Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
3D Shape Histograms for Similarity Search and Classification in Spatial Databases
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Matching 3D Models with Shape Distributions
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Mathematics for 3D Game Programming and Computer Graphics, Second Edition
Mathematics for 3D Game Programming and Computer Graphics, Second Edition
A Reflective Symmetry Descriptor for 3D Models
Algorithmica
SMI '04 Proceedings of the Shape Modeling International 2004
Toward an efficient triangle-based spherical harmonics representation of 3D objects
Computer Aided Geometric Design
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part III
Expression-invariant 3D face recognition
AVBPA'03 Proceedings of the 4th international conference on Audio- and video-based biometric person authentication
DELOS'07 Proceedings of the 1st international conference on Digital libraries: research and development
MPEG-7 visual shape descriptors
IEEE Transactions on Circuits and Systems for Video Technology
A new algorithm for 3D shape recognition by means of the 2D point distance histogram
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part II
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In the paper a new 3D shape representation algorithm is proposed -- the Polar-Fourier 3D Shape Descriptor. Similarly to the Light Field Descriptor, the proposed method is based on rendering several two-dimensional projections of a 3D model, taken from various points of view. However, the proposed descriptor uses the 2D Polar-Fourier transform for obtained projections This enables the new descriptor to be more efficient in the recognition or retrieval of 3D models. In order to evaluate the performance of the algorithm, it was experimentally compared with four other popular approaches -- the Extended Gaussian Image, Shape Distributions, Shape Histogram and Light Field Descriptor -- in the problem of 3D shape retrieval. The achieved results have shown that the new method outperforms the other four explored ones. The presented 3D shape descriptor can be used in representation, recognition and retrieval of 3D models.