, with three independent variables (x, y, z) and a fourth, dependent, variable w that corresponds to the elevations. It is shown how techniques developed originally for the display of 3-manifolds in 4D Euclidean space can be adapted to visualize 3D scalar fields in a variety of ways.<<ETX>>

[1]  van DamAndries,et al.  The Application Visualization System , 1989 .

[2]  James C. Miller,et al.  Computer graphics principles and practice, second edition , 1992, Comput. Graph..

[3]  David H. Laidlaw,et al.  The application visualization system: a computational environment for scientific visualization , 1989, IEEE Computer Graphics and Applications.

[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]  Pheng-Ann Heng,et al.  Illuminating the fourth dimension , 1992, IEEE Computer Graphics and Applications.

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

[7]  Peter Shirley,et al.  A polygonal approximation to direct scalar volume rendering , 1990, SIGGRAPH 1990.

[8]  Steven K. Feiner,et al.  Visualizing n-dimensional virtual worlds with n-vision , 1990, I3D '90.

[9]  Pheng-Ann Heng,et al.  Visualizing the fourth dimension using geometry and light , 1991, Proceeding Visualization '91.

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

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

[12]  W. Krueger.  The application of transport theory to visualization of 3D scalar data fields , 1990, Proceedings of the First IEEE Conference on Visualization: Visualization `90.