Title
Digital Curvatures Applied to 3D Object Analysis and Recognition: A Case Study
Abstract
In this paper, we propose using curvatures in digital space for 3D object analysis and recognition. Since direct adjacency has only six types of digital surface points in local configurations, it is easy to determine and classify the discrete curvatures for every point on the boundary of a 3D object. Unlike the boundary simplicial decomposition (triangulation), the curvature can take any real value. It sometimes makes difficulties to find a right value for threshold. This paper focuses on the global properties of categorizing curvatures for small regions. We use both digital Gaussian curvatures and digital mean curvatures to 3D shapes. This paper proposes a multi-scale method for 3D object analysis and a vector method for 3D similarity classification. We use these methods for face recognition and shape classification. We have found that the Gaussian curvatures mainly describe the global features and average characteristics such as the five regions of a human face. However, mean curvatures can be used to find local features and extreme points such as nose in 3D facial data.
Year
DOI
Venue
2012
10.1007/978-3-642-34732-0_4
international workshop on combinatorial image analysis
Keywords
DocType
Volume
face recognition,computational geometry,mean curvature,gaussian curvature,extreme point,discrete mathematics
Conference
abs/0910.4
Citations 
PageRank 
References 
1
0.40
15
Authors
2
Name
Order
Citations
PageRank
Li Chen1778.25
Soma Biswas240928.08