Title
A global clustering approach to point cloud simplification with a specified data reduction ratio
Abstract
This paper studies the problem of point cloud simplification by searching for a subset of the original input data set according to a specified data reduction ratio (desired number of points). The unique feature of the proposed approach is that it aims at minimizing the geometric deviation between the input and simplified data sets. The underlying simplification principle is based on clustering of the input data set. The cluster representation essentially partitions the input data set into a fixed number of point clusters and each cluster is represented by a single representative point. The set of the representatives is then considered as the simplified data set and the resulting geometric deviation is evaluated against the input data set on a cluster-by-cluster basis. Due to the fact that the change to a representative selection only affects the configuration of a few neighboring clusters, an efficient scheme is employed to update the overall geometric deviation during the search process. The search involves two interrelated steps. It first focuses on a good layout of the clusters and then on fine tuning the local composition of each cluster. The effectiveness and performance of the proposed approach are validated and illustrated through case studies using synthetic as well as practical data sets.
Year
DOI
Venue
2008
10.1016/j.cad.2007.10.013
Computer-Aided Design
Keywords
Field
DocType
cluster representation,practical data set,global clustering approach,neighboring cluster,input data,specified data reduction ratio,simplification,data reduction,geometric deviation,original input data,point cloud data,clustering,overall geometric deviation,cloud simplification,point cloud
Data mining,Cluster (physics),Data set,Mathematical optimization,Fine-tuning,Point cloud,Cluster analysis,Mathematics,Data reduction
Journal
Volume
Issue
ISSN
40
3
Computer-Aided Design
Citations 
PageRank 
References 
13
0.60
14
Authors
2
Name
Order
Citations
PageRank
Hao Song1140.95
Hsi-yung Feng215215.49