Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Solid shape
Interval analysis for computer graphics
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Computer graphics (2nd ed.)
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Real-time nonphotorealistic rendering
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Efficient perspective-accurate silhouette computation
SCG '99 Proceedings of the fifteenth annual symposium on Computational geometry
Visual motion of curves and surfaces
Visual motion of curves and surfaces
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Contour generators of evolving implicit surfaces
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Sketching, scaffolding, and inking: a visual history for interactive 3D modeling
Proceedings of the 5th international symposium on Non-photorealistic animation and rendering
Clip Art Rendering of Smooth Isosurfaces
IEEE Transactions on Visualization and Computer Graphics
A few good samples: shape & tone depiction for Hermite RBF implicits
NPAR '10 Proceedings of the 8th International Symposium on Non-Photorealistic Animation and Rendering
Extended papers from NPAR 2010: Shape and tone depiction for implicit surfaces
Computers and Graphics
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The contour generator is an important visibility feature of a smooth object seen under parallel projection. It is the curve on the surface which seperates front-facing from back-facing regions. The apparent contour is the projection of the contour generator onto a plane perpendicular to the view direction. Both curves play an important role in computer graphics.Our goal is to obtain fast and robust algorithms that compute the contour generator with a guarantee of topological correctness. To this end, we first study the singularities of the contour generator and apparent contour for both generic views and generic time-dependent projections, for example, when the surface is rotated or deformed. The singularities indicate when components of the contour generator merge or split as time evolves.We present an algorithm to compute an initial contour generator by using a dynamic step size. An interval test guarantees the topological correctness. This initial contour generator can thus be maintained under a time-dependent projection by examining its singularities.