Abstract
A novel moment, called 3D polar-radius-invariant-moment, is proposed for the 3D object recognition and classification. Some properties of these new moments including the invariance on translation, scale and rotation transforms are studied and proved. Then structure moment invariants are given to distinguish complicated similar shapes. Examples are presented to illustrate the performance and invariance of these moments. With the help of these moment invariants, the 3D models are distinguished accurately.
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Paquet, E., Rioux, M.: A content-based search engine for VRML databases. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Santa Barbara, California, USA, pp. 541–546 (1998)
Suzuki, M., Kato, T., Otsu, N.: A similarity retrieval of 3d polygon models using rotation invariant shape descriptors. In: Proceedings of IEEE International Conference on Systems, Man, and Cybernetics, Nashville, Tennessee, USA, pp. 2946–2952 (2000)
Yu Bin, Y., Hui, L., Qing, Z.: Content-Based 3D Model Retrieval: A Survey. Chinese Journal of Computers, China 27(10) (October 2004)
Vranic, D., Saupe, D.: 3d model retrieval. In: Proceedings of Spring Conference on Computer Graphics, Budmerice, Slovakia, pp. 89–93 (2000)
Tangelder, J., VeltKamp, R.: Polyhedral model retrieval using weight point sets. International Journal of Image and Graphics 3(1), 1–21 (2003)
Zhang, D., Hebert, M.: Harmonic maps and their applications in surface matching. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Fort Collins, Colorado, USA, pp. 2524–2530 (1999)
Zhang, D., Hebert, M.: Harmonic shape images: A 3d freeform surface representation and its application in surface matching. In: Proceedings of International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition, Sophia Antipolis, France, pp. 30–43 (1999)
Vranic, D., Saupe, D.: Description of 3d-shape using a complex function on the sphere. In: Proceedings of IEEE International Conference on Multimedia and Expo, Lausanne, Switzerland, pp. 177–180 (2002)
Vranic, D., Saupe, D.: 3d shape Descriptor based on 3d Fourier transform. In: Proceedings of IEEE EURASIP Conference on Digital Signal Processing for Multimedia Communications and Services, Budapest, Hungary, pp. 271–274 (2001)
Hilaga, M., Shinagawa, Y., Kohmura, T., Kunii, T.: Topology matching for fully automatic similarity estimation of 3d shapes. In: Proceedings of ACM SIGGRAPH, Los Angels, USA, pp. 203–212 (2001)
Bardinet, E., Vidal, S., Arroyo, S., Malandain, G., Capilla, N.: Structural object matching. Department of Computer Science and AI, University of Granada, Spain, Technical Report DEC-SAI-000303 (2000)
Funkhouser, T., Min, P., Kazhdan, M., et al.: A search engine for 3d models. ACM Transactions on Graphics 22(1), 83–105 (2003)
Cyr, C., Kimia, B.: 3d object recognition using shape similarity-based aspect graph. In: Proceedings of IEEE International Conference on Computer Vision, Vancouver, Canada, pp. 254–261 (2001)
Heczko, M., Keim, D., Saupe, D., Vranic, D.: A method for similarity search of 3d objects. In: Proceedings of German Database Conference (BTW), Oldenburg,Germany, pp. 384–401 (2001)
Zhang, D., Hebert, M.: Harmonic maps and their applications in surface matching. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Fort Collins, Colorado, USA, pp. 2524–2530 (1999)
Little, J.: Extended Gaussian images, mixed volumes, shape reconstruction. In: Proceedings of Annual Symposium on Computational Geometry, Baltimore, USA, pp. 15–23 (1985)
Delingette, H., Hebert, H., Ikeuchi, K.: A spherical representation for the recognition of curved objects. In: Proceedings of IEEE International Conference on Computer Vision, Berlin, Germany, pp. 103–112 (1993)
Johnson, A., Hebert, M.: Using spin-images for efficient multiple model recognition in cluttered 3d scenes. IEEE Transaction on Pattern Analysis and Machine Intelligence 21(5), 433–449 (1999)
Saupe, D., Vranic, D.: 3d model retrieval with spherical harmonics and moments. In: Proceedings of Germany DAGM Conference, Munich, Germany, pp. 392–397 (2001)
Elad, M., Milanfar, P., Golub, G.: Shape from Moments - An Estimation Theory Perspective. The IEEE Trans. on Signal Processing, 1814–1829 (August 2002)
Novotni, M.: 3D Zernike Descriptors for Content Based Shape Retrieval. In: Proceedings of The 8th ACM Symposium on Solid Modeling and Applications, June 2003, pp. 216–225 (2003)
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Li, Z., Zhang, Y., Hou, K., Li, H. (2005). 3D Polar-Radius Invariant Moments and Structure Moment Invariants. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539117_70
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DOI: https://doi.org/10.1007/11539117_70
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28325-6
Online ISBN: 978-3-540-31858-3
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