Solid shape
Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Illumination for computer generated pictures
Communications of the ACM
Normal bounds for subdivision-surface interference detection
Proceedings of the conference on Visualization '01
Conveying the 3D Shape of Smoothly Curving Transparent Surfaces via Texture
IEEE Transactions on Visualization and Computer Graphics
Cycle shading for the assessment and visualization of shape in one and two codimensions
GI '06 Proceedings of Graphics Interface 2006
Polyhedral gauss maps and curvature characterisation of triangle meshes
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
A mathematica package for computing and visualizing the gauss map of surfaces
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
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The Gauss map projects surface normals to a unit sphere, providing a powerful visualization of the geometry of a graphical object. It can be used to predict visual events caused by changes in lighting, shading, and camera control. We present an interactive technique for portraying the Gauss map of polygonal models, mapping surface normals and the magnitudes of surface curvature using a spherical projection. Unlike other visualizations of surface curvature, we create our Gauss map directly from polygonal meshes without requiring any complex intermediate calculations of differential geometry. For anything other than simple shapes, surface information is densely mapped into the Gaussian normal image, inviting the use of visualization techniques to amplify and emphasize details hidden within the wealth of data. We present the use of interactive visualization tools such as brushing and linking to explore the surface properties of solid shapes. The Gauss map is shown to be simple to compute, easy to view dynamically, and effective at portraying important features of polygonal models.