Loop detection in surface patch intersections
Computer Aided Geometric Design
Intersection of arbitrary surfaces
Computer-Aided Design
Computer Aided Geometric Design
Improved test for closed loops in surface intersections
Computer-Aided Design
A marching method for parametric surface/surface intersection
Computer Aided Geometric Design
On determining start points for a surface/surface intersection algorithm
Computer Aided Geometric Design
Marching along surface/surface intersection curves with an adaptive step length
Computer Aided Geometric Design
An efficient surface intersection algorithm based on lower-dimensional formulation
ACM Transactions on Graphics (TOG)
Marching along a regular surface/surface intersection with circular steps
Computer Aided Geometric Design
Exploiting topological and geometric properties for selective subdivision
SCG '85 Proceedings of the first annual symposium on Computational geometry
Differential geometry of intersection curves of two surfaces
Computer Aided Geometric Design
On Estimating Local Geometric Properties of Intersection Curves
SIBGRAPI '00 Proceedings of the 13th Brazilian Symposium on Computer Graphics and Image Processing
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A procedure for tracing completely closed loops given implicitly by the intersection of two regular surfaces, without resorting to the parametric domain subdivisions or resulting in arc overlapping, is presented. Our primary hypothesis is that the rotation index, a global geometrical property, may be a useful complementary tool to the local differential geometrical properties for improving the efficiency of the well-known marching-based surface-surface intersection algorithms. To validate this hypothesis, we devised a novel approach for incrementally computing the rotation index of a closed plane curve given implicitly while the curve is traced. Moreover, we also proposed its integration in a marching procedure that employs adaptative circular steps.