SIGGRAPH '79 Proceedings of the 6th annual conference on Computer graphics and interactive techniques
A system for designing and approximating aesthetically smooth curves withinteractive graphic controls
A language for shading and lighting calculations
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Illumination from curved reflectors
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Second-order surface analysis using hybrid symbolic and numeric operators
ACM Transactions on Graphics (TOG)
Toolglass and magic lenses: the see-through interface
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
User interfaces for three-dimensional geometric modelling
I3D '86 Proceedings of the 1986 workshop on Interactive 3D graphics
Methods for Detecting Errors in Numerically Controlled Machining of Sculptured Surfaces
IEEE Computer Graphics and Applications
Curvature and the Fairness of Curves and Surfaces
IEEE Computer Graphics and Applications
Experiments with Curvature-Continuous Patch-Boundary Fitting
IEEE Computer Graphics and Applications
The Curvature of Characteristic Curves on Surfaces
IEEE Computer Graphics and Applications
Lighting controls for synthetic images
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
An interactive graphics environment for architectural energy simulation
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Surface curvature analysis using color
VIS '92 Proceedings of the 3rd conference on Visualization '92
Designing fair curves using monotone curvature pieces
Computer Aided Geometric Design
Cycle shading for the assessment and visualization of shape in one and two codimensions
GI '06 Proceedings of Graphics Interface 2006
Visualization of Complex Automotive Data: A Tutorial
IEEE Computer Graphics and Applications
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In developing a mathematical representation for a surface, designers currently must use line drawing graphics to examine the curvature of a line in a plane, a two-dimensional analysis. By combining a result from differential geometry with the use of color raster graphics, the method described in this paper provides a means for the designer to examine surface curvature, a three-dimensional analysis. In particular, a formulation for the Gaussian and average curvatures is given and it is shown how these indicate the presence or absence of protrusions, hollows, etc. in a surface, i.e., how, where, and by how much the surface curves. Showing a fourth variable, curvature in this case, over a three-dimensional surface is difficult, if not impossible with traditional line drawing computer graphics. The method described solves this problem by using color as a fourth dimension. Examples are given, including both known shapes (torus) and automotive parts (hood, fender).