Title
A robust method for shape-based 3D model retrieval
Abstract
Proliferation of 3D models necessitates developing efficient methods for indexing or retrieving the models in a large database. Many previous methods for this purpose defined functions on concentric spheres as approximation of 3D geometry for spherical harmonic transform (SHT). In this paper, we point out that this is not robust as the surface of a model may shift between different shells under perturbation, and multi-layer of surfaces may exist in one shell, making the function definition ambiguous. To solve these problems, we propose a method to characterize 3D shape using delta functions. Then, spherical functions are defined by sampling in the frequency domain of the delta functions for SHT. By doing so, our method can support retrieval with controllable acuity, which benefits wider range of applications and facilitates customization to different users. Experiments have shown that our method is more robust than previous approaches.
Year
DOI
Venue
2004
10.1109/PCCGA.2004.1348328
Pacific Conference on Computer Graphics and Applications
Keywords
Field
DocType
concentric spheres,novel method,different shell,concentric sphere,model retrieval,delta functions,computational geometry,shape-based 3d model retrieval,previous method,controllable acuity,previous approach,image retrieval,harmonic analysis,3d geometry,transforms,delta function,spherical function,efficient method,robust method,different user,spherical harmonic transform,spherical functions,indexation,spherical harmonic,user experience,frequency domain
Frequency domain,Computer vision,Mathematical optimization,Concentric,Computer science,Computational geometry,Spherical harmonics,Search engine indexing,Image retrieval,Harmonic analysis,Sampling (statistics),Artificial intelligence
Conference
ISSN
ISBN
Citations 
1550-4085
0-7695-2234-3
6
PageRank 
References 
Authors
0.66
15
6
Name
Order
Citations
PageRank
Yi Liu111622.97
Jiantao Pu227723.12
Guyu Xin3242.01
Hongbin Zha42206183.36
Weibin Liu57119.97
Yusuke Uehara6628.15