The NURBS book
OBBTree: a hierarchical structure for rapid interference detection
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A fast and robust GJK implementation for collision detection of convex objects
Journal of Graphics Tools
Geometric constraint solver using multivariate rational spline functions
Proceedings of the sixth ACM symposium on Solid modeling and applications
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Collision Detection for Interactive Graphics Applications
IEEE Transactions on Visualization and Computer Graphics
Efficient Collision Detection Using Bounding Volume Hierarchies of k-DOPs
IEEE Transactions on Visualization and Computer Graphics
Efficient Distance Computation for Quadratic Curves and Surfaces
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Computing the minimum distance between two Bézier curves
Journal of Computational and Applied Mathematics
Hausdorff and minimal distances between parametric freeforms in R2and R3
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
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We present an efficient and robust method based on the culling approach for computing the minimum distance between two Bezier curves or Bezier surfaces. Our contribution is a novel dynamic subdivision scheme that enables our method to converge faster than previous methods based on binary subdivision.