Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Polygonization of implicit surfaces
Computer Aided Geometric Design
Distributed scientific video movie making
Proceedings of the 1988 ACM/IEEE conference on Supercomputing
Scan line display of algebraic surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
A viewer for mathematical structures and surfaces in 3D
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
The WINSOM solid modeller and its application to data visualization
IBM Systems Journal
Topological considerations in isosurface generation extended abstract
VVS '90 Proceedings of the 1990 workshop on Volume visualization
Re: additional reference to "marching cubes"
ACM SIGGRAPH Computer Graphics
V-buffer: visible volume rendering
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Artificial texturing: An aid to surface visualization
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Ray tracing algebraic surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Accurate display of tensor product isosurfaces
VIS '90 Proceedings of the 1st conference on Visualization '90
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The interactive visualization of equations in 3D is potentially an important tool for both research and education. We describe a method of visualizing equations in their explicit form using 3D fields. Equations are written algebraically, interpreted by an equation parser and then expressed as scalar fields. Fields are represented as isosurfaces making use of an algorithm similar to the method of marching cubes. The implementation allows the real time interaction of equation parameters, isosurface and colouring. A variety of applications from mathematics and physics are given together with examples of the construction of data probes using equations.