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Volumn 18, Issue 5, 2009, Pages 1119-1134

Efficient surface reconstruction from noisy data using regularized membrane potentials

Author keywords

Graphics processing units (GPU); Mass spring system; Membrane potential; Point cloud; Regularization; Surface reconstruction; Volumetric segmentation

Indexed keywords

GRAPHICS PROCESSING UNITS (GPU); MASS-SPRING SYSTEM; MEMBRANE POTENTIAL; POINT CLOUD; REGULARIZATION; VOLUMETRIC SEGMENTATION;

EID: 65149102055     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2009.2016141     Document Type: Article
Times cited : (25)

References (51)
  • 1
    • 3142781528 scopus 로고    scopus 로고
    • A graph-spectral approach to shape-from-shading
    • Jul
    • A. R. Kelly and E. Hancock, "A graph-spectral approach to shape-from-shading," IEEE Trans. Image Process., vol. 13, no. 7, pp. 912-926, Jul. 2004.
    • (2004) IEEE Trans. Image Process , vol.13 , Issue.7 , pp. 912-926
    • Kelly, A.R.1    Hancock, E.2
  • 2
    • 0032028276 scopus 로고    scopus 로고
    • Variational principles, surface evolution, pdes, level set methods, and the stereo problem
    • Mar
    • O. D. Faugeras and R. Keriven, "Variational principles, surface evolution, pdes, level set methods, and the stereo problem," IEEE Trans. Image Process., vol. 7, no. 3, pp. 336-344, Mar. 1998.
    • (1998) IEEE Trans. Image Process , vol.7 , Issue.3 , pp. 336-344
    • Faugeras, O.D.1    Keriven, R.2
  • 3
    • 0032074903 scopus 로고    scopus 로고
    • Shape from texture: Estimation of planar surface orientation through the ridge surfaces of continuous wavelet transform
    • May
    • W.-L. Hwang, C.-S. Lu, and P.-C. Chung, "Shape from texture: Estimation of planar surface orientation through the ridge surfaces of continuous wavelet transform," IEEE Trans. Image Process., vol. 7, no. 5, pp. 773-780, May 1998.
    • (1998) IEEE Trans. Image Process , vol.7 , Issue.5 , pp. 773-780
    • Hwang, W.-L.1    Lu, C.-S.2    Chung, P.-C.3
  • 4
    • 48349083844 scopus 로고    scopus 로고
    • Local hull-based surface construction of volumetric data from silhouettes
    • Aug
    • D. Shin and T. Tjahjadi, "Local hull-based surface construction of volumetric data from silhouettes," IEEE Trans. Image Process., vol. 17, no. 8, pp. 1251-1260, Aug. 2008.
    • (2008) IEEE Trans. Image Process , vol.17 , Issue.8 , pp. 1251-1260
    • Shin, D.1    Tjahjadi, T.2
  • 5
    • 33646878047 scopus 로고    scopus 로고
    • Recovery of surface orientation from diffuse polarization
    • Jun
    • G. Atkinson and E. R. Hancock, "Recovery of surface orientation from diffuse polarization," IEEE Trans. Image Process., vol. 15, no. 6, pp. 1653-1664, Jun. 2006.
    • (2006) IEEE Trans. Image Process , vol.15 , Issue.6 , pp. 1653-1664
    • Atkinson, G.1    Hancock, E.R.2
  • 6
    • 24144472594 scopus 로고    scopus 로고
    • Three-dimensional surface reconstruction from multistatic sar images
    • Aug
    • B. D. Rigling and R. L. Moses, "Three-dimensional surface reconstruction from multistatic sar images," IEEE Trans. Image Process., vol. 14, no. 8, pp. 1159-1171, Aug. 2005.
    • (2005) IEEE Trans. Image Process , vol.14 , Issue.8 , pp. 1159-1171
    • Rigling, B.D.1    Moses, R.L.2
  • 7
    • 35948960936 scopus 로고    scopus 로고
    • Efficient surface reconstruction from noisy data using regularized membrane potentials
    • A. C. Jalba and J. B. T. M. Roerdink, B. S. Santos, T. Ertl, and K. Joy, Eds, Lisbon, Portugal, May 8-10, The Eurographics Association
    • A. C. Jalba and J. B. T. M. Roerdink, B. S. Santos, T. Ertl, and K. Joy, Eds., "Efficient surface reconstruction from noisy data using regularized membrane potentials," in Proc. Eurographics/IEEE VGTC Symp. Visualization, Lisbon, Portugal, May 8-10, 2006, pp. 83-90, The Eurographics Association.
    • (2006) Proc. Eurographics/IEEE VGTC Symp. Visualization , pp. 83-90
  • 8
    • 0032028909 scopus 로고    scopus 로고
    • The crust and the β-skeleton: Combinatorial curve reconstruction
    • N. Amenta, M. Bern, and D. Eppstein, "The crust and the β-skeleton: Combinatorial curve reconstruction," Graph. Model Image Process., vol. 60, no. 2, pp. 125-135, 1998.
    • (1998) Graph. Model Image Process , vol.60 , Issue.2 , pp. 125-135
    • Amenta, N.1    Bern, M.2    Eppstein, D.3
  • 9
    • 0031629515 scopus 로고    scopus 로고
    • A new Voronoi-based surface reconstruction algorithm
    • N. Amenta, M. Bern, and M. Kamvysselis, "A new Voronoi-based surface reconstruction algorithm," in Proc. SIGGRAPH, 1998, pp. 415-421.
    • (1998) Proc. SIGGRAPH , pp. 415-421
    • Amenta, N.1    Bern, M.2    Kamvysselis, M.3
  • 10
    • 84913415905 scopus 로고
    • Geometric structures for three-dimensional shape reconstruction
    • J. D. Boissonnat, "Geometric structures for three-dimensional shape reconstruction," ACM Trans. Graph., vol. 3, no. 4, pp. 266-289, 1984.
    • (1984) ACM Trans. Graph , vol.3 , Issue.4 , pp. 266-289
    • Boissonnat, J.D.1
  • 11
    • 0028259338 scopus 로고
    • Three-dimensional alpha shapes
    • H. Edelsbrunner and E. P. Mücke, "Three-dimensional alpha shapes," ACM Trans. Graph., vol. 13, no. 1, pp. 43-72, 1994.
    • (1994) ACM Trans. Graph , vol.13 , Issue.1 , pp. 43-72
    • Edelsbrunner, H.1    Mücke, E.P.2
  • 13
    • 0033702377 scopus 로고    scopus 로고
    • Smooth surface reconstruction via natural neighbor interpolation of distance functions
    • J. D. Boissonnat and F. Cazals, "Smooth surface reconstruction via natural neighbor interpolation of distance functions," in Proc. 16th Annu. Symp. Computational Geometry, 2000, pp. 223-232.
    • (2000) Proc. 16th Annu. Symp. Computational Geometry , pp. 223-232
    • Boissonnat, J.D.1    Cazals, F.2
  • 15
    • 0030400638 scopus 로고    scopus 로고
    • A volumetric method for building complex models from range images
    • B. Curless and M. Levoy, "A volumetric method for building complex models from range images," in Proc. SIGGRAPH, 1996, pp. 303-312.
    • (1996) Proc. SIGGRAPH , pp. 303-312
    • Curless, B.1    Levoy, M.2
  • 17
    • 0029201534 scopus 로고
    • Automatic reconstruction of surfaces and scalar fields from 3D scans
    • C. L. Bajaj, F. Bernardini, and G. Xu, "Automatic reconstruction of surfaces and scalar fields from 3D scans," Comput. Graph., vol. 29, pp. 109-118, 1995.
    • (1995) Comput. Graph , vol.29 , pp. 109-118
    • Bajaj, C.L.1    Bernardini, F.2    Xu, G.3
  • 18
    • 0032205172 scopus 로고    scopus 로고
    • Inference of integrated surface, curve, and junction descriptions from sparse 3-D data
    • C. K. Tang and G. Medioni, "Inference of integrated surface, curve, and junction descriptions from sparse 3-D data," IEEE Trans. Pattern Anal. Mach. Intell., vol. 20, pp. 1206-1223, 1998.
    • (1998) IEEE Trans. Pattern Anal. Mach. Intell , vol.20 , pp. 1206-1223
    • Tang, C.K.1    Medioni, G.2
  • 20
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • S. Osher and J. A. Sethian, "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations," J. Comput. Phys., vol. 79, pp. 12-49, 1988.
    • (1988) J. Comput. Phys , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 21
    • 1942453434 scopus 로고    scopus 로고
    • Processing textured surfaces via anisotropic geometric diffusion
    • Feb
    • U. Clarenz, U. Diewald, and M. Rumpf, "Processing textured surfaces via anisotropic geometric diffusion," IEEE Trans. Image Process., vol. 13, no. 2, pp. 248-261, Feb. 2004.
    • (2004) IEEE Trans. Image Process , vol.13 , Issue.2 , pp. 248-261
    • Clarenz, U.1    Diewald, U.2    Rumpf, M.3
  • 22
    • 0031141532 scopus 로고    scopus 로고
    • Mean curvature evolution and surface area scaling in image filtering
    • May
    • A. I. El-Fallah and G. E. Ford, "Mean curvature evolution and surface area scaling in image filtering," IEEE Trans. Image Process., vol. 6, no. 5, pp. 750-753, May 1997.
    • (1997) IEEE Trans. Image Process , vol.6 , Issue.5 , pp. 750-753
    • El-Fallah, A.I.1    Ford, G.E.2
  • 23
    • 4544240733 scopus 로고    scopus 로고
    • Noise removal using smoothed normals and surface fitting
    • Oct
    • O. M. Lysaker, S. Osher, and X.-C. Tai, "Noise removal using smoothed normals and surface fitting," IEEE Trans. Image Process., vol. 13, no. 10, pp. 1345-1357, Oct. 2004.
    • (2004) IEEE Trans. Image Process , vol.13 , Issue.10 , pp. 1345-1357
    • Lysaker, O.M.1    Osher, S.2    Tai, X.-C.3
  • 25
    • 84884792253 scopus 로고    scopus 로고
    • Interpolating implicit surfaces from scattered surface data using compactly supported radial basis functions
    • B. S. Morse, T. S. Yoo, P. Rheingans, D. T. Chen, and K. R. Subramanian, "Interpolating implicit surfaces from scattered surface data using compactly supported radial basis functions," in Proc. Shape Modeling International, 2001, pp. 89-98.
    • (2001) Proc. Shape Modeling International , pp. 89-98
    • Morse, B.S.1    Yoo, T.S.2    Rheingans, P.3    Chen, D.T.4    Subramanian, K.R.5
  • 27
    • 0036807138 scopus 로고    scopus 로고
    • Reconstructing surfaces by volumetric regularization using radial basis functions
    • H. Q. Dinh, G. Turk, and G. Slabaugh, "Reconstructing surfaces by volumetric regularization using radial basis functions," IEEE Trans. Pattern Anal. Machine Intell., pp. 1358-1371, 2002.
    • (2002) IEEE Trans. Pattern Anal. Machine Intell , pp. 1358-1371
    • Dinh, H.Q.1    Turk, G.2    Slabaugh, G.3
  • 28
    • 0004252730 scopus 로고    scopus 로고
    • Variational Implicit Surfaces, Georgia Inst. Technol., Atlanta
    • Tech. Rep
    • G. Turk and J. O'Brien, Variational Implicit Surfaces, Georgia Inst. Technol., Atlanta, Tech. Rep., 1999.
    • (1999)
    • Turk, G.1    O'Brien, J.2
  • 29
    • 84884805714 scopus 로고    scopus 로고
    • Multi-scale approach to 3D scattered data interpolation with compactly supported basis functions
    • Y. Ohtake, A. Belyaev, and H. Seidel, "Multi-scale approach to 3D scattered data interpolation with compactly supported basis functions," in Proc. Shape Modeling International, 2003, pp. 153-164.
    • (2003) Proc. Shape Modeling International , pp. 153-164
    • Ohtake, Y.1    Belyaev, A.2    Seidel, H.3
  • 32
    • 84971372881 scopus 로고
    • Marching cubes: A high resolution 3D surface construction algorithm
    • W. E. Lorensen and H. E. Cline, "Marching cubes: A high resolution 3D surface construction algorithm," in Proc. SIGGRAPH, 1987, pp. 1631-169.
    • (1987) Proc. SIGGRAPH , pp. 1631-2169
    • Lorensen, W.E.1    Cline, H.E.2
  • 33
    • 0027695683 scopus 로고
    • An evaluation of implicit surface tilers
    • P. Ning and J. Bloomenthal, "An evaluation of implicit surface tilers," IEEE Comput. Graph. Appl., vol. 13, pp. 33-41, 1993.
    • (1993) IEEE Comput. Graph. Appl , vol.13 , pp. 33-41
    • Ning, P.1    Bloomenthal, J.2
  • 35
    • 49549168899 scopus 로고
    • Numerical simulation of hydromechanics by the method of point vortices
    • J. P. Christiansen, "Numerical simulation of hydromechanics by the method of point vortices," J. Comput. Phys., vol. 13, pp. 363-379, 1973.
    • (1973) J. Comput. Phys , vol.13 , pp. 363-379
    • Christiansen, J.P.1
  • 36
    • 0032092127 scopus 로고    scopus 로고
    • Stereo matching with nonlinear diffusion
    • D. Scharstein and R. Szeliski, "Stereo matching with nonlinear diffusion," Int. J. Comput. Vis., vol. 28, pp. 155-174, 1998.
    • (1998) Int. J. Comput. Vis , vol.28 , pp. 155-174
    • Scharstein, D.1    Szeliski, R.2
  • 37
    • 0022756380 scopus 로고
    • Regularisation of inverse visual problems involving discontinuites
    • D. Terzopoulos, "Regularisation of inverse visual problems involving discontinuites," IEEE Trans. Pattern Anal. Mach. Intell., vol. 8, pp. 413-424, 1986.
    • (1986) IEEE Trans. Pattern Anal. Mach. Intell , vol.8 , pp. 413-424
    • Terzopoulos, D.1
  • 38
    • 0032028944 scopus 로고    scopus 로고
    • Snakes, shapes, and gradient vector flow
    • Mar
    • C. Xu and J. Prince, "Snakes, shapes, and gradient vector flow," IEEE Trans. Image Process., vol. 7, no. 3, pp. 359-369, Mar. 1998.
    • (1998) IEEE Trans. Image Process , vol.7 , Issue.3 , pp. 359-369
    • Xu, C.1    Prince, J.2
  • 39
    • 1942507479 scopus 로고    scopus 로고
    • Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations
    • C. Y. Kao, S. Osher, and J. Qian, "Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations," J. Comput. Phys., vol. 196, pp. 367-391, 2004.
    • (2004) J. Comput. Phys , vol.196 , pp. 367-391
    • Kao, C.Y.1    Osher, S.2    Qian, J.3
  • 40
    • 84984011558 scopus 로고
    • Adaptive meshes and shells: Irregular triangulation, discontinuities, and hierarchical subdivision
    • M. Vasilescu and D. Terzopoulos, "Adaptive meshes and shells: Irregular triangulation, discontinuities, and hierarchical subdivision," in Proc. CVPR, 1992, pp. 829-832.
    • (1992) Proc. CVPR , pp. 829-832
    • Vasilescu, M.1    Terzopoulos, D.2
  • 41
    • 0029214471 scopus 로고
    • Estimating the tensor of curvature of a surface from a polyhedral approximation
    • IEEE Computer Society
    • G. Taubin, "Estimating the tensor of curvature of a surface from a polyhedral approximation," in Proc. ICCV, 1995, pp. 902-907, IEEE Computer Society.
    • (1995) Proc. ICCV , pp. 902-907
    • Taubin, G.1
  • 42
    • 0026889669 scopus 로고
    • Functional optimization for fair surface design
    • New York, NY
    • H. P. Moreton and C. H. Séquin, "Functional optimization for fair surface design," in Proc. SIGGRAPH, New York, NY, 1992, pp. 167-176.
    • (1992) Proc. SIGGRAPH , pp. 167-176
    • Moreton, H.P.1    Séquin, C.H.2
  • 43
    • 22944467757 scopus 로고
    • Computer experiments on classical fluids I. Thermodynamical properties of Lennard-Jones molecules
    • L. Verlet, "Computer experiments on classical fluids I. Thermodynamical properties of Lennard-Jones molecules," Phys. Rev., vol. 159, pp. 98-103, 1967.
    • (1967) Phys. Rev , vol.159 , pp. 98-103
    • Verlet, L.1
  • 45
    • 77953998137 scopus 로고    scopus 로고
    • Sparse matrix solvers on the GPU: Conjugate gradients and multigrid
    • J. Bolz, I. Farmer, E. Grinspun, and P. Schröder, "Sparse matrix solvers on the GPU: Conjugate gradients and multigrid," in Proc. SIGGRAPH, 2003, pp. 917-924.
    • (2003) Proc. SIGGRAPH , pp. 917-924
    • Bolz, J.1    Farmer, I.2    Grinspun, E.3    Schröder, P.4
  • 46
    • 15944422239 scopus 로고    scopus 로고
    • Isosurface computation made simple
    • V. Pascucci, "Isosurface computation made simple," in Proc. VisSym 2004, pp. 293-300.
    • (2004) Proc. VisSym , pp. 293-300
    • Pascucci, V.1
  • 47
    • 4644242396 scopus 로고    scopus 로고
    • Discrete differential-geometry operators for triangulated 2-manifolds
    • M. Meyer, M. Desbrun, P. Schröder, and A. H. Barr, H.-C. Hege and K. Polthier, Eds, Heidelberg, Germany: Springer-Verlag
    • M. Meyer, M. Desbrun, P. Schröder, and A. H. Barr,, H.-C. Hege and K. Polthier, Eds., "Discrete differential-geometry operators for triangulated 2-manifolds," in Visualization and Mathematics III. Heidelberg, Germany: Springer-Verlag, 2003, pp. 35-57.
    • (2003) Visualization and Mathematics III , pp. 35-57
  • 48
    • 85015718223 scopus 로고    scopus 로고
    • Implicit fairing of irregular meshes using diffusion and curvature flow
    • New York
    • M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr, "Implicit fairing of irregular meshes using diffusion and curvature flow," in Proc. SIGGRAPH, New York, 1999, pp. 317-324.
    • (1999) Proc. SIGGRAPH , pp. 317-324
    • Desbrun, M.1    Meyer, M.2    Schröder, P.3    Barr, A.H.4
  • 49
    • 33646060082 scopus 로고    scopus 로고
    • Non-iterative, feature-preserving mesh smoothing
    • T. R. Jones, F. Durand, and M. Desbrun, "Non-iterative, feature-preserving mesh smoothing," ACM Trans. Graph., vol. 22, no. 3, pp. 943-949, 2003.
    • (2003) ACM Trans. Graph , vol.22 , Issue.3 , pp. 943-949
    • Jones, T.R.1    Durand, F.2    Desbrun, M.3
  • 50
    • 4644312435 scopus 로고    scopus 로고
    • A. C. Jalba, M. H. F. Wilkinson, and J. B. T. M. Roerdink, CPM: A deformable model for shape recovery and segmentation based on charged particles, IEEE Trans. Pattern Anal. Mach. Intell., 26, pp. 1320-1335, 2004.
    • A. C. Jalba, M. H. F. Wilkinson, and J. B. T. M. Roerdink, "CPM: A deformable model for shape recovery and segmentation based on charged particles," IEEE Trans. Pattern Anal. Mach. Intell., vol. 26, pp. 1320-1335, 2004.
  • 51
    • 0024163841 scopus 로고
    • Shape reconstruction from planar cross-sections
    • J. D. Boissonnat, "Shape reconstruction from planar cross-sections," Comput. Vis. Graph. Image Process., vol. 44, pp. 1-29, 1988.
    • (1988) Comput. Vis. Graph. Image Process , vol.44 , pp. 1-29
    • Boissonnat, J.D.1


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