Abstract | ||
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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 |
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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 Liu | 1 | 116 | 22.97 |
Jiantao Pu | 2 | 277 | 23.12 |
Guyu Xin | 3 | 24 | 2.01 |
Hongbin Zha | 4 | 2206 | 183.36 |
Weibin Liu | 5 | 71 | 19.97 |
Yusuke Uehara | 6 | 62 | 8.15 |