11.3.4 Fitting Curved Surfaces

Chapter Contents (Back)
Surface Reconstruction.

Dube, R.P.,
Tension In A Bicubic Surface Patch,
CGIP(5), No. 4, December 1976, pp. 496-502.
WWW Version. BibRef 7612

Dube, R.P.[R. Peter],
Univariate Blending Functions and Alternatives,
CGIP(6), No. 4, August 1977, pp. 394-408.
WWW Version. 0501
BibRef

Midgley, J.E.,
Isotropic Four-Point Interpolation,
CGIP(11), No. 2, October 1979, pp. 192-196.
WWW Version. BibRef 7910

Bookstein, F.L.,
The Measurement of Biological Shape and Shape Change,
SpringerNew York, 1978. BibRef 7800

Bookstein, F.L.,
A Statistical Method for Biological Shape Comparisons,
Theoretical Biology(107), 1984, pp. 475-520. Tensor methods to compare mean sizes, mean shapes, and shape changes over time. BibRef 8400

Bookstein, F.L.,
Size and Shape Spaces for Landmark Data in Two Dimensions,
Statictical Science(1), No. 2, 1986, pp. 181-242. centroid size variable and shape variables are uncorrelated. BibRef 8600

Bookstein, F.L.,
Morphometric Tools for Landmark Data: Geometry and Biology,
Cambridge University PressCambridge, MA, 1991. BibRef 9100

Bookstein, F.L.,
Landmark Methods for Forms Without Landmarks: Localizing Group Differences in Outline Shapes,
MMBIA96(SHAPE) BibRef 9600

Artzy, E.,
Display of Three-Dimensional Information in Computed Tomography,
CGIP(9), No. 2, February 1979, pp. 196-198.
WWW Version. BibRef 7902

Artzy, E., Frieder, G., and Herman, G.T.,
The Theory, Design, Implementation and Evaluation of a 3D Surface Detection Algorithm,
CGIP(15), No. 1, January 1981, pp. 1-24.
WWW Version. Evaluation, Reconstruction. BibRef 8101

Herman, G.T., and Liu, H.K.,
Dynamic Boundary Surface Detection,
CGIP(7), No. 1, February 1978, pp. 130-138.
WWW Version. BibRef 7802

Herman, G.T., and Liu, H.K.,
3D Display of Human Organs from Computed Tomograms,
CGIP(9), No. 1, 1979, pp. 1-21.
WWW Version. BibRef 7900

Gullberg, G.T.,
The Reconstruction of Fan-Beam Data by Filtering the Back-Projection,
CGIP(10), No. 1, May 1979, pp. 30-47.
WWW Version. BibRef 7905

Minerbo, G.,
MENT: A Maximum Entropy Algorithm for Reconstructing a Source from Projection Data,
CGIP(10), No. 1, May 1979, pp. 48-68.
WWW Version. BibRef 7905

Verly, J.G.,
High-Resolution Imaging in 3-D Reconstructive Tomography,
CGIP(16), No. 1, May 1981, pp. 1-19.
WWW Version. BibRef 8105

Gillman, G., MacLeod, I.,
Reconstruction of X-Ray Sources from Penumbral images,
CGIP(11), No. 3, November 1979, pp. 227-241.
WWW Version. BibRef 7911

Bolle, R.M., and Cooper, D.B.,
Bayesian Recognition of Local 3-D Shape by Approximating Image Intensity Functions with Quadric Polynomials,
PAMI(6), No. 4, July 1984, pp. 418-429. BibRef 8407

Bolle, R.M., Cooper, D.B., and Cernuschi-Frias, B.,
Three-Dimensional Surface Shape Recognition by Approximating Image Intensity Functions with Quadric Polynomials,
PRIP82(611-617). BibRef 8200

Cernuschi-Frias, B., Cooper, D.B., and Bolle, R.M.,
Estimation of Location and Orientation of 3-D Surfaces Using a Single 2-D Image,
PRIP82(605-610). BibRef 8200

Shirman, L., Sequin, C.,
Local Surface Interpolation with Bezier Patches,
CADG(4), 1987, pp. 279-295. BibRef 8700

Xu, S.B., Lu, W.X.,
Surface Reconstruction of 3D Objects in Computerized Tomography,
CVGIP(44), No. 3, December 1988, pp. 270-278.
WWW Version. BibRef 8812

Cao, X.P., Shrikande, N., Hu, G.Z.,
Approximate Orthogonal Distance Regression Method for Fitting Quadric Surfaces to Range Data,
PRL(15), No. 8, August 1994, pp. 781-796. BibRef 9408

Cai, Y.Y., Nee, A.Y.C., Loh, H.T.,
Geometric Feature Detection for Reverse Engineering Using Range Imaging,
JVCIR(7), No. 3, September 1996, pp. 205-216. Quadric Surfaces. Recognition. BibRef 9609

Sankar, P.V., Silbermann, M.J., Ferrari, L.A.,
Curve and Surface Generation and Refinement: Based on a High-Speed Derivative Algorithm,
GMIP(56), No. 1, January 1994, pp. 94-101. BibRef 9401

Snyder, W.E., Groshong, R., Hsiao, M., Boone, K.L., Hudacko, T.,
Closing Gaps in Edges and Surfaces,
IVC(10), No. 8, October 1992, pp. 523-531.
WWW Version. BibRef 9210

Lee, C.H., Seidman, T., Rosenfeld, A.,
Generation Process for the Reconstruction of Space Curves,
IVC(8), No. 2, May 1990, pp. 99-107.
WWW Version. BibRef 9005

Baird, L., and Wang, P.,
3D Object Perception Using Gradient Descent,
JMIV(5), No. 2, June 1995, pp. 111-117. BibRef 9506

Lim, Y.S., Cho, T.I., Park, K.H.,
Range Image Segmentation Based on 2D Quadratic Function Approximation,
PRL(11), 1990, pp. 699-708. BibRef 9000

Liao, C.W.[Chia-Wei], Medioni, G.[Gerard],
Surface Approximation of a Cloud of 3D Points,
GMIP(57), No. 1, January 1995, pp. 67-74. Attempt to work on multiple objects and those with holes. Extract the object, then the parts that are not explained right, and generate a CSG representation for the various combinations.
PDF Version. BibRef 9501

Liao, C.W.[Chia-Wei], Medioni, G.[Gerard],
Simultaneous Surface Approximation and Segmentation of Complex Objects,
CVIU(73), No. 1, January 1999, pp. 43-63.
WWW Version.
PDF Version. BibRef 9901

Liao, C.W.[Chia Wei], and Medioni, G.[Gerard],
Surface Approximation Of Complex Multipart Objects,
PBMCV95(SESSION 1). BibRef 9500
Earlier:
Surface Approximation of Complex 3-D Objects,
ARPA94(II:1461-1468).
PDF Version. BibRef
And:
Simultaneous Segmentation and Approximation of Complex Patterns,
CVPR94(617-623).
IEEE Abstract. BibRef

Liao, C.W.[Chia-Wei], Medioni, G.[Gerard],
Surface Approximation and Segmentation of Objects with Unknown Topology,
ARPA96(1033-1040). BibRef 9600

Liao, C.W.[Chia Wei], and Medioni, G.[Gerard],
Representation of Range Data with B-Spline Surface Patches,
ICPR92(III:745-748).
IEEE DOI Link BibRef 9200

Laurentini, A.,
Surface Reconstruction Accuracy for Active Volume,
PRL(17), No. 12, October 25 1996, pp. 1285-1292. 9612
BibRef

Best, L., Magee, M.,
Autonomous Construction of 3-Dimensional Models from Range Data,
PR(31), No. 2, February 1998, pp. 121-136.
WWW Version. 9802
BibRef

Agarwal, P.K.[Pankaj K.], Suri, S.[Subhash],
Surface Approximation and Geometric Partitions,
SIAM_JC(27), No. 4, 1998, pp. 1016-1035. Study of computational complexity. BibRef 9800

Zhang, J.W.[Ji-Wen],
C-Bezier Curves and Surfaces,
GMIP(61), No. 1, January 1999, pp. 2-15. BibRef 9901

Keren, D.[Daniel], Werman, M.[Michael],
A Full Bayesian Approach to Curve and Surface Reconstruction,
JMIV(11), No. 1, September 1999, pp. 27-43.
WWW Version. See also Bayesian Method for Fitting Parametric and Nonparametric Models to Noisy Data, A. BibRef 9909

Keren, D.[Daniel], Werman, M.[Michael],
Probabilistic Analysis of Regularization,
PAMI(15), No. 10, October 1993, pp. 982-995.
IEEE Abstract.
IEEE DOI Link BibRef 9310
Earlier:
Variations on Regularization,
ICPR90(I: 93-98).
IEEE DOI Link Regularization applied to 3-D surface fitting of range points. BibRef

Keren, D.[Daniel], Werman, M.[Michael],
Bayesian Regularization,
ARPA94(II:1607-1609). BibRef 9400
And:
A Bayesian Framework For Regularization,
ICPR94(C:72-76).
IEEE DOI Link BibRef

Bubna, K.[Kishore], Stewart, C.V.[Charles V.],
Model Selection Techniques and Merging Rules for Range Data Segmentation Algorithms,
CVIU(80), No. 2, November 2000, pp. 215-245.
WWW Version. 0012
BibRef
Earlier:
Model Selection and Surface Merging in Reconstruction Algorithms,
ICCV98(895-902).
IEEE DOI Link BibRef

Chojnacki, W.[Wojciech], Brooks, M.J.[Michael J.], van den Hengel, A.J.[Anton J.], Gawley, D.[Darren],
On the Fitting of Surfaces to Data with Covariances,
PAMI(22), No. 11, November 2000, pp. 1294-1303.
IEEE Abstract.
IEEE DOI Link 0012
BibRef
And:
Estimating Vision Parameters given Data with Covariances,
BMVC00(xx-yy).
PDF Version. 0009
Estimate parameters of the model. See also Revisiting Hartley's normalized eight-point algorithm. BibRef

Brooks, M.J.[Michael J.], Chojnacki, W.[Wojciech], Gawley, D.[Darren], van den Hengel, A.J.[Anton J.],
What Value Covariance Information in Estimating Vision Parameters?,
ICCV01(I: 302-308).
IEEE DOI Link 0106
BibRef

Chang, K.Y.[Kui-Yu], Ghosh, J.[Joydeep],
A Unified Model for Probabilistic Principal Surfaces,
PAMI(23), No. 1, January 2001, pp. 22-41.
IEEE Abstract.
IEEE DOI Link 0101
Curve or surface fitting, almost. BibRef

Ahn, S.J.[Sung Joon], Rauh, W.[Wolfgang], Cho, H.S.[Hyung Suck], Warnecke, H.J.[Hans-Jürgen],
Orthogonal Distance Fitting of Implicit Curves and Surfaces,
PAMI(24), No. 5, May 2002, pp. 620-638.
IEEE Abstract.
IEEE DOI Link 0205
Distance-based algorithm. Coordinate-based algorithm. minimize sq sum of orthogonal error distance. BibRef

Ahn, S.J.[Sung Joon],
Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space,
Springer2004. ISBN: 978-3-540-23966-6 BibRef 0400 LNCS3151.
WWW Version. Fitting curves and surfaces. From thesis. BibRef

Ahn, S.J., Rauh, W., Westkämper, E.,
Fitting of Parametric Space Curves and Surfaces by Using the Geometric Error Measure,
DAGM02(548 ff.).
HTML Version. 0303
BibRef

Sengupta, K.[Kuntal], Burman, P.[Prabir],
A Curve Fitting Problem and Its Application in Modeling Objects in Monocular Image Sequences,
PAMI(24), No. 5, May 2002, pp. 674-686.
IEEE Abstract.
IEEE DOI Link 0205
Fit a surface to data. BibRef

Bing, C.[Cheng], Ying, W.[Wang], Zheng, N.N.[Nan-Ning], Bian, Z.[Zhengzhong], Zhang, Y.P.[Yong-Ping],
A two-step method for preprocessing volume data,
CVIU(95), No. 2, August 2004, pp. 150-164.
WWW Version. 0409
Create surfaces to use for rendering. Filter noise, then segment by modeling surface as a PDE. BibRef

Dai, M.[Min], Newman, T.S.[Timothy S.], Cao, C.G.[Chun-Guang],
Least-squares-based fitting of paraboloids,
PR(40), No. 2, February 2007, pp. 504-515.
WWW Version. 0611
Surface fitting; Quadric surfaces; Paraboloids; Least-squares BibRef

Faria, L.N.[Lilian N.], Mascarenhas, N.D.A.[Nelson D.A.], Morón, C.E.[Célio E.], Saito, J.H.[José H.], Rosa, R.R.[Reinaldo R.], Sawant, H.S.[Hanumant S.],
A parallel application for 3D reconstruction of coronal loops using image morphing,
IVC(25), No. 1, January 2007, pp. 95-102.
WWW Version. 0611
Coronal loops; 3D Reconstruction; Image processing; Image morphing; Parallel system BibRef

Sahin, T.[Turker], Unel, M.[Mustafa],
Stable Algebraic Surfaces for 3d Object Representation,
JMIV(32), No. 2, October 2008, pp. xx-yy.
Springer DOI Link 0804
BibRef
Earlier:
Fitting Globally Stabilized Algebraic Surfaces to Range Data,
ICCV05(II: 1083-1088).
IEEE DOI Link 0510
BibRef
Earlier:
Globally Stabilized 3L Curve Fitting,
ICIAR04(I: 495-502).
WWW Version. 0409
BibRef
And:
An Adaptive Estimation Method for Rigid Motion Parameters of 2D Curves,
ICIAR04(II: 355-362).
WWW Version. 0409
BibRef

Grimm, C.M.[Cindy M.], Ju, T.[Tao], Phan, L.[Ly], Hughes, J.[John],
Adaptive smooth surface fitting with manifolds,
VC(25), No. 5-7, May 2009, pp. xx-yy.
Springer DOI Link 0905
BibRef


Fujiki, J.[Jun], Akaho, S.[Shotaro],
Hypersurface Fitting via Jacobian Nonlinear PCA on Riemannian Space,
CAIP11(I: 236-243).
Springer DOI Link 1109
BibRef
Earlier:
Curve fitting by Spherical Least Squares on two-dimensional sphere,
Subspace09(250-255).
IEEE DOI Link 0910
BibRef

Fujiki, J.[Jun], Akaho, S.[Shotaro], Hino, H.[Hideitsu], Murata, N.[Noboru],
Robust Hyperplane Fitting Based on k-th Power Deviation and a-Quantile,
CAIP11(I: 278-285).
Springer DOI Link 1109
least median of squares. BibRef

Rouhani, M.[Mohammad], Sappa, A.D.[Angel D.],
Implicit B-spline fitting using the 3L algorithm,
ICIP11(893-896).
IEEE DOI Link 1201
BibRef
Earlier:
A fast accurate implicit polynomial fitting approach,
ICIP10(1429-1432).
IEEE DOI Link 1009
BibRef
And:
Relaxing the 3L algorithm for an accurate implicit polynomial fitting,
CVPR10(3066-3072).
IEEE DOI Link 1006
BibRef
Earlier: A2, A1:
Efficient distance estimation for fitting implicit quadric surfaces,
ICIP09(3521-3524).
IEEE DOI Link 0911
BibRef
And: A1, A2:
A Novel Approach to Geometric Fitting of Implicit Quadrics,
ACIVS09(121-132).
Springer DOI Link 0909
BibRef

Yang, Y.J.[Yi-Jun], Yong, J.H.[Jun-Hai], Zhang, H.[Hui], Paul, J.C.[Jean-Claude], Sun, J.[Jiaguang],
Optimal Parameterizations of Bézier Surfaces,
ISVC06(I: 672-681).
Springer DOI Link 0611
BibRef

Cheng, D.C.[Da-Chuan], Jiang, X.Y.[Xiao-Yi],
Object Modeling with Guaranteed Fulfillment of Geometric Constraints,
3DPVT06(639-646).
IEEE DOI Link 0606
BibRef

Jiang, X.Y.[Xiao-Yi], Cheng, D.C.[Da-Chuan],
A Novel Parameter Decomposition Approach to Faithful Fitting of Quadric Surfaces,
DAGM05(168).
Springer DOI Link 0509
BibRef

Gomes, J., Mojsilovic, A.,
A Variational Approach to Recovering a Manifold from Sample Points,
ECCV02(II: 3 ff.).
HTML Version. 0205
BibRef

Faber, P.[Petko], Fisher, R.B.,
Euclidean Fitting Revisited,
VF01(165 ff.).
HTML Version. BibRef 0100 Edinburgh 0209
BibRef

Faber, P., Fisher, R.B.,
A Buyer's Guide to Euclidean Elliptical Cylindrical and Conical Surface Fitting,
BMVC01(521-530). BibRef 0100 EdinburghUniversity of Edinburgh
HTML Version. 0110
BibRef

Montagnat, J., Delingette, H.,
An Hybrid Framework for Surface Registration and Deformable Models,
CVPR97(1041-1046).
IEEE Abstract.
IEEE DOI Link 9704
BibRef

Varley, A.[Andrew], Rayner, P.[Peter],
Bézier modelling of cracks,
CIAP97(I: 551-558).
WWW Version. 9709
BibRef

Thacker, N.A., Prendergast, D., and Rockett, P.I.,
B-Fitting: An Estimation Technique with Automatic Parameter Selection,
BMVC96(Model Fitting, Matching, Recognition). 9608
University of Sheffield BibRef

Liao, W., Aggarwal, J.K.,
Curve and Surface Interpolation Using Rational Radial Basis Functions,
ICPR96(IV: 8-13).
IEEE DOI Link 9608
(Univ. of Texas, Austin, USA) BibRef

Fletcher, G.J., Giblin, P.J.,
Class Based Reconstruction Techniques using Singular Apparent Contours,
ECCV96(I:107-116).
Springer DOI Link Golbal reconstruction of special case surfaces. BibRef 9600

Xie, M.[Ming],
On 3D reconstruction strategy: a case of conics,
ICPR94(A:665-667).
IEEE DOI Link 9410
BibRef

Chia, T.L.[Tsorng-Lin], Chen, Z.[Zen],
A vision method for computing 3-D location and shape parameters of a cone,
ICPR94(A:671-673).
IEEE DOI Link 9410
BibRef

Fitzgibbon, A.W.[Andrew W.], Fisher, R.B.[Robert B.],
Lack-of-fit detection using the run-distribution test,
ECCV94(B:173-178).
Springer DOI Link 9405
BibRef

Fitzgibbon, A.W.[Andrew W.], Fisher, R.B.[Robert B.],
Invariant Fitting of Arbitrary Single-Extremum Surfaces,
BMVC93(569-578).
PDF Version. BibRef 9300 Edinburghsurface fitting in range data
Postscript Version. (Edinburgh Univ); BibRef

Harris, J.G.,
A New Approach to Surface Reconstruction: The Coupled Depth/Slope Model,
ICCV87(277-283). BibRef 8700

Harris, J.G.[John G.],
The Coupled Depth/Slope Approach to Surface Reconstruction,
MIT AI-TR-908, June 1986.
WWW Version. BibRef 8606

Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
Reconstruction, Hierarchical, Multi-Grid Approaches .


Last update:Feb 8, 2012 at 11:25:05