11.2.3 Curvature and Features of Surfaces and Range Data

Chapter Contents (Back)
Curvature, Surfaces. Descriptions, Surface Curvature. Curvature Analysis. Segmentation, 3-D Data. Segmentation, Range. See also Features of Surfaces and Range Data, Ridges, Edges. See also DEM, Surface Analysis for Ridges and Streams, Rivers, Drainage, Depressions.

Klucewicz, I.M.,
A Piecewise C^1 Interpolant to Arbitrarily Spaced Data,
CGIP(8), No. 1, August 1978, pp. 92-112. BibRef 7808

Reilly, R.C.,
Mean Curvature, the Laplacian, and Soap Bubbles,
AMM(89), 1982, pp. 180-188, 197-198. BibRef 8200

Peet, F.G., and Sahota, T.S.,
Surface Curvature as a Measure of Image Texture,
PAMI(7), No. 6, November 1985, pp. 734-738. BibRef 8511

Yuille, A.L.,
Zero Crossings on Lines of Curvature,
CVGIP(45), No. 1, January 1989, pp. 68-87.
WWW Link. Zero crossings occur near the extrema of the curvature along the principal directions of curvature. See also Scaling Theorems for Zero-Crossings. BibRef 8901

Yuille, A.L., and Leyton, M.,
3D Symmetry-Curvature Duality Theorems,
CVGIP(52), No. 1, October 1990, pp. 124-140.
WWW Link. BibRef 9010
Earlier: (Spelling of second: Leighton??), ICCV87(721-726). It seems to say that given a surface, for each maximum or minimum of the principle curvature along a line of curvature, there is a symmetry axis terminating at this point. This would seem to aid shape from contour also. It was generalized from a 2D case by the second author. See also Symmetry-Curvature Duality. BibRef

Stockely, E.M., and Wu, S.Y.,
Surface Parameterization and Curvature Measurement of Arbitrary 3-D Objects: Five Practical Methods,
PAMI(14), No. 8, August 1992, pp. 833-840.
IEEE DOI BibRef 9208

Hilton, A.D.M., Illingworth, J., Windeatt, T.,
Statistics of Surface Curvature Estimates,
PR(28), No. 8, August 1995, pp. 1201-1221. BibRef 9508
Earlier:
WWW Link. ICPR94(A:37-41).
IEEE DOI variance of curvature and image noise. BibRef

Monga, O.[Olivier], Ayache, N.J.[Nicholas J.], Sander, P.T.[Peter T.],
From Voxel to Intrinsic Surface Features,
IVC(10), No. 6, July-August 1992, pp. 403-415.
WWW Link. BibRef 9207
Earlier:
From Voxel to Curvature Features,
VF91(399-407). BibRef
And:
From Voxel to Curvature,
CVPR91(644-649).
IEEE DOI BibRef
And: SPIE(1570), 1991, pp. 382-390. BibRef

Stoddart, A.J., Illingworth, J., Windeatt, T.,
Optimal Parameter Selection for Derivative Estimation from Range Images,
IVC(13), No. 8, October 1995, pp. 629-635.
WWW Link. BibRef 9510
Earlier: BMVC94(165-174).
PDF File. estimate of the error in curvature. BibRef

Taubin, G.[Gabriel],
Estimation of Planar Curves, Surfaces, and Nonplanar Space Curves Defined by Implicit Equations with Applications to Edge and Range Image Segmentation,
PAMI(13), No. 11, November 1991, pp. 1115-1138.
IEEE DOI BibRef 9111
Earlier:
Nonplanar Curve and Surface Estimation in 3-Space,
CRA88(644-645). Fit (eigenvector) to the data (applicable to any dimension). A large number of relevant references. BibRef

Taubin, G.[Gabriel],
Smooth Signed Distance Surface Reconstruction and Applications,
CIARP12(38-45).
Springer DOI 1209
BibRef

Taubin, G.[Gabriel],
Curve and Surface Smoothing Without Shrinkage,
ICCV95(852-857).
IEEE DOI N-dimensional smoothing that roughly retains the original size. BibRef 9500

Taubin, G.[Gabriel],
Estimating the Tensor of Curvature of a Surface from a Polyhedral Approximation,
ICCV95(902-907).
IEEE DOI Estimating the curvature when starting with a polygonal representaton. BibRef 9500

Taubin, G.[Gabriel],
Discrete Surface Signal Processing: The Polygon as the Surface Element,
ORCV94(167-175).
Springer DOI 9412
BibRef

Trucco, E., Fisher, R.B.,
Experiments in Curvature-Based Segmentation of Range Data,
PAMI(17), No. 2, February 1995, pp. 177-182.
IEEE DOI BibRef 9502 Edinburgh BibRef
Earlier:
Computing Surface-Based Representations from Range Images,
SIC92(275-280). BibRef EdinburghSee the comparison: See also Experimental Comparison of Range Image Segmentation Algorithms, An. BibRef

Cantzler, H., Fisher, R.B.,
Comparison of HK and SC curvature description methods,
3DIM01(285-291).
IEEE DOI BibRef 0100 Edinburgh BibRef

Farin, G.[Gerald],
A Construction for Visual C1 Continuity of Polynomial Surface Patches,
CGIP(20), No. 3, November 1982, pp. 272-282.
WWW Link. Tangent plane continuity between adjacent patches. BibRef 8211

Soucy, G., Ferrie, F.P.,
Surface Recovery from Range Images Using Curvature and Motion Consistency,
CVIU(65), No. 1, January 1997, pp. 1-18.
DOI Link 9702
BibRef
Earlier:
Motion and Surface Recovery Using Curvature and Motion Consistency,
ECCV92(222-226).
Springer DOI BibRef

Soucy, G.,
View Correspondence Using Curvature and Motion Consistency,
MastersThesis, McGill, 1992. BibRef 9200

Theisel, H., Farin, G.,
The Curvature of Characteristic Curves on Surfaces,
IEEE_CGA(17), No. 6, November/December 1997, pp. 88-96. 9710
BibRef

Chaudhury, S.[Santanu], Roy, A.[Anjana], Dey, L.[Lipika],
A MIMD algorithm for constant curvature feature extraction using curvature based data partitioning,
PRL(20), No. 6. June 1999, pp. 573-583. BibRef 9906

Okatani, T.[Takayuki], Deguchi, K.[Koichiro],
Computation of the Sign of the Gaussian Curvature of a Surface from Multiple Unknown Illumination Images without Knowledge of the Reflectance Property,
CVIU(76), No. 2, November 1999, pp. 125-134.
DOI Link 9911
BibRef

López, A.M.[Antonio M.], Lloret, D.[David], Serrat, J.[Joan], Villanueva, J.J.[Juan J.],
Multilocal Creaseness Based on the Level-Set Extrinsic Curvature,
CVIU(77), No. 2, February 2000, pp. 111-144.
DOI Link 0003
BibRef

López, A.M.[Antonio M.], Lumbreras, F.[Felipe], Serrat, J.[Joan],
Creaseness from Level Set Extrinsic Curvature,
ECCV98(II: 156).
Springer DOI BibRef 9800

Henshaw, P.F.,
Features of Derivative Continuity in Shape,
PRAI(13), No. 8, December 1999, pp. 1181. 0005
Invariants special issue. BibRef

Yuen, P., Mokhtarian, F., Khalili, N., Illingworth, J.,
Curvature and torsion feature extraction from free-form 3-D meshes at multiple scales,
VISP(147), No. 5, October 2000, pp. 454-462. 0101
BibRef

Mokhtarian, F.[Farzin], Khalili, N.[Nasser], Yuen, P.[Peter],
Curvature Computation on Free-Form 3-D Meshes at Multiple Scales,
CVIU(83), No. 2, August 2001, pp. 118-139.
DOI Link 0109
BibRef
Earlier: A3, A2, A1:
Curvature Estimation on Smoothed 3-D Meshes,
BMVC99(Posters/Demos).
PDF File. Curvature on a smoothed 3-D surface. Iterative convolve local parameterization of the survace with 2-D Gaussians. Should be more computationally effective than 3-D convolutions. See also Multi-scale free-form 3D object recognition using 3D models. BibRef

Khalili, N.[Nasser], Mokhtarian, F.[Farzin], Yuen, P.[Peter],
Free-Form Surface Description in Multiple Scales: Extension to Incomplete Surfaces,
CAIP99(293-300).
Springer DOI 9909
BibRef

Mokhtarian, F.[Farzin], Khalili, N.[Nasser], Yuen, P.[Peter],
Estimation of Error in Curvature Computation on Multi-Scale Free-Form Surfaces,
IJCV(48), No. 2, July 2002, pp. 131-149.
DOI Link 0206
BibRef
Earlier:
Multi-Scale 3-d Free-Form Surface Smoothing,
BMVC98(xx-yy). See also Multi-scale free-form 3D object recognition using 3D models. BibRef

van de Weijer, J.[Joost], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.], van Ginkel, M.[Michael],
Curvature Estimation in Oriented Patterns Using Curvilinear Models Applied to Gradient Vector Fields,
PAMI(23), No. 9, September 2001, pp. 1035-1042.
IEEE DOI 0110
BibRef
Earlier: A4, A1, A2, A3:
Curvature Estimation from Orientation Fields,
SCIA99(Image Analysis). Curved oriented patterns. Address the problem of ridges and valleys. BibRef

van Ginkel, M., Verbeek, P.W., and van Vliet, L.J.,
Improved Orientation Selectivity for Orientation Estimation,
SCIA97(xx-yy)
HTML Version. 9705
BibRef

Bakker, P.[Peter], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
Confidence and Curvature Estimation of Curvilinear Structures in 3-D,
ICCV01(II: 139-144).
IEEE DOI 0106
BibRef

Verbeek, P.W.[Piet W.], van Vliet, L.J.[Lucas J.], van de Weijer, J.[Joost],
Improved Curvature and Anisotropy Estimation for Curved Line Bundles,
ICPR98(Vol I: 528-533).
IEEE DOI 9808
BibRef

Chan, W.[Woei], Coghill, G.[George], Sivaswamy, J.[Jayanthi],
A simple mechanism for curvature detection,
PRL(22), No. 6-7, May 2001, pp. 731-739.
Elsevier DOI 0105
BibRef

Elber, G.[Gershon],
Curve Evaluation and Interrogation on Surfaces,
GM(63), No. 3, May 2001, pp. 197-210.
DOI Link Compute characteristic curves on surfaces. 0111
BibRef

Subag, J.[Jacob], Elber, G.[Gershon],
Piecewise Developable Surface Approximation of General NURBS Surfaces, with Global Error Bounds,
GMP06(143-156).
Springer DOI 0607
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.],
Curvature of n-dimensional space curves in grey-value images,
IP(11), No. 7, July 2002, pp. 738-745.
IEEE DOI 0207
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.],
A systematic approach to nD orientation representation,
IVC(22), No. 6, 1 June 2004, pp. 453-459.
WWW Link. 0403
BibRef
Earlier:
Representing Orientation in n-Dimensional Spaces,
CAIP03(17-24).
Springer DOI 0311
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
Continuous Orientation Representation for Arbitrary Dimensions: A Generalized Knutsson Mapping,
SCIA11(774-783).
Springer DOI 1105
BibRef

Rieger, B.[Bernd], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
Estimation of Curvature Based Shape Properties of Surfaces in 3D Grey-Value Images,
SCIA03(262-267).
Springer DOI 0310
BibRef

Rieger, B.[Bernd], Timmermans, F.J.[Frederik J.], van Vliet, L.J.[Lucas J.], Verbeek, P.W.[Piet W.],
On Curvature Estimation of ISO Surfaces in 3D Gray-Value Images and the Computation of Shape Descriptors,
PAMI(26), No. 8, August 2004, pp. 1088-1094.
IEEE Abstract. 0407
BibRef
Earlier:
Curvature estimation of surfaces in 3d grey-value images,
ICPR02(I: 684-687).
IEEE DOI 0211
Operate on orientation field from the gradient structure tensoe. BibRef

Hameiri, E., Shimshoni, I.,
Estimating the Principal Curvatures and the Darboux Frame from Real 3-D Range Data,
SMC-B(33), No. 4, August 2003, pp. 626-637.
IEEE Abstract. 0308
BibRef
Earlier: 3DPVT02(258-267).
IEEE DOI 0206
BibRef
And:
Using principal curvatures and Darboux frame to recover 3D geometric primitives from range images,
3DPVT02(656-663).
IEEE DOI 0206
BibRef

Tal, A.[Ayellet],
3D Shape Analysis for Archaeology,
3DHeritage14(50-63).
Springer DOI 1410
BibRef

Kolomenkin, M.[Michael], Shimshoni, I.[Ilan], Tal, A.[Ayellet],
Multi-scale Curve Detection on Surfaces,
CVPR13(225-232)
IEEE DOI 1309
BibRef
Earlier:
On edge detection on surfaces,
CVPR09(2767-2774).
IEEE DOI 0906
3D; Curves; Multiscale BibRef

Lavva, I., Hameiri, E., Shimshoni, I.,
Robust Methods for Geometric Primitive Recovery and Estimation From Range Images,
SMC-B(37), No. 3, June 2007, pp. 826-845.
IEEE DOI 0711
BibRef

Page, D.L., Sun, Y., Koschan, A.F., Paik, J.K., Abidi, M.A.,
Normal Vector Voting: Crease Detection and Curvature Estimation on Large, Noisy Meshes,
GM(64), No. 3-4, May 2002, pp. 199-229.
WWW Link. 0309
BibRef
Earlier: A1, A3, A2, A4, A5:
Robust Crease Detection and Curvature Estimation of Piecewise Smooth Surfaces from Triangle Mesh Approximations Using Normal Voting,
CVPR01(I:162-167).
IEEE DOI 0110
Curvature computations on a triangular mesh. BibRef

Sun, Y., Page, D.L., Paik, J.K., Koschan, A.F.[Andreas F.], Abidi, M.A.[Mongi A.],
Triangle mesh-based edge detection and its application to surface segmentation and adaptive surface smoothing,
ICIP02(III: 825-828).
IEEE DOI 0210
BibRef
And:
Triangle mesh-based surface modeling using adaptive smoothing and implicit surface texture integration,
3DPVT02(588-597).
IEEE DOI 0206
BibRef

Quek, F.K.H., Yarger, R.W.I., Kirbas, C.,
Surface parameterization in volumetric images for curvature-based feature classification,
SMC-B(33), No. 5, October 2003, pp. 758-765.
IEEE Abstract. 0310
BibRef

Kuijper, A.[Arjan],
On detecting all saddle points in 2D images,
PRL(25), No. 15, November 2004, pp. 1665-1672.
WWW Link. 0411
Saddle points and extrema. BibRef

Kuijper, A.[Arjan],
Exploring and exploiting the structure of saddle points in Gaussian scale space,
CVIU(112), No. 3, December 2008, pp. 337-349.
WWW Link. 0811
Multi-resolution processing; Scale space; Deep structure; Pre-segmentation BibRef

Wang, S.J.[Sheng-Jyh], Kuo, L.C.[Lun-Chia], Jong, H.H.[Hsin-Haw], Wu, Z.H.[Zong-Han],
Representing images using points on image surfaces,
IP(14), No. 8, August 2005, pp. 1043-1056.
IEEE DOI 0508
High curvature points on image surface. BibRef

Magid, E.[Evgeni], Soldea, O.[Octavian], Rivlin, E.[Ehud],
A comparison of Gaussian and mean curvature estimation methods on triangular meshes of range image data,
CVIU(107), No. 3, September 2007, pp. 139-159.
WWW Link. 0709
Geometric modeling; Principal curvatures; Gaussian curvature; Mean curvature; Polygonal mesh; Triangular mesh; Range data BibRef

Morvan, J.M.[Jean-Marie],
Generalized Curvatures,
Springer2008, ISBN: 978-3-540-73791-9
WWW Link. Survey, Curvature. Buy this book: Generalized Curvatures (Geometry and Computing) BibRef 0800

He, B.S.[Bing-Sheng], Yuan, X.M.[Xiao-Ming],
Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective,
SIIMS(5), No. 1 2012, pp. 119.
DOI Link 1202
BibRef

Tombari, F.[Federico], Salti, S.[Samuele], di Stefano, L.[Luigi],
Performance Evaluation of 3D Keypoint Detectors,
IJCV(102), No. 1-3, March 2013, pp. 198-220.
WWW Link. 1303
distinctive keypoints on 3D surfaces BibRef

Salti, S.[Samuele], Tombari, F.[Federico], di Stefano, L.[Luigi],
SHOT: Unique signatures of histograms for surface and texture description,
CVIU(125), No. 1, 2014, pp. 251-264.
Elsevier DOI 1406
BibRef
Earlier: A2, A1, A3:
A combined texture-shape descriptor for enhanced 3D feature matching,
ICIP11(809-812).
IEEE DOI 1201
BibRef
Earlier: A2, A1, A3:
Unique shape context for 3d data description,
3DOR10(57-62).
DOI Link 1111
BibRef
And: A2, A1, A3:
Unique Signatures of Histograms for Local Surface Description,
ECCV10(III: 356-369).
Springer DOI 1009
Surface matching BibRef

Salti, S.[Samuele], Tombari, F.[Federico], Spezialetti, R.[Riccardo], di Stefano, L.[Luigi],
Learning a Descriptor-Specific 3D Keypoint Detector,
ICCV15(2318-2326)
IEEE DOI 1602
Computer vision BibRef

Tombari, F.[Federico], di Stefano, L.[Luigi],
3D Data Segmentation by Local Classification and Markov Random Fields,
3DIMPVT11(212-219).
IEEE DOI 1109
BibRef

Salti, S.[Samuele], Petrelli, A.[Alioscia], Tombari, F.[Federico], di Stefano, L.[Luigi],
On the Affinity between 3D Detectors and Descriptors,
3DIMPVT12(424-431).
IEEE DOI 1212
BibRef

Salti, S.[Samuele], Tombari, F.[Federico], di Stefano, L.[Luigi],
A Performance Evaluation of 3D Keypoint Detectors,
3DIMPVT11(236-243).
IEEE DOI 1109
BibRef
Earlier:
On the Use of Implicit Shape Models for Recognition of Object Categories in 3D Data,
ACCV10(III: 653-666).
Springer DOI 1011
BibRef

Tombari, F.[Federico], Franchi, A.[Alessandro], di Stefano, L.[Luigi],
BOLD Features to Detect Texture-less Objects,
ICCV13(1265-1272)
IEEE DOI 1403
descriptors BibRef

Cavallari, T.[Tommaso], di Stefano, L.[Luigi],
Volume-Based Semantic Labeling with Signed Distance Functions,
PSIVT15(544-556).
Springer DOI 1602
BibRef

Truong, H.Q.[Hung Quoc], Hmida, H.B.[Helmi Ben], Boochs, F.[Frank], Habed, A.[Adlane], Cruz, C.[Christophe], Voisin, Y.[Yvon], Nicolle, C.[Christophe],
Automatic Detection and Classification of Objects in Point Clouds using multi-stage Semantics,
PFG(2013), No. 3, 2013, pp. 221-237.
DOI Link 1306
BibRef

Yang, B.[Bisheng], Dong, Z.[Zhen],
A shape-based segmentation method for mobile laser scanning point clouds,
PandRS(81), No. 1, July 2013, pp. 19-30.
Elsevier DOI 1306
Point classification; Object segmentation; Mobile laser scanning; Object extraction BibRef

Ammari, H., Bretin, E., Garnier, J., Jing, W., Kang, H., Wahab, A.,
Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity,
SIIMS(6), No. 4, 2013, pp. 2174-2212.
DOI Link 1402
analysis of the topological derivative based detection algorithms BibRef

Lin, C.H.[Chao-Hung], Chen, J.Y.[Jyun-Yuan], Su, P.L.[Po-Lin], Chen, C.H.[Chung-Hao],
Eigen-feature analysis of weighted covariance matrices for LiDAR point cloud classification,
PandRS(94), No. 1, 2014, pp. 70-79.
Elsevier DOI 1407
Point cloud classification. linear, planar, or spherical. BibRef

Coeurjolly, D.[David], Lachaud, J.O.[Jacques-Olivier], Levallois, J.[Jérémy],
Multigrid convergent principal curvature estimators in digital geometry,
CVIU(129), No. 1, 2014, pp. 27-41.
Elsevier DOI 1411
BibRef
Earlier: A2, A3, A1:
Parameter-Free and Multigrid Convergent Digital Curvature Estimators,
DGCI14(162-175).
Springer DOI 1410
BibRef
Earlier: A1, A2, A3:
Integral Based Curvature Estimators in Digital Geometry,
DGCI13(215-227).
Springer DOI 1304
Digital geometry BibRef

Thielhelm, H.[Hannes], Vais, A.[Alexander], Wolter, F.E.[Franz-Erich],
Geodesic bifurcation on smooth surfaces,
VC(31), No. 2, February 2015, pp. 187-204.
Springer DOI 1503
BibRef

Nouri, A.[Anass], Charrier, C.[Christophe], Lézoray, O.[Olivier],
Multi-scale mesh saliency with local adaptive patches for viewpoint selection,
SP:IC(38), No. 1, 2015, pp. 151-166.
Elsevier DOI 1512
BibRef
And:
Multi-scale saliency of 3D colored meshes,
ICIP15(2820-2824)
IEEE DOI 1512
Saliency; colored mesh; multi-scale; patch BibRef

Han, Z.Z.[Zhi-Zhong], Liu, Z.B.[Zhen-Bao], Han, J.W.[Jun-Wei], Vong, C.M.[Chi-Man], Bu, S.H.[Shu-Hui], Li, X.L.[Xue-Long],
Unsupervised 3D Local Feature Learning by Circle Convolutional Restricted Boltzmann Machine,
IP(25), No. 11, November 2016, pp. 5331-5344.
IEEE DOI 1610
Local features from 3D shapes. BibRef

Prakhya, S.M.[Sai Manoj], Liu, B.B.[Bing-Bing], Lin, W.S.[Wei-Si],
Detecting keypoint sets on 3D point clouds via Histogram of Normal Orientations,
PRL(83, Part 1), No. 1, 2016, pp. 42-48.
Elsevier DOI 1609
Keypoint detection BibRef

Hackel, T.[Timo], Wegner, J.D.[Jan D.], Schindler, K.[Konrad],
Contour Detection in Unstructured 3D Point Clouds,
CVPR16(1610-1618)
IEEE DOI 1612
BibRef

Yang, J.Q.[Jia-Qi], Zhang, Q.[Qian], Xiao, Y.[Yang], Cao, Z.G.[Zhi-Guo],
TOLDI: An effective and robust approach for 3D local shape description,
PR(65), No. 1, 2017, pp. 175-187.
Elsevier DOI 1702
Local reference frame BibRef

Yang, J.Q.[Jia-Qi], Zhang, Q.[Qian], Xian, K.[Ke], Xiao, Y.[Yang], Cao, Z.G.[Zhi-Guo],
Rotational contour signatures for both real-valued and binary feature representations of 3D local shape,
CVIU(160), No. 1, 2017, pp. 133-147.
Elsevier DOI 1706
BibRef
Earlier:
Rotational contour signatures for robust local surface description,
ICIP16(3598-3602)
IEEE DOI 1610
local surface descriptor called rotational contour signatures. Encoding BibRef

Lachaud, J.O.[Jacques-Olivier], Provençal, X.[Xavier], Roussillon, T.[Tristan],
Two Plane-Probing Algorithms for the Computation of the Normal Vector to a Digital Plane,
JMIV(59), No. 1, September 2017, pp. 23-39.
Springer DOI 1708
BibRef
Earlier:
Computation of the Normal Vector to a Digital Plane by Sampling Significant Points,
DGCI16(194-205).
WWW Link. 1606
BibRef

Lachaud, J.O.[Jacques-Olivier],
Convergent Geometric Estimators with Digital Volume and Surface Integrals,
DGCI16(3-17).
WWW Link. 1606
BibRef

Ciomaga, A.[Adina], Morel, J.M.[Jean-Michel],
A proof of equivalence between level lines shortening and curvature motion in image processing,
MathAnal(45), 2013, pp. 1047=1067.
DOI Link BibRef 1300

Ciomaga, A.[Adina], Monasse, P.[Pascal], Morel, J.M.[Jean-Michel],
The Image Curvature Microscope: Accurate Curvature Computation at Subpixel Resolution,
IPOL(7), 2017, pp. 197-217.
DOI Link 1708
Code, Curvature. BibRef
Earlier:
Level lines shortening yields an image curvature microscope,
ICIP10(4129-4132).
IEEE DOI 1009
BibRef

Han, X.F.[Xian-Feng], Jin, J.S.[Jesse S.], Wang, M.J.[Ming-Jie], Jiang, W.[Wei], Gao, L.[Lei], Xiao, L.P.[Li-Ping],
A review of algorithms for filtering the 3D point cloud,
SP:IC(57), No. 1, 2017, pp. 103-112.
Elsevier DOI 1709
3D point cloud BibRef

Lefloch, D.[Damien], Kluge, M.[Markus], Sarbolandi, H.[Hamed], Weyrich, T.[Tim], Kolb, A.[Andreas],
Comprehensive Use of Curvature for Robust and Accurate Online Surface Reconstruction,
PAMI(39), No. 12, December 2017, pp. 2349-2365.
IEEE DOI 1711
Cameras, Geometry, Image reconstruction, Iterative closest point algorithm, Real-time systems, Surface reconstruction, 3D reconstruction, depth fusion, BibRef


Aldana-Iuit, J., Mishkin, D., Chum, O., Matas, J.,
In the Saddle: Chasing fast and repeatable features,
ICPR16(675-680)
IEEE DOI 1705
Detectors, Dogs, Feature extraction, Image edge detection, Shape, Surface treatment, Three-dimensional, displays BibRef

Takei, S., Akizuki, S., Hashimoto, M.,
SHORT: A fast 3D feature description based on estimating occupancy in spherical shell regions,
ICVNZ15(1-5)
IEEE DOI 1701
cloud computing BibRef

Chen, Z.[Zizui], Czarnuch, S.[Stephen], Smith, A.[Andrew], Shehata, M.[Mohamed],
Performance Evaluation of 3D Keypoints and Descriptors,
ISVC16(II: 410-420).
Springer DOI 1701
BibRef

Yoon, Y.[Youngjin], Choe, G.[Gyeongmin], Kim, N.[Namil], Lee, J.Y.[Joon-Young], Kweon, I.S.[In So],
Fine-Scale Surface Normal Estimation Using a Single NIR Image,
ECCV16(III: 486-500).
Springer DOI 1611
BibRef

Arav, R.[Reuma], Filin, S.[Sagi],
An Energy-based Approach For Detection And Characterization Of Subtle Entities Within Laser Scanning Point-clouds,
ISPRS16(B3: 167-171).
DOI Link 1610
BibRef

Blankenburg, C., Daul, C., Ohser, J.,
Parameter free torsion estimation of curves in 3D images,
ICIP16(1081-1085)
IEEE DOI 1610
Estimation BibRef

Zhao, H., Yuan, D., Zhu, H., Yin, J.,
3-D point cloud normal estimation based on fitting algebraic spheres,
ICIP16(2589-2592)
IEEE DOI 1610
Biomimetics BibRef

Min, L.[Li], Xin, Y.[Yang], Liyang, X.[Xiong],
Point Cloud Oriented Shoulder Line Extraction In Loess Hilly Area,
ISPRS16(B3: 279-282).
DOI Link 1610
BibRef

Feng, Y., Schlichting, A., Brenner, C.,
3d Feature Point Extraction From Lidar Data Using A Neural Network,
ISPRS16(B1: 563-569).
DOI Link 1610
BibRef

Bhalla, G.[Gurman], Bhowmick, P.[Partha],
DIG: Discrete Iso-contour Geodesics for Topological Analysis of Voxelized Objects,
CTIC16(265-276).
Springer DOI 1608
BibRef

Cruz-Bernal, A.[Alejandra], Alamanza-Ojeda, D.L.[Dora-Luz], Ibarra-Manzano, M.A.[Mario-Alberto],
Contour Detection at Range Images Using Sparse Normal Detector,
MCPR16(115-124).
Springer DOI 1608
BibRef

Bazazian, D., Casas, J.R., Ruiz-Hidalgo, J.,
Fast and Robust Edge Extraction in Unorganized Point Clouds,
DICTA15(1-8)
IEEE DOI 1603
covariance matrices BibRef

Hedrich, J.[Jens], Paulus, D.[Dietrich], Genois, F.[Francois], Grzegorzek, M.[Marcin],
Enhanced surface normal computation by exploiting RGB-D sensory information,
MVA15(26-29)
IEEE DOI 1507
Color BibRef

Varney, N.M., Asari, V.K.,
Volumetric features for object region classification in 3D LiDAR point clouds,
AIPR14(1-6)
IEEE DOI 1504
eigenvalues and eigenfunctions BibRef

Hauenstein, J.D.[Jacob D.], Newman, T.S.[Timothy S.],
On Reliable Estimation of Curvatures of Implicit Surfaces,
3DV14(697-704)
IEEE DOI 1503
Accuracy BibRef

Di Martino, J.M.[J. Matias], Fernandez, A.[Alicia], Ferrari, J.A.[Jose A.],
3D curvature analysis with a novel one-shot technique,
ICIP14(3818-3822)
IEEE DOI 1502
Cameras BibRef

Schiopu, I.[Ionut], Tabus, I.[Ioan],
Anchor points coding for depth map compression,
ICIP14(5626-5630)
IEEE DOI 1502
Context BibRef

Holte, M.B.[Michael B.],
3D interest point detection using local surface characteristics with application in action recognition,
ICIP14(5736-5740)
IEEE DOI 1502
Detectors BibRef

Filipe, S.[Sílvio], Alexandre, L.A.[Luís A.],
A Biological Motivated Multi-scale Keypoint Detector for local 3D Descriptors,
ISVC14(I: 218-227).
Springer DOI 1501
BibRef

Fischer, P.[Philipp], Brox, T.[Thomas],
Image Descriptors Based on Curvature Histograms,
GCPR14(239-249).
Springer DOI 1411
BibRef

Rothermel, M., Haala, N., Fritsch, D.,
Generating Oriented Pointsets From Redundant Depth Maps Using Restricted Quadtrees,
PCV14(281-287).
DOI Link 1404
BibRef

Salih, Y., Malik, A.S., Sidibe, D., Simsim, M.T., Saad, N., Meriaudeau, F.,
Compressed VFH descriptor for 3D object classification,
3DTV-CON14(1-4)
IEEE DOI 1409
viewpoint feature histogram descriptor. feature extraction of 3D. BibRef

Ladický, L.[Lubor], Zeisl, B.[Bernhard], Pollefeys, M.[Marc],
Discriminatively Trained Dense Surface Normal Estimation,
ECCV14(V: 468-484).
Springer DOI 1408
BibRef

Najafi, M.[Mohammad], Namin, S.T.[Sarah Taghavi], Salzmann, M.[Mathieu], Petersson, L.[Lars],
Non-associative Higher-Order Markov Networks for Point Cloud Classification,
ECCV14(V: 500-515).
Springer DOI 1408
BibRef

Huang, J.[Jing], You, S.[Suya],
Detecting Objects in Scene Point Cloud: A Combinational Approach,
3DV13(175-182)
IEEE DOI 1311
combinatorial mathematics BibRef

Klein, D.A.[Dominik Alexander], Cremers, A.B.[Armin Bernd],
Discriminable Points That Stick Out of Their Environment,
GCPR13(385-394).
Springer DOI 1311
BibRef

Bürger, F.[Fabian], Pauli, J.[Josef],
Unsupervised Segmentation of Anomalies in Sequential Data, Images and Volumetric Data Using Multiscale Fourier Phase-Only Analysis,
SCIA13(44-53).
Springer DOI 1311
BibRef

Alathari, T.S.[Thamer S.], Nixon, M.S.[Mark S.],
Pressure Based Segmentation in Volumetric Images,
ISVC13(I:238-245).
Springer DOI 1310
Separate coins in 3D (CT) scanner data. Archelogy. BibRef

Fiorio, C.[Christophe], Mercat, C.[Christian], Rieux, F.[Frédéric],
Multigrid Convergent Curvature Estimator,
DGCI13(395-406).
Springer DOI 1304
BibRef

Tang, S.[Shuai], Wang, X.Y.[Xiao-Yu], Lv, X.T.[Xu-Tao], Han, T.X.[Tony X.], Keller, J.[James], He, Z.H.[Zhi-Hai],
Histogram of Oriented Normal Vectors for Object Recognition with a Depth Sensor,
ACCV12(II:525-538).
Springer DOI 1304
BibRef

Petricek, T.[Tomas], Svoboda, T.[Tomas],
Area-weighted surface normals for 3D object recognition,
ICPR12(1492-1496).
WWW Link. 1302
BibRef

Postolski, M.[Michal], Janaszewski, M.[Marcin], Kenmochi, Y.[Yukiko], Lachaud, J.O.[Jacques-Olivier],
Tangent estimation along 3D digital curves,
ICPR12(2079-2082).
WWW Link. 1302
BibRef

Chen, L.[Li], Biswas, S.[Soma],
Digital Curvatures Applied to 3D Object Analysis and Recognition: A Case Study,
IWCIA12(45-58).
Springer DOI 1211
BibRef

Mesmoudi, M.M.[Mohammed Mostefa], de Floriani, L.[Leila], Magillo, P.[Paola],
Concentrated Curvature for Mean Curvature Estimation in Triangulated Surfaces,
CTIC12(79-87).
Springer DOI 1206
BibRef
Earlier:
Discrete Distortion for Surface Meshes,
CIAP09(652-661).
Springer DOI 0909
Curvature computation. BibRef

Jiang, R.R.[Rui-Rui], Gu, X.F.[Xian-Feng],
Multiscale, curvature-based shape representation for surfaces,
ICCV11(1887-1894).
IEEE DOI 1201
generalization of curvature scale space for planar curves. BibRef

Shi, J.[Juan], Wan, M.[Min], Tai, X.C.[Xue-Cheng], Wang, D.S.[De-Sheng],
Curvature Minimization for Surface Reconstruction with Features,
SSVM11(495-507).
Springer DOI 1201
BibRef

Monroy, A.[Antonio], Eigenstetter, A.[Angela], Ommer, B.[Bjorn],
Beyond straight lines: Object detection using curvature,
ICIP11(3561-3564).
IEEE DOI 1201
BibRef

Pratihar, S.[Sanjoy], Bhowmick, P.[Partha],
Shape decomposition using Farey sequence and saddle points,
ICCVGIP10(77-84).
DOI Link 1111
BibRef

Wernersson, E.L.G., Hendriks, C.L.L., Brun, A.,
Accurate Estimation of Gaussian and Mean Curvature in Volumetric Images,
3DIMPVT11(312-317).
IEEE DOI 1109
BibRef

Favreau, J.M.[Jean-Marie], Fayad, J.[Joao], Agapito, L.[Lourdes],
A Global 3D Curvature Estimator Applied to Non-Rigid Shape Reconstruction,
3DPVT10(xx-yy).
WWW Link. 1005
BibRef

Musuvathy, S.[Suraj], Cohen, E.[Elaine],
Extracting Principal Curvature Ridges from B-Spline Surfaces with Deficient Smoothness,
ISVC09(I: 101-110).
Springer DOI 0911
BibRef

Crosilla, F.[Fabio], Visintini, D.[Domenico], Sepic, F.,
Automatic modeling of laser point clouds by statistical analysis of surface curvature values,
3DARCH09(xx-yy).
PDF File. 0902
BibRef

Martínez Morera, D.[Dimas], Velho, L.C.P.R.[Luiz C.P.R.], Carvalho, P.C.P.[Paulo Cezar P.],
Subdivision Curves on Surfaces and Applications,
CIARP08(405-412).
Springer DOI 0809
BibRef

Crosilla, F.[Fabio], Visintini, D.[Domenico], Sepic, F.[Francesco],
A Statistically Proven Automatic Curvature Based Classification Procedure of Laser Points,
ISPRS08(B5: 469 ff).
PDF File. 0807
BibRef

Esbelin, H.A.[Henri-Alex], Malgouyres, R.[Rémy],
Taylor Optimal Kernel for Derivative Etimation,
DGCI14(384-395).
Springer DOI 1410
BibRef
Earlier:
Convergence of Binomial-Based Derivative Estimation for C2 Noisy Discretized Curves,
DGCI09(57-66).
Springer DOI 0909
BibRef

Fourey, S.[Sébastien], Malgouyres, R.[Rémy],
Normals and Curvature Estimation for Digital Surfaces Based on Convolutions,
DGCI08(xx-yy).
Springer DOI 0804
BibRef

Xu, G.L.[Guo-Liang], Zhang, Q.[Qin],
Minimal Mean-Curvature-Variation Surfaces and Their Applications in Surface Modeling,
GMP06(357-370).
Springer DOI 0607
BibRef

Rugis, J.[John], Klette, R.[Reinhard],
A Scale Invariant Surface Curvature Estimator,
PSIVT06(138-147).
Springer DOI 0612
BibRef

Mizoguchi, T.[Tomohiro], Date, H.[Hiroaki], Kanai, S.[Satoshi], Kishinami, T.[Takeshi],
Segmentation of Scanned Mesh into Analytic Surfaces Based on Robust Curvature Estimation and Region Growing,
GMP06(644-654).
Springer DOI 0607
BibRef

Utcke, S.[Sven],
Error-Bounds on Curvature Estimation,
ScaleSpace03(657-666).
Springer DOI 0310
BibRef

Fukui, S.[Shinji], Iwahori, Y.[Yuji], Woodham, R.J.[Robert J.], Iwata, A.[Akira],
Sign of Gaussian Curvature from Eigen Plane Using Principal Components Analysis,
ICPR00(Vol III: 799-802).
IEEE DOI 0009
BibRef

Serrat, J.[Juan], López, A., Lloret, D.,
On Ridges and Valleys,
ICPR00(Vol IV: 59-66).
IEEE DOI 0009
Various applications of ridges and valleys. BibRef

Mota, C., and Gomes, J.,
Curvature Operators in Geometric Image Processing,
SIBGRAPI'99(xx).
PS File. BibRef 9900

Sacchi, R., Poliakoff, J.F., Thomas, P.D., Hafele, K.H.,
Curvature estimation for segmentation of triangulated surfaces,
3DIM99(536-543).
IEEE DOI 9910
BibRef

Donias, M.[Marc], Baylou, P.[Pierre], Keskes, N.,
Curvature of oriented patterns: 2-D and 3-D estimation from differential geometry,
ICIP98(I: 236-240).
IEEE DOI 9810
BibRef

Tanaka, H.T., Lee, D.T.L.,
Representing Surface Curvature Discontinuities on Curved Surfaces,
ICCV90(304-308).
IEEE DOI
WWW Link. BibRef 9000

Shao, Z., Kittler, J.V.,
Estimating Angles and Curvature Features in Grey Scale Images,
BMVC94(115-124).
PDF File. BibRef 9400

Matas, J., Shao, Z., Kittler, J.V.,
Estimation of curvature and tangent direction by median filtered differencing,
CIAP95(83-88).
Springer DOI 9509
BibRef

Chinveeraphan, S.[Supoj], Takamatsu, R.[Ryo], Sato, M.[Makoto],
Understanding of ridge-valley lines on image-intensity surfaces in scale-space,
CAIP95(661-667).
Springer DOI 9509
BibRef

Hlavac, V., Pajdla, T., Sommer, M.,
Improvement of the curvature computation,
ICPR94(A:536-538).
IEEE DOI 9410
BibRef

Legault, R., Suen, C.Y.,
A comparison of methods of extracting curvature features,
ICPR92(III:134-138).
IEEE DOI 9208
BibRef

Eom, K.B., Park, J.,
Contour models for curvature estimation and shape decomposition,
ICPR92(II:393-396).
IEEE DOI 9208
BibRef

Bårman, H., Granlund, G.H.[Gosta H.], Knutsson, H.[Hans],
Estimation of Curvature in 3D Images Using Tensor Field Filtering,
ECCV90(563-565).
Springer DOI 9004
BibRef

Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
Features of Surfaces and Range Data, Ridges, Edges .


Last update:Nov 11, 2017 at 13:31:57