Title
Differentials-based segmentation and parameterization for point-sampled surfaces
Abstract
Efficient parameterization of point-sampled surfaces is a fundamental problem in the field of digital geometry processing. In order to parameterize a given point-sampled surface for minimal distance distortion, a differentials-based segmentation and parameterization approach is proposed in this paper. Our approach partitions the point-sampled geometry based on two criteria: variation of Euclidean distance between sample points, and angular difference between surface differential directions. According to the analysis of normal curvatures for some specified directions, a new projection approach is adopted to estimate the local surface differentials. Then a k-means clustering (k-MC) algorithm is used for partitioning the model into a set of charts based on the estimated local surface attributes. Finally, each chart is parameterized with a statistical method -- multidimensional scaling (MDS) approach, and the parameterization results of all charts form an atlas for compact storage.
Year
DOI
Venue
2007
10.1007/s11390-007-9088-5
J. Comput. Sci. Technol.
Keywords
Field
DocType
new projection approach,segmentation,multidimensional scaling,parameterization result,parameterization,parameterization approach,euclidean distance,k-means clustering,efficient parameterization,estimated local surface attribute,local surface differential,point-sampled geometry,surface differential direction,differentials-based segmentation,computer graphics,point-sampled surface,k means clustering,digital geometry
k-means clustering,Mathematical optimization,Multidimensional scaling,Parametrization,Computer science,Segmentation,Euclidean distance,Algorithm,Real-time computing,Cluster analysis,Distortion,Digital geometry
Journal
Volume
Issue
ISSN
22
5
1860-4749
Citations 
PageRank 
References 
6
0.41
30
Authors
5
Name
Order
Citations
PageRank
Yongwei Miao1777.51
jieqing feng230931.72
Chunxia Xiao346639.83
Qun-Sheng Peng4887.57
A. R. Forrest560.41