New computer methods for global optimization
New computer methods for global optimization
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
Isotopic approximation of implicit curves and surfaces
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Computing contour generators of evolving implicit surfaces
ACM Transactions on Graphics (TOG)
Using NPR to evaluate perceptual shape cues in dynamic environments
Proceedings of the 5th international symposium on Non-photorealistic animation and rendering
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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 regions 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 the apparent contour, for generic views, and for generic time-dependent projections, e.g. 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, using a dynamic step size. An interval test guarantees the topological correctness. This initial contour generator can then be maintained under a time-dependent projection by examining its singularities.