Full Text:   <3162>

CLC number: TP391

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 2018-11-27

Cited: 0

Clicked: 6988

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Pan-pan Mu

https://orcid.org/0000-0001-9224-662X

-   Go to

Article info.
Open peer comments

Frontiers of Information Technology & Electronic Engineering  2018 Vol.19 No.11 P.1397-1408

http://doi.org/10.1631/FITEE.1601764


Image-based 3D model retrieval using manifold learning


Author(s):  Pan-pan Mu, San-yuan Zhang, Yin Zhang, Xiu-zi Ye, Xiang Pan

Affiliation(s):  College of Computer Science and Technology, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   mupanpan0927@zju.edu.cn

Key Words:  Model retrieval, Euclidean space, Riemannian manifold


Pan-pan Mu, San-yuan Zhang, Yin Zhang, Xiu-zi Ye, Xiang Pan. Image-based 3D model retrieval using manifold learning[J]. Frontiers of Information Technology & Electronic Engineering, 2018, 19(11): 1397-1408.

@article{title="Image-based 3D model retrieval using manifold learning",
author="Pan-pan Mu, San-yuan Zhang, Yin Zhang, Xiu-zi Ye, Xiang Pan",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="19",
number="11",
pages="1397-1408",
year="2018",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1601764"
}

%0 Journal Article
%T Image-based 3D model retrieval using manifold learning
%A Pan-pan Mu
%A San-yuan Zhang
%A Yin Zhang
%A Xiu-zi Ye
%A Xiang Pan
%J Frontiers of Information Technology & Electronic Engineering
%V 19
%N 11
%P 1397-1408
%@ 2095-9184
%D 2018
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1601764

TY - JOUR
T1 - Image-based 3D model retrieval using manifold learning
A1 - Pan-pan Mu
A1 - San-yuan Zhang
A1 - Yin Zhang
A1 - Xiu-zi Ye
A1 - Xiang Pan
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 19
IS - 11
SP - 1397
EP - 1408
%@ 2095-9184
Y1 - 2018
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1601764


Abstract: 
We propose a new framework for image-based three-dimensional (3D) model retrieval. We first model the query image as a Euclidean point. Then we model all projected views of a 3D model as a symmetric positive definite (SPD) matrix, which is a point on a riemannian manifold. Thus, the image-based 3D model retrieval is reduced to a problem of Euclid-to-Riemann metric learning. To solve this heterogeneous matching problem, we map the euclidean space and SPD riemannian manifold to the same high-dimensional hilbert space, thus shrinking the great gap between them. Finally, we design an optimization algorithm to learn a metric in this hilbert space using a kernel trick. Any new image descriptors, such as the features from deep learning, can be easily embedded in our framework. Experimental results show the advantages of our approach over the state-of-the-art methods for image-based 3D model retrieval.

利用流形学习进行基于图像的三维模型检索

摘要:提出一种基于图像的三维模型检索新框架。把查询的图像建模为欧氏空间的一个点,把三维模型所有投影视图建模为一个对称正定矩阵,并视该对称正定矩阵为黎曼流形上的一个点。于是,基于图像的三维模型检索简化为欧氏空间到黎曼流形上的度量学习。为解决异质匹配问题,把欧式空间和对称正定矩阵黎曼空间映射到同一个高维希尔伯特空间,极大缩小彼此之间语义鸿沟。最后,使用核方法设计一个优化算法学习映射。任何新图像描述符,比如深度学习特征描述符,可以很容易嵌入该框架。实验结果表明,该方法相较目前最新基于图像的三维模型检索方法有一定优势。

关键词:模型检索;欧式空间;黎曼流形;希尔伯特空间;度量学习

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1]Bai S, Bai X, Zhou Z, et al., 2016. GIFT: a real-time and scalable 3D shape search engine. 16th IEEE Conf on Computer Vision and Pattern Recognition, p.5023-5032.

[2]Bai X, Bai S, Zhu Z, et al., 2015. 3D shape matching via two layer coding. IEEE Trans Patt Anal Mach Intell, 37(12): 2361-2373.

[3]Cevikalp H, Triggs B, 2010. Face recognition based on image sets. IEEE Society Conf on Computer Vision and Pattern Recognition, p.2567-2573.

[4]Chatfield K, Simonyan K, Vedaldi A, et al., 2014. Return of the devil in the details: delving deep into convolutional nets. p.1-11. https://arxiv.org/abs/1405.3531

[5]Chen DY, Tian XP, Shen YT, et al., 2003. On visual similarity based 3D model retrieval. Comput Graph Forum, 22(3): 223-232.

[6]Chien JT, Wu CC, 2002. Discriminant waveletfaces and nearest feature classifiers for face recognition. IEEE Trans Patt Anal Mach Intell, 24(12):1644-1649.

[7]Eitz M, Richter R, Boubekeur T, et al., 2012. Sketch-based shape retrieval. ACM Trans Graph, 31(4):31-40.

[8]Furuya T, Ohbuchi R, 2013. Ranking on cross-domain manifold for sketch-based 3D model retrieval. Int Conf on Cyberworlds, p.274-281.

[9]Hamm J, Lee DD, 2008. Grassmann discriminant analysis: a unifying view on subspace-based learning. Proc 25th Int Conf on Machine Learning, p.376-383.

[10]Hamm J, Lee DD, 2009. Extended Grassmann kernels for subspace-based learning. Advances in Neural Information Processing Systems, p.601-608.

[11]Huang Z, Wang R, Shan S, et al., 2014. Learning Euclidean- to-Riemannian metric for point-to-set classification. IEEE Conf on Computer Vision and Pattern Recognition, p.1677-1684.

[12]Jayasumana S, Hartley R, Salzmann M, et al., 2013. Kernel methods on the Riemannian manifold of symmetric positive definite matrices. IEEE Conf on Computer Vision and Pattern Recognition, p.73-80.

[13]Kazhdan M, Funkhouser T, Rusinkiewicz S, 2003. Rotation invariant spherical harmonic representation of 3D shape descriptors. Proc Eurographics/ACM SIGGRAPH Symp on Geometry Processing, p.156-164.

[14]Kim T, Kittler J, Cipolla R, 2007. Discriminative learning and recognition of image set classes using canonical correlations. IEEE Trans Patt Anal Mach Intell, 29(6): 1005-1018.

[15]Li B, Lu Y, Godil A, et al., 2014. A comparison of methods for sketch-based 3D shape retrieval. Comput Vis Image Underst, 119:57-80.

[16]Lian Z, Godil A, Sun X, et al., 2013. CM-BOF: visual similarity-based 3D shape retrieval using clock matching and bag-of-features. Mach Vis Appl, 24(8):1685-1704.

[17]Mu P, Zhang S, Ye X, 2017. A metric learning method for image-based 3D shape retrieval. Proc Int Conf on Data Mining, Communications and Information Technology, Article 17.

[18]Ohbuchi R, Osada K, Furuya T, et al., 2008. Salient local visual features for shape-based 3D model retrieval. IEEE Int Conf on Shape Modeling and Applications, p.93-102.

[19]Papadakis P, Pratikakis I, Theoharis T, et al., 2010. Panorama: a 3D shape descriptor based on panoramic views for unsupervised 3D object retrieval. Int J Comput Vis, 89(2-3):177-192.

[20]Saavedra JM, Bustos B, Schreck T, et al., 2012. Sketch-based 3D model retrieval using keyshapes for global and local representation. Proc 5th Eurographics Conf on 3D Object Retrieval, p.47-50.

[21]Shilane P, Min P, Kazhdan M, et al., 2004. The Princeton Shape Benchmark. Proc Shape Modeling Applications, p.167-178.

[22]Sousa P, Fonseca MJ, 2010. Sketch-based retrieval of drawings using spatial proximity. J Vis Lang Comput, 21(2):69-80.

[23]Su H, Maji S, Kalogerakis E, et al., 2015. Multi-view convolutional neural networks for 3D shape recognition. IEEE Int Conf on Computer Vision, p.945-953.

[24]Tabia H, Laga H, Picard D, et al., 2014. Covariance descriptors for 3D shape matching and retrieval. IEEE Conf on Computer Vision and Pattern Recognition, p.4185-4192.

[25]Vemulapalli R, Pillai JK, Chellappa R, 2013. Kernel learning for extrinsic classification of manifold features. IEEE Conf on Computer Vision and Pattern Recognition, p.1782-1789.

[26]Vincent P, Bengio Y, 2001. K-local hyperplane and convex distance nearest neighbor algorithms. Proc 14th Int Conf on Neural Information Processing Systems: Natural and Synthetic, p.985-992.

[27]Wang F, Kang L, Li Y, 2015. Sketch-based 3D shape retrieval using convolutional neural networks. IEEE Conf on Computer Vision and Pattern Recognition, p.1875-1883.

[28]Wang R, Guo H, Davis LS, et al., 2012. Covariance discriminative learning: a natural and efficient approach to image set classification. IEEE Conf on Computer Vision and Pattern Recognition, p.2496-2503.

[29]Wen Y, Zhang K, Li Z, et al., 2016. A discriminative feature learning approach for deep face recognition. European Conf on Computer Vision, p.499-515.

[30]Wu Z, Song S, Khosla A, et al., 2015. 3D shapenets: a deep representation for volumetric shapes. IEEE Conf on Computer Vision and Pattern Recognition, p.1912-1920.

[31]Yamaguchi O, Fukui K, Maeda K, 1998. Face recognition using temporal image sequence. Proc 3rd IEEE Int Conf on Automatic Face and Gesture Recognition, p.318-323.

[32]Zhu P, Zhang L, Zuo W, et al., 2013. From point to set: extend the learning of distance metrics. IEEE Int Conf on Computer Vision, p.2664-2671.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE