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A Partition-of-Unity Based Algorithm for Implicit Surface Reconstruction Using Belief Propagation

Yi-Ling Chen, Shang-Hong Lai
2007 IEEE International Conference on Shape Modeling and Applications 2007 (SMI '07)  
A new graph optimization scheme based on the belief propagation framework is proposed to determine the global consistent orientation for the entire set of data points.  ...  In this paper, we propose a new algorithm for the fundamental problem of reconstructing surfaces from a large set of unorganized 3D data points.  ...  Tyng-Luh Liu for his inspiring discussion about this work. The test models are from Stanford 3D scanning repository (Bunny and Armadillo) and Cyberware (Igea, rabbit, santa), respectively.  ... 
doi:10.1109/smi.2007.3 dblp:conf/smi/ChenL07 fatcat:qeqwlc45uvftnkohufofobzmve

Generalized MPU Implicits Using Belief Propagation

Yi-Ling Chen, Shang-Hong Lai, Tung-Ying Lee
2007 3-D Digital Imaging and Modeling  
In this paper, we present a new algorithm to reconstruct 3D surfaces from an unorganized point cloud based on generalizing the MPU implicit algorithm through introducing a powerful orientation inference  ...  scheme via Belief Propagation.  ...  Xiang Zhang for reviewing this paper. The test models are from Stanford 3D scanning repository (Bunny and Armadillo) and Cyberware (Igea, Rabbit, Isis), respectively.  ... 
doi:10.1109/3dim.2007.27 dblp:conf/3dim/ChenLL07 fatcat:agol3aq2tzagjmbo6gljatzcji

An Orientation Inference Framework for Surface Reconstruction From Unorganized Point Clouds

Yi-Ling Chen, Shang-Hong Lai
2011 IEEE Transactions on Image Processing  
In this paper, we present an orientation inference framework for reconstructing implicit surfaces from unoriented point clouds.  ...  We demonstrate the performance of the proposed method by showing the surface reconstruction results on some real-world 3D data sets with comparison to those by using the previous methods.  ...  A progressive reconstruction algorithm for RBFbased implicit surfaces is presented in Section V.  ... 
doi:10.1109/tip.2010.2076297 pmid:20840896 fatcat:ze7ph7hhgrdb7c6ie6iy2bvrii

Anatomically Plausible Surface Alignment and Reconstruction [article]

Rasmus R. Paulsen, Rasmus Larsen
2010 Computer Graphics and Visual Computing  
With the increasing clinical use of 3D surface scanners, there is a need for accurate and reliable algorithms that can produce anatomically plausible surfaces.  ...  In this paper, a combined method for surface alignment and reconstruction is proposed. It is based on an implicit surface representation combined with a Markov Random Field regularisation method.  ...  Acknowledgements The authors would like to thank the Oticon Foundation for partly funding this work and the 3D Craniofacial Image Research Laboratory at Copenhagen University for letting us use their scanner  ... 
doi:10.2312/localchapterevents/tpcg/tpcg10/249-254 dblp:conf/tpcg/PaulsenL10 fatcat:yudq5ihnj5ddngh6xzpwcfxhj4

Efficient Surface Reconstruction From Noisy Data Using Regularized Membrane Potentials

A.C. Jalba, J.B.T.M. Roerdink
2009 IEEE Transactions on Image Processing  
A physically motivated method for surface reconstruction is proposed that can recover smooth surfaces from noisy and sparse data sets. No orientation information is required.  ...  After aggregating the sample points on a volumetric grid, a novel, iterative algorithm is used to classify grid points as exterior or interior to the surface.  ...  [30] proposed a method based on the so-called "partition of the unity implicits," which can be regarded as the combination of algebraic patches and RBFs. Carr et al.  ... 
doi:10.1109/tip.2009.2016141 pmid:19342343 fatcat:icf5ulyzqbdvfnul3xkz6obzwi

Variational Bayesian inversion (VBI) of quasi-localized seismic attributes for the spatial distribution of geological facies

Muhammad Atif Nawaz, Andrew Curtis
2018 Geophysical Journal International  
We use the variational Bayes method which is a more efficient alternative that offers reliable detection of convergence.  ...  Most previous research in this domain is based on the localized likelihoods assumption, whereby the seismic attributes at a location are assumed to depend on the facies only at that location.  ...  We would also like to show our gratitude to Mohammed Shahraeeni and Constantin Gerea of TOTAL UK for providing useful suggestions and sharing their expertise during the course of this research.  ... 
doi:10.1093/gji/ggy163 fatcat:k3n3tsqq6nalfjfkoxbhe5f5n4

The theory and practice of Bayesian image labeling

Paul B. Chou, Christopher M. Brown
1990 International Journal of Computer Vision  
For surface reconstruction, he proposed to use a hybrid network in which discontinuity process (whose state is updated digitally by a stochastic procedure) acts as a set of switches between the nodes (  ...  The two important contributions of their work are the MAP estimation procedure -' using simulated annealing optimization and the use of coupled MRF's (one for the intensity process and one for the implicit  ... 
doi:10.1007/bf00054995 fatcat:lsjlh63nujcajjdsn2ep6er2xu

Stochastic Triangular Mesh Mapping [article]

Clint D. Lombard, Corné E. van Daalen
2019 arXiv   pre-print
For this purpose, we present the stochastic triangular mesh (STM) mapping technique: a 2.5-D representation of the surface of the environment using a continuous mesh of triangular surface elements, where  ...  The uncertainty in the measurements and robot pose are accounted for by the use of Bayesian inference techniques during the map update.  ...  Acknowledgements The authors would like to thank Johan du Preez for the valuable discussions, and allowing the use of the in-house probabilistic graphical modelling toolbox.  ... 
arXiv:1910.03644v1 fatcat:awhcdxbg4vdafiwi4qaxzwwg7a

Structured Learning and Prediction in Computer Vision

Sebastian Nowozin
2010 Foundations and Trends in Computer Graphics and Vision  
This includes discrete graphical models which we cover in detail together with a description of algorithms for both probabilistic inference and maximum a posteriori inference.  ...  In the second part of this tutorial we describe methods for parameter learning where we distinguish the classic maximum likelihood based methods from the more recent prediction-based parameter learning  ...  Further reading on Belief Propagation For a more detailed review of the belief propagation algorithms and proofs of its correctness for tree-structured factor graphs, see [Barber, 2010; Yedidia et al.  ... 
doi:10.1561/0600000033 fatcat:zaj7fmxw4ngj7f7x63js7dkm2u

Statistical physics and approximate message-passing algorithms for sparse linear estimation problems in signal processing and coding theory [article]

Jean Barbier
2015 arXiv   pre-print
We will use a method that allows to overcome the metastability mimicing the strategy adopted by nature itself for supercooled water: the nucleation and spatial coupling.  ...  We will also use the replica method of statistical physics of disordered systems which allows to associate to the studied problems a cost function referred as the potential of free entropy in physics.  ...  Merci à mes soeurs, Louise et Virginie. Merci à toute ma famille, présente dans les joies et difficultés. Remerciements êtes les meilleurs.  ... 
arXiv:1511.01650v1 fatcat:iusrdds7yrcpfegqqjlslyy2bm

Information field theory for cosmological perturbation reconstruction and nonlinear signal analysis

Torsten A. Enßlin, Mona Frommert, Francisco S. Kitaura
2009 Physical Review D  
of structure and galaxy formation and observations provide, can be reconstructed thanks to the virtue of a response-renormalization flow equation. 2) We design a filter to detect local non-linearities  ...  Starting from general considerations on the nature of measurements, signals, noise, and their relation to a physical reality, we derive the information Hamiltonian, the source field, propagator, and interaction  ...  Acknowledgements It is a pleasure to thank the following people for helpful scientific discussions on various aspects of this work: Simon White on the dangers of perturbation theory, Benjamin Wandelt on  ... 
doi:10.1103/physrevd.80.105005 fatcat:ynxal6nmjjdztkabjkcqdmnalm

Spectral Inference Methods on Sparse Graphs: Theory and Applications [article]

Alaa Saade
2016 arXiv   pre-print
In this dissertation, we use methods derived from the statistical physics of disordered systems to design and study new algorithms for inference on graphs.  ...  We develop an original theory of spectral inference based on a relaxation of various mean-field free energy optimizations.  ...  We introduce three closely related algorithms for this task: a belief propagation algorithm approximating the Bayes optimal solution, and two spectral algorithms based on the non-backtracking and Bethe  ... 
arXiv:1610.04337v1 fatcat:7dvgbovovnf4hpelj5peux6nti

Super-resolution: a comprehensive survey

Kamal Nasrollahi, Thomas B. Moeslund
2014 Machine Vision and Applications  
This has resulted in many research papers, each developing a new superresolution algorithm for a specific purpose.  ...  For each of the groups in the taxonomy, the basic concepts of the algorithms are first explained and then the paths through which each of these groups have evolved are given in detail, by mentioning the  ...  We are really thankful for the interesting comments of anonymous reviewers which have indeed helped improving this paper.  ... 
doi:10.1007/s00138-014-0623-4 fatcat:wtfkpzbrwbajlebfvemtspz3um

Computer Vision for Autonomous Vehicles: Problems, Datasets and State of the Art [article]

Joel Janai, Fatma Güney, Aseem Behl, Andreas Geiger
2021 arXiv   pre-print
This book attempts to narrow this gap by providing a survey on the state-of-the-art datasets and techniques.  ...  Our survey includes both the historically most relevant literature as well as the current state of the art on several specific topics, including recognition, reconstruction, motion estimation, tracking  ...  Surfaces: The final representation of a 3D reconstruction algorithm is typically a triangular mesh-based surface (right image in Figure 10.2).  ... 
arXiv:1704.05519v3 fatcat:xiintiarqjbfldheeg2hsydyra

International hearing protector standardization

Torben Poulsen
2002 Journal of the Acoustical Society of America  
Results of PE simulations will be described for pulse propagation in shallow water with a rough sea surface and a flat sandy sea floor.  ...  This adaptation algorithm is implemented as part of a GMM based continuous speech recognizer. It is tested using a non-native speakers dataset.  ...  Processing of the measured data shows the location of mines both graphically and audibly, either of which could be used as inputs for automatic target recognition algorithms.  ... 
doi:10.1121/1.4779221 fatcat:gxv33fedmrhxlf35odaqh3jybm
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