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N-Dimensional Surface Reconstruction From A Noisy Normal Vector Field
2012
Zenodo
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CONCLUSION We have developed a method to reconstruct an implicit hypersurface of a N -dimensional vector space from a normal vector field generally supposed to be unreliable and noisy. ...
Methods to reconstruct a surface from a normal vector field are developed in literature. ...
doi:10.5281/zenodo.42961
fatcat:jo4jzepphjc57heojzu74qafmi
Surface-from-Gradients: An Approach Based on Discrete Geometry Processing
2014
2014 IEEE Conference on Computer Vision and Pattern Recognition
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In this paper, we propose an efficient method to reconstruct surface-from-gradients (SfG). Our method is formulated under the framework of discrete geometry processing. ...
Unlike the existing SfG approaches, we transfer the continuous reconstruction problem into a discrete space and efficiently solve the problem via a sequence of least-square optimization steps. ...
Mathematically, a gradient field generated from a three-dimensional surface should be integrable -that is the integral along any closed path should be equal to zero and integration results should be independent ...
doi:10.1109/cvpr.2014.282
dblp:conf/cvpr/XieZWC14
fatcat:7wwv3cdq5rgkdgby7p2nls3yey
Scatterometer image reconstruction from aperture-filtered samples
2010
2010 IEEE International Geoscience and Remote Sensing Symposium
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A reconstruction estimator based on maximum a posteriori probability (MAP) estimation is proposed to recover the conventional samples from noisy aperture-filtered samples. ...
Backscatter imaging is approached as the inversion of a noisy aperturefiltered sampling operation. ...
The σ 0 measurements represent noisy aperture-filtered samples of the two-dimensional σ 0 field. ...
doi:10.1109/igarss.2010.5654148
dblp:conf/igarss/WilliamsL10
fatcat:mftiwjwzfzex7jegvzq3nxf7sm
Learning modified indicator functions for surface reconstruction
2021
Computers & graphics
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2021 pre-print arXiv:2111.09526v1 fatcat:5dv5wkwl3vdjnlv2jzqbiuunaeOther Versions
Surface reconstruction is a fundamental problem in 3D graphics. In this paper, we propose a learning-based approach for implicit surface reconstruction from raw point clouds without normals. ...
We design a novel deep neural network to perform surface integral and learn the modified indicator functions from un-oriented and noisy point clouds. ...
[3, 5] apply a smooth filter to the normal field. Lu et al. [7] utilize a modified Gauss formula to construct a relatively smooth function near the surface. ...
doi:10.1016/j.cag.2021.10.017
fatcat:wwgf2ednfvfwfoagiwzf6jkpve
Robust flow field reconstruction from limited measurements via sparse representation
[article]
2019
arXiv
pre-print
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In many applications it is important to estimate a fluid flow field from limited and possibly corrupt measurements. ...
Based on these results, sparse representation is a promising framework for extracting useful information from complex flow fields with realistic measurements. ...
Acknowledgements We gratefully acknowledge funding support from the Air Force Office of Scientific Research (FA9550-18-1-0200 & FA9550-16-1-0650) and the Army Research Office (W911NF-17-1-0422). ...
arXiv:1810.06723v2
fatcat:eq7gdbtjnbh3xkwa2kemdbgmme
SSD: Smooth Signed Distance Surface Reconstruction
2011
Computer graphics forum (Print)
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We introduce a new variational formulation for the problem of reconstructing a watertight surface defined by an implicit equation, from a finite set of oriented points; a problem which has attracted a ...
In addition, rather than first extending the oriented points to a vector field within the bounding volume, and then approximating the vector field by a gradient field in the least squares sense, here the ...
As a result, the vector field samples are first extended to a continuous three dimensional vector field v(x) defined on the volume V . ...
doi:10.1111/j.1467-8659.2011.02058.x
fatcat:p47iz37xfnfzfe6bj7xc3kmhx4
Multi-level hermite variational interpolation and quasi-interpolation
2013
The Visual Computer
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reconstruction, and leads to a fast and stable surface reconstruction from scattered points. ...
In addition, we present a multilevel quasi-interpolation method which directly uses normal vectors to construct non-zero constraints and avoids solving any linear system, a common step of variational surface ...
We also thank Michael Kazhdan and Hugues Hoppe for providing their screened Poisson reconstruction implementation, Yutaka Ohtake and his colleagues for providing their multi-level CSRBF reconstruction ...
doi:10.1007/s00371-013-0801-9
fatcat:fkb5sq4b7bc4hhub4hqdedrjzm
Poisson Surface Reconstruction
[article]
2006
Symposium on geometry processing : [proceedings]. Symposium on Geometry Processing
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We show that surface reconstruction from oriented points can be cast as a spatial Poisson problem. ...
Experimenting with publicly available scan data, we demonstrate reconstruction of surfaces with greater detail than previously achievable. ...
The gradient of the smoothed indicator function is equal to the vector field obtained by smoothing the surface normal field: ∇ χ M * F (q 0 ) = ∂ M Fp (q 0 ) N ∂ M (p)d p. (1) Proof: To prove this, we ...
doi:10.2312/sgp/sgp06/061-070
fatcat:ggh4a7xxcbahxfh3emcsmpp5au
Surface reconstruction with higher-order smoothness
2011
The Visual Computer
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This work proposes a method to reconstruct surfaces with higher-order smoothness from noisy 3D measurements. ...
The key idea is to find a function whose higher-order derivatives are regularized and whose gradient is best aligned with a vector field defined by the input point set. ...
From the orientations for the data points, a vector field 3 : F R Ω → encoding the normal directions is estimated by a smoothing filter. ...
doi:10.1007/s00371-011-0604-9
fatcat:fn344ppnojft5aqpjka47e2pfy
Mesh-based Multi-view Normal Integration with Energy Minimization Using Surface Reflectance Properties
2018
Journal of WSCG
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The integration requires normal vector field from multiple viewpoints, which we can derive from surface reflectance. ...
We propose a technique to reconstruct a general 3D object using surface reflectance information from multiple viewpoints. ...
[5] introduced a new technique that can reconstructs 3D surface using normal vector information from multiple viewpoints. ...
doi:10.24132/jwscg.2018.26.2.3
fatcat:gy4vpyjc4bgsfmvpk42imi4tcq
Surface Recovery: Fusion of Image and Point Cloud
2015
2015 IEEE International Conference on Computer Vision Workshop (ICCVW)
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In this paper, we propose two surface recovery approaches based on geometry and brightness of the surface. ...
However, cost-effective laser scanners provide noisy and low resolution point cloud and they are prone to systematic errors. ...
The brightness changes indicate the changes in normal direction of the surface at these points [26] , such as |I(x) − I(x ′ )| ≃ arccos( n ⊤ X n X ′ ), (7) where n x and n X ′ are normal vectors to the ...
doi:10.1109/iccvw.2015.32
dblp:conf/iccvw/Hosseinyalamdary15
fatcat:emkutvwpurapbjwohrw34dnr5i
Neural-IMLS: Learning Implicit Moving Least-Squares for Surface Reconstruction from Unoriented Point Clouds
[article]
2021
arXiv
pre-print
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Surface reconstruction from noisy, non-uniform, and unoriented point clouds is a fascinating yet challenging problem in computer vision and graphics. ...
We prove that when the couple of SDFs coincide, our neural network can predict a signed implicit function whose zero level-set serves as a good approximation to the underlying surface. ...
We assume that f is an unsigned distance field whose zero-level surface has a 3-dimensional measure (volume) of 0. ...
arXiv:2109.04398v2
fatcat:vxgmmptimvhlre5n5nck5dwaoq
3D surface modeling from curves
2004
Image and Vision Computing
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A strategy for updating the reconstructed surface during data acquisition is described as well. Curves are accumulated in a volumetric structure in which a vector field is built and updated. ...
This paper presents a novel approach for reconstructing a surface from a set of arbitrary, unorganized and intersecting curves. ...
The reconstructed surface can be extracted from the vector field f (p) using the Marching Cubes algorithm. ...
doi:10.1016/s0262-8856(04)00059-9
fatcat:f325yacmtncj7nmljco2jzhhy4
3D surface modeling from curves
2004
Image and Vision Computing
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A strategy for updating the reconstructed surface during data acquisition is described as well. Curves are accumulated in a volumetric structure in which a vector field is built and updated. ...
This paper presents a novel approach for reconstructing a surface from a set of arbitrary, unorganized and intersecting curves. ...
The reconstructed surface can be extracted from the vector field f (p) using the Marching Cubes algorithm. ...
doi:10.1016/j.imavis.2004.03.006
fatcat:v2pxix3urrb2voqqed52tjhb64
Reduction of artifacts in dental cone beam CT images to improve the three dimensional image reconstruction
2012
Journal of Biomedical Science and Engineering
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The modified projection data, using synthetically Radon Transformation, were then used to reconstruct a new back projected CBCT image. ...
It deals with reconstructed CBCT dicom images and can effectively reduce such metal artifacts. ...
We can use this fact to determine surface normal vector n if the magnitude of the gradient g is nonzero. ...
doi:10.4236/jbise.2012.58052
fatcat:vdhikxrhjnhbhccs52kgvohqre
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