Extracting Geometric Structures in Images with Delaunay Point Processes (English)

In: IEEE Transactions on Pattern Analysis and Machine Intelligence   ;  42 ,  4  ;  837-850  ;  2020

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We introduce Delaunay Point Processes, a framework for the extraction of geometric structures from images. Our approach simultaneously locates and groups geometric primitives (line segments, triangles) to form extended structures (line networks, polygons) for a variety of image analysis tasks. Similarly to traditional point processes, our approach uses Markov Chain Monte Carlo to minimize an energy that balances fidelity to the input image data with geometric priors on the output structures. However, while existing point processes struggle to model structures composed of inter-connected components, we propose to embed the point process into a Delaunay triangulation, which provides high-quality connectivity by construction. We further leverage key properties of the Delaunay triangulation to devise a fast Markov Chain Monte Carlo sampler. We demonstrate the flexibility of our approach on a variety of applications, including line network extraction, object contouring, and mesh-based image compression.

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    Extracting Geometric Structures in Images with Delaunay Point Processes
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IEEE Transactions on Pattern Analysis and Machine Intelligence - Cover
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Egozi, Amir / Keller, Yosi / Guterman, Hugo | 2013
18
Document Image Analysis - Contour Line and Geographic Feature Extraction from USGS Color Topographical Paper Maps
Khotanzad, A. / Zink, E. | 2003
18
Contour line and geographic feature extraction from USGS color topographical paper maps
Khotanzad, A. / Zink, E. | 2003
18
Anomaly Detection and Localization in Crowded Scenes
Li, Weixin / Mahadevan, Vijay / Vasconcelos, Nuno | 2014
18
Adaptive Visual Tracking with Minimum Uncertainty Gap Estimation
Junseok Kwon, / Kyoung Mu Lee, | 2017
18
Recognition of Distorted Patterns Using the Viterbi Algorithm
Tanaka, Hatsukazu / Hirakawa, Yutaka / Kaneku, Seiko | 1982
19
A highly robust estimator through partially likelihood function modeling and its application in computer vision
Zhuang, X. / Wang, T. / Zhang, P. | 1992
19
Biometrics - Fingerprint Warping Using Ridge Curve Correspondence
Ross, A. / Dass, S.C. / Jain, A.K. | 2006
19
Blind Separation of Superimposed Moving Images Using Image Statistics
Kun Gai, / Zhenwei Shi, / Changshui Zhang, | 2012
19
The image foresting transform: theory, algorithms, and applications
Falcao, A.X. / Stolfi, J. / de Alencar Lotufo, R. | 2004
19
Fingerprint Warping Using Ridge Curve Correspondence
Ross, A. / Dass, S. C. / Jain, A. K. | 2006
19
Fingerprint warping using ridge curve correspondences
Ross, A. / Dass, S.C. / Jain, A.K. | 2006
19
Generic object recognition: building and matching coarse descriptions from line drawings
Bergevin, R. / Levine, M.D. | 1993
19
The radiometry of multiple images
Luong, Q.-T. / Fua, P. / Leclerc, Y.G. | 2002
19
PAPERS - Computer Vision and Image Analysis - The Radiometry of Multiple Images
Luong, O.-T. / Fua, R. / Leclerc, Y.G. | 2002
19
Image Transforms - The Image Foresting Transform: Theory, Algorithms, and Applications
Faicao, A.X. / Stolfi, J. / Alencar Lotufo, R.de | 2004
20
Saliency-Aware Video Object Segmentation
Wenguan Wang, / Jianbing Shen, / Ruigang Yang, / Porikli, Fatih | 2018
20
Color Homography: Theory and Applications
Finlayson, Graham / Gong, Han / Fisher, Robert B. | 2019
20
A Description Method of Handprinted Chinese Characters
Agui, Takeshi / Nagahashi, Hiroshi | 1979
20
A Separable Median Filter for Image Noise Smoothing
Narendra, Patrenahalli M. | 1981
22
PAPERS - Feature Space Reduction and Visualization - A Unified Model for Probabilistic Principal Surfaces
Chang, K.-y. / Ghosh, J. | 2001
22
A unified model for probabilistic principal surfaces
Kui-Yu Chang, / Ghosh, J. | 2001
23
Robust and efficient detection of salient convex groups
Jacobs, D.W. | 1996
23
Artificial neural networks for document analysis and recognition
Marinai, S. / Gori, M. / Soda, G. | 2005
23
Neural network-based face detection
Rowley, H.A. / Baluja, S. / Kanade, T. | 1998
24
SHORT PAPERS - Computer Vision and Image Analysis - On Degeneracy of Linear Reconstruction From Three Views: Linear Line Complex and Applications
Stein, G.P. / Shashua, A. | 1999
24
Gibbs random fields, cooccurrences, and texture modeling
Elfadel, I.M. / Picard, R.W. | 1994
25
Markov Random Field Texture Models
Cross, George R. / Jain, Anil K. | 1983
25
Mixture of Spherical Distributions for Single-View Relighting
Hara, K. / Nishino, K. / Ikeuchi, K. | 2008
25
The Use of Tree Derivatives and a Sample Support Parameter for Inferring Tree Systems
Levine, Barry | 1982
25
Illumination - Mixture of Spherical Distributions for Single-View Relighting
Hara, K. / Nishino, K. / Ikeuchi, K. | 2008
25
An Intrinsic Dimensionality Estimator from Near-Neighbor Information
Pettis, Karl W. / Bailey, Thomas A. / Jain, Anil K. / Dubes, Richard C. | 1979
26
Uniqueness of the Gaussian Kernel for Scale-Space Filtering
Babaud, Jean / Witkin, Andrew P. / Baudin, Michel / Duda, Richard O. | 1986
27
Human Pose Tracking in Monocular Sequence Using Multilevel Structured Models
Mun Wai Lee, / Nevatia, R. | 2009
27
Direct gray-scale minutiae detection in fingerprints
Maio, D. / Maltoni, D. | 1997
27
On a Method of Binary-Picture Representation and Its Application to Data Compression
Kawaguchi, Eiji / Endo, Tsutomu | 1980
27
Cooperative Training of Descriptor and Generator Networks
Xie, Jianwen / Lu, Yang / Gao, Ruiqi / Zhu, Song-Chun / Wu, Ying Nian | 2020
27
Curvature and Tangential Deflection of Discrete Arcs: A Theory Based on the Commutator of Scatter Matrix Pairs and Its Application to Vertex Detection in Planar Shape Data
Anderson, Ian M. / Bezdek, James C. | 1984
27
Face and Gesture - Human Pose Tracking in Monocular Sequence Using Multilevel Structured Models
Lee, M. / Nevatia, R. | 2009
28
Joint Optimization of Word Alignment and Epenthesis Generation for Chinese to Taiwanese Sign Synthesis
Yu-Hsien Chiu, / Chung-Hsien Wu, / Hung-Yu Su, / Chih-Jen Cheng, | 2007
28
Affinity Learning with Diffusion on Tensor Product Graph
Yang, Xingwei / Prasad, Lakshman / Latecki, Longin Jan | 2013
28
Document Image Analysis - Joint Optimization of Word Alignment and Epenthesis Generation for Chinese to Taiwanese Sign Synthesis
Chiu, Y.-H. / Wu, C.-H. / Su, H.-Y. / Cheng, C.-J. | 2007
28
Determination of camera location from 2-D to 3-D line and point correspondences
Liu, Y. / Huang, T.S. / Faugeras, O.D. | 1990
28
Convex Discriminative Multitask Clustering
Xiao-Lei Zhang, | 2015
29
Parallel Image Processing by Memory-Augmented Cellular Automata
Dyer, Charles R. / Rosenfeld, Azriel | 1981
29
Toward a Fundamental Theory of Optimal Feature Selection: Part II-Implementation and Computational Complexit
Morgera, Salvatore D. | 1987
30
Residual analysis for feature detection
Chen, M.-H. / Lee, D. / Pavlidis, T. | 1991
30
A Boosting Framework for Visuality-Preserving Distance Metric Learning and Its Application to Medical Image Retrieval
Liu Yang, / Rong Jin, / Mummert, L. / Sukthankar, R. / Goode, A. / Bin Zheng, / Hoi, S.C.H. / Satyanarayanan, M. | 2010
30
Bilayer Segmentation of Webcam Videos Using Tree-Based Classifiers
Pei Yin, / Criminisi, A / Winn, J / Essa, I A | 2011
30
Invariant Features - Affine Invariant Features from the Trace Transform
Petrou, M. / Kadyrov, A. | 2004
30
An Unified Multiscale Framework for Planar, Surface, and Curve Skeletonization
Jalba, Andrei C. / Sobiecki, Andre / Telea, Alexandru C. | 2016
30
Affine invariant features from the trace transform
Petrou, M. / Kadyrov, A. | 2004
31
Threshold decomposition of gray-scale morphology into binary morphology
Shih, F.Y. / Mitchell, O.R. | 1989
31
Automatic solder joint inspection
Bartlett, S.L. / Besl, P.J. / Cole, C.L. / Jain, R. / Mukherjee, D. / Skifstad, K.D. | 1988
31
Fitting curves and surfaces with constrained implicit polynomials
Keren, D. / Gotsman, C. | 1999
31
PAPERS - Computer Vision and Image Analysis - Fitting Curves and Surfaces With Constrained Implicit Polynomials
Keren, D. / Gotsman, C. | 1999
31
Matching 2.5D face scans to 3D models
Xiaoguang Lu, / Jain, A.K. / Colbry, D. | 2006
31
Face and Gesture - Matching 2.5D Face Scans to 3D Models
Lu, X. / Jain, A.K. / Colbry, D. | 2006
32
Suboptimal minimum cluster volume cover-based method for measuring fractal dimension
Tolle, C.R. / McJunkin, T.R. / Gorsich, D.J. | 2003
32
An Efficient Joint Formulation for Bayesian Face Verification
Dong Chen, / Xudong Cao, / Wipf, David / Fang Wen, / Jian Sun, | 2017
32
Fractals - Suboptimal Minimum Cluster Volume Cover-Based Method for Measuring Fractal Dimension
Tolle, C.R. / McJunkin, T.R. / Gorsich, D.J. | 2003
33
Asymmetric Distances for Binary Embeddings
Gordo, Albert / Perronnin, Florent / Yunchao Gong, / Lazebnik, Svetlana | 2014
33
Building Development Monitoring in Multitemporal Remotely Sensed Image Pairs with Stochastic Birth-Death Dynamics
Benedek, C. / Descombes, X. / Zerubia, J. | 2012
33
A General Decoupled Learning Framework for Parameterized Image Operators
Fan, Qingnan / Chen, Dongdong / Yuan, Lu / Hua, Gang / Yu, Nenghai / Chen, Baoquan | 2021
34
PAPERS - Face and Gesture Recognition - Detecting Faces in Images: A Survey
Yang, M.-H. / Kriegman, D.J. / Ahuja, N. | 2002
34
Invariants of six points and projective reconstruction from three uncalibrated images
Long Quan, | 1995
34
CODE: Coherence Based Decision Boundaries for Feature Correspondence
Wen-Yan Lin, / Fan Wang, / Ming-Ming Cheng, / Sai-Kit Yeung, / Torr, Philip H. S. / Do, Minh N. / Jiangbo Lu, | 2018
34
Detecting faces in images: a survey
Ming-Hsuan Yang, / Kriegman, D.J. / Ahuja, N. | 2002
34
CROification: Accurate Kernel Classification with the Efficiency of Sparse Linear SVM
Kafai, Mehran / Eshghi, Kave | 2019
34
Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes
Mokhtarian, Farzin / Mackworth, Alan | 1986
35
Approximations of Bayes and Minimax Risks and the Least Favorable Distribution
Yablon, Marvin / Chu, John T. | 1982
35
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
Lane, Jeffrey M. / Riesenfeld, Richard F. | 1980
35
A Three-Dimensional Vision by Off-Shelf System with Multi-Cameras
Luh, J. Y. S. / Klaasen, John A. | 1985
36
Groups of Adjacent Contour Segments for Object Detection
Ferrari, V. / Fevrier, L. / Jurie, F. / Schmid, C. | 2008
36
Tensor voting for image correction by global and local intensity alignment
Jia, J. / Chi-Keung Tang, | 2005
36
A two-stage algorithm for discontinuity-preserving surface reconstruction
Sinha, S.S. / Schunck, B.G. | 1992
37
Unbiased Estimation and Statistical Analysis of Rigid Motion from Two Views
Kanatani, K. | 1993
37
Unbiased estimation and statistical analysis of 3-D rigid motion from two views
Kanatani, K. | 1993
37
An Optimal Frequency Domain Filter for Edge Detection in Digital Pictures
Shanmugam, K. Sam / Dickey, Fred M. / Green, James A. | 1979
38
Describing complicated objects by implicit polynomials
Keren, D. / Cooper, D. / Subrahmonia, J. | 1994
38
Scale-space properties of the multiscale morphological dilation-erosion
Jackway, P.T. / Deriche, M. | 1996
38
PAPERS - Twenty Years of Document Image Analysis in PAMI
Nagy, G. | 2000
38
Morphological shape decomposition
Pitas, I. / Venetsanopoulos, A.N. | 1990
38
Twenty years of document image analysis in PAMI
Nagy, G. | 2000
39
Modeling and Segmentation of Noisy and Textured Images Using Gibbs Random Fields
Derin, Haluk / Elliott, Howard | 1987
39
A Survey of Affect Recognition Methods: Audio, Visual, and Spontaneous Expressions
Zhihong Zeng, / Pantic, M. / Roisman, G.I. / Huang, T.S. | 2009
39
Example-based learning for view-based human face detection
Sung, K.-K. / Poggio, T. | 1998
39
Discriminative Multimanifold Analysis for Face Recognition from a Single Training Sample per Person
Lu, Jiwen / Tan, Yap-Peng / Wang, Gang | 2013
40
Machine Learning - Graph Embedding and Extensions: A General Framework for Dimensionality Reduction
Yan, S. / Xu, D. / Zhang, B. / Zhang, H.-J. / Yang, Q. / Lin, S. | 2007
40
The Effect of Cluster Size, Dimensionality, and the Number of Clusters on Recovery of True Cluster Structure
Milligan, Glenn W. / Soon, S. C. / Sokol, Lisa M. | 1983
40
Graph Embedding and Extensions: A General Framework for Dimensionality Reduction
Shuicheng Yan, / Dong Xu, / Benyu Zhang, / Hong-Jiang Zhang, / Qiang Yang, / Lin, S. | 2007
41
Thermophysical algebraic invariants from infrared imagery for object recognition
Michel, J. / Nandhakumar, N. / Velten, V. | 1997
41
Thermophysical Algebraic Invariants from Infrared Imagry for Object Recognition
Michel, J. / Nandhakumar, N. / Velten, V. | 1997
41
Data Fusion by Matrix Factorization
Zitnik, Marinka / Zupan, Blaz | 2015
41
Boundary Detection in Multidimensions
Udupa, Jayaram K. / Srihari, Sargur N. / Herman, Gabor T. | 1982
41
A Piecewise Linear Approximation Based on a Statistical Model
Wu, Li-De | 1984
41
Robust contour decomposition using a constant curvature criterion
Wuescher, D.M. / Boyer, K.L. | 1991
41
Noah-A Bottom-Up Word Hypothesizer for Large-Vocabulary Speech Understanding Systems
Smith, A. Richard / Lee D. Erman, | 1981
42
Adaptive Nonlocal Filtering.' A Fast Alternative to Anisotropic Diffusion for Image Enhancement
Fischl, B. / Schwartz, E. L. | 1999
42
A fast and accurate face detector based on neural networks
Feraund, R. / Bernier, O.J. / Viallet, J.-E. / Collobert, M. | 2001
42
Image Segmentation and Feature Extraction - A Class of Discrete Multiresolution Random Fields and Its Application to Image Segmentation
Wilson, R. / Li, C.-T. | 2003
42
SHORT PAPERS - Computer Vision and Image Analysis Adaptive Nonlocal Filtering A Fast Alternative to Anisotropic Diffusion for Image Enhancement
Fischl, B. / Schwartz, E.L. | 1999
42
A Class of Discrete Multiresolution Random Fields and Its Application to Image Segmentation
Wilson, R. / Li, C.-T. | 2003
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