Title
Computing the Hausdorff distance between NURBS surfaces using numerical iteration on the GPU
Abstract
We present a GPU algorithm for computing the directed Hausdorff distance between two NURBS surfaces. The algorithm is based on sampling of one surface, and performing numerical iterations on the GPU to compute the minimal distance from each sample to the other surface. An error analysis for the Hausdorff distance computations is performed, based on bounds on the NURBS surfaces. We compare a CUDA implementation of our algorithm to existing methods, demonstrating that the new method addresses limitations of previous hierarchical culling methods such as the sensitivity to the position of the inputs.
Year
DOI
Venue
2012
10.1016/j.gmod.2012.05.002
Graphical Models
Keywords
Field
DocType
previous hierarchical culling method,gpu algorithm,hausdorff distance,numerical iteration,nurbs surface,cuda implementation,new method addresses limitation,minimal distance,error analysis,hausdorff distance computation,nurbs
Mathematical optimization,CUDA,Sampling (statistics),Hausdorff distance,Mathematics,Computation
Journal
Volume
Issue
ISSN
74
4
1524-0703
Citations 
PageRank 
References 
6
0.43
20
Authors
3
Name
Order
Citations
PageRank
Iddo Hanniel119712.98
Adarsh Krishnamurthy210712.51
Sara McMains329332.31