11.1.1 Geometric Models

Chapter Contents (Back)
Geometric Models. 2607

See also Three Dimensional Geometry and Topology, Computational Geometry.
See also Aspect Graph Matching, Characteristic Views.
See also Model Based Recognition Systems.

Clarke, J.H.,
Hierarchical Geometric Models for Visible Surface Algorithms,
CACM(19), No. 10, October 1976, pp. 547-554. BibRef 7610

Baumgart, B.G.[Bruce Guenther],
Geometric Modeling for Computer Vision,
Ph.D.Thesis (CS), 1974. BibRef 7400 Stanford AIMemo 249, October 1974 and BibRef STAN-CS-74-463. The continuation of Grape's work on representation and the use of projections for the description process. This work seems to have no paper from it. BibRef

Baumgart, B.G.[Bruce Guenther],
GEOMED: A Geometric Editor,
Stanford AIMemo 232, May 1974. BibRef 7405

Kemper, A., and Wallrath, M.,
An Analysis of Geometric Modeling in Database Systems,
Surveys(19), No. 1, March 1987, pp. 47-91. Survey, Representation. BibRef 8703

Aouada, D.[Djamila], Krim, H.[Hamid],
Squigraphs for Fine and Compact Modeling of 3-D Shapes,
IP(19), No. 2, February 2010, pp. 306-321.
IEEE DOI 1002
BibRef

Aouada, D.[Djamila], Krim, H.[Hamid],
Meaningful 3D shape partitioning using Morse functions,
ICIP09(417-420).
IEEE DOI 0911
BibRef

Aouada, D.[Djamila], Dreisigmeyer, D.W.[David W.], Krim, H.[Hamid],
Geometric modeling of rigid and non-rigid 3D shapes using the global geodesic function,
NORDIA08(1-8).
IEEE DOI 0806
BibRef

Xiao, G.B.[Guo-Bao], Wang, H.Z.[Han-Zi], Lai, T.T.[Tao-Tao], Suter, D.[David],
Hypergraph modelling for geometric model fitting,
PR(60), No. 1, 2016, pp. 748-760.
Elsevier DOI 1609
Hypergraph modelling BibRef

Xiao, G.B.[Guo-Bao], Wang, H.Z.[Han-Zi], Ma, J.Y.[Jia-Yi], Suter, D.[David],
Segmentation by Continuous Latent Semantic Analysis for Multi-Structure Model Fitting,
IJCV(129), No. 7, July 2021, pp. 2034-2056. 2106
BibRef

Xiao, G.B.[Guo-Bao], Wang, H.Z.[Han-Zi], Yan, Y.[Yan], Zhang, L.M.[Li-Ming],
Mode seeking on graphs for geometric model fitting via preference analysis,
PRL(83, Part 3), No. 1, 2016, pp. 294-302.
Elsevier DOI 1609
Mode seeking BibRef

Wang, X.[Xing], Xiao, G.B.[Guo-Bao], Yan, Y.[Yan], Wang, H.Z.[Han-Zi],
Message Passing on the Two-Layer Network for Geometric Model Fitting,
ACCV16(I: 54-69).
Springer DOI 1704
BibRef

Wang, H.Z.[Han-Zi], Xiao, G.B.[Guo-Bao], Yan, Y.[Yan], Suter, D.[David],
Searching for Representative Modes on Hypergraphs for Robust Geometric Model Fitting,
PAMI(41), No. 3, March 2019, pp. 697-711.
IEEE DOI 1902
Data models, Computational modeling, Robustness, Fitting, Computational complexity, Analytical models, multi-structure data BibRef

Xiao, G.B.[Guo-Bao], Wang, H.Z.[Han-Zi], Yan, Y.[Yan], Suter, D.[David],
Superpixel-Guided Two-View Deterministic Geometric Model Fitting,
IJCV(127), No. 4, April 2019, pp. 323-339.
Springer DOI 1903
BibRef
Earlier:
Superpixel-Based Two-View Deterministic Fitting for Multiple-Structure Data,
ECCV16(VI: 517-533).
Springer DOI 1611
BibRef
Earlier: A2, A1, A3, A4:
Mode-Seeking on Hypergraphs for Robust Geometric Model Fitting,
ICCV15(2902-2910)
IEEE DOI 1602
Computational modeling BibRef

Pham, T.T.[Trung Thanh], Chin, T.J.[Tat-Jun], Schindler, K., Suter, D.[David],
Interacting Geometric Priors For Robust Multimodel Fitting,
IP(23), No. 10, October 2014, pp. 4601-4610.
IEEE DOI 1410
Complexity theory BibRef

Wong, H.S.[Hoi Sim], Chin, T.J.[Tat-Jun], Yu, J.[Jin], Suter, D.[David],
A simultaneous sample-and-filter strategy for robust multi-structure model fitting,
CVIU(117), No. 12, 2013, pp. 1755-1769.
Elsevier DOI 1310
Robust model fitting BibRef

Pham, T.T.[Trung Thanh], Chin, T.J.[Tat-Jun], Yu, J.[Jin], Suter, D.[David],
The Random Cluster Model for Robust Geometric Fitting,
PAMI(36), No. 8, August 2014, pp. 1658-1671.
IEEE DOI 1407
BibRef
Earlier: CVPR12(710-717).
IEEE DOI 1208
Accuracy BibRef

Wong, H.S.[Hoi Sim], Chin, T.J.[Tat-Jun], Yu, J.[Jin], Suter, D.[David],
Mode seeking over permutations for rapid geometric model fitting,
PR(46), No. 1, January 2013, pp. 257-271.
Elsevier DOI 1209
BibRef
Earlier:
Dynamic and hierarchical multi-structure geometric model fitting,
ICCV11(1044-1051).
IEEE DOI 1201
Geometric model fitting; Hypothesis sampling; Multi-structure data; Mode seeking over permutations BibRef

Yu, J.[Jin], Chin, T.J.[Tat-Jun], Suter, D.[David],
A global optimization approach to robust multi-model fitting,
CVPR11(2041-2048).
IEEE DOI 1106
BibRef

Chin, T.J.[Tat-Jun], Wang, H.Z.[Han-Zi], Suter, D.[David],
Robust fitting of multiple structures: The statistical learning approach,
ICCV09(413-420).
IEEE DOI 0909
BibRef

Lim, E.H.[Ee Hui], Suter, D.[David],
Multi-scale Conditional Random Fields for over-segmented irregular 3D point clouds classification,
OTCBVS08(1-7).
IEEE DOI 0806
BibRef

Tennakoon, R.B., Bab-Hadiashar, A., Cao, Z.W.[Zhen-Wei], Hoseinnezhad, R., Suter, D.,
Robust Model Fitting Using Higher Than Minimal Subset Sampling,
PAMI(38), No. 2, February 2016, pp. 350-362.
IEEE DOI 1601
BibRef
Earlier: A1, A2, A5, A3, Only:
Robust Data Modelling Using Thin Plate Splines,
DICTA13(1-8)
IEEE DOI 1402
Analytical models. BibRef

Tennakoon, R.B., Sadri, A., Hoseinnezhad, R., Bab-Hadiashar, A.,
Effective Sampling: Fast Segmentation Using Robust Geometric Model Fitting,
IP(27), No. 9, September 2018, pp. 4182-4194.
IEEE DOI 1807
approximation theory, graph theory, greedy algorithms, image segmentation, pattern clustering, spectral clustering BibRef

Li, J.Y.[Jia-Yuan], Hu, Q.W.[Qing-Wu], Ai, M.Y.[Ming-Yao],
Robust Geometric Model Estimation Based on Scaled Welsch q-Norm,
GeoRS(58), No. 8, August 2020, pp. 5908-5921.
IEEE DOI 2007
Robustness, Estimation, Remote sensing, Optimization, Standards, Convex functions, Sensitivity, Image orientation, model fitting, robust feature matching (RFM) BibRef

Fan, A.X.[Ao-Xiang], Ma, J.Y.[Jia-Yi], Jiang, X.Y.[Xing-Yu], Ling, H.B.[Hai-Bin],
Efficient Deterministic Search With Robust Loss Functions for Geometric Model Fitting,
PAMI(44), No. 11, November 2022, pp. 8212-8229.
IEEE DOI 2210
Estimation, Computational modeling, Benchmark testing, Search problems, Approximation algorithms, Analytical models, image matching BibRef

Xiao, G.[Guobao], Yu, J.[Jun], Ma, J.Y.[Jia-Yi], Fan, D.P.[Deng-Ping], Shao, L.[Ling],
Latent Semantic Consensus for Deterministic Geometric Model Fitting,
PAMI(46), No. 9, September 2024, pp. 6139-6153.
IEEE DOI 2408
Data models, Semantics, Analytical models, Computational modeling, Geometric modeling, Task analysis, Solid modeling, Model fitting, multiple-structure data BibRef


Barath, D.[Daniel], Rozumnyi, D.[Denys], Eichhardt, I.[Ivan], Hajder, L.[Levente], Matas, J.G.[Jirí G.],
Finding Geometric Models by Clustering in the Consensus Space,
CVPR23(5414-5424)
IEEE DOI 2309
BibRef

Doan, A.D.[Anh-Dzung], Sasdelli, M.[Michele], Suter, D.[David], Chin, T.J.[Tat-Jun],
A Hybrid Quantum-Classical Algorithm for Robust Fitting,
CVPR22(417-427)
IEEE DOI 2210
Annealing, Codes, Heuristic algorithms, Computational modeling, Fitting, Geometric modeling, Optimization methods BibRef

Rombach, R.[Robin], Esser, P.[Patrick], Ommer, B.[Björn],
Geometry-Free View Synthesis: Transformers and no 3D Priors,
ICCV21(14336-14346)
IEEE DOI 2203
Solid modeling, Visualization, Geometric modeling, Transformers, Image and video synthesis, Neural generative models BibRef

Zhao, X., Zhang, Y., Luo, B.,
Energy Minimization Based Alternate Sampling and Clustering for Geometric Model Fitting,
ICIP19(1570-1574)
IEEE DOI 1910
multi-model fitting, localized window sampling, energy minimization, alternate sampling and clustering BibRef

Tiwari, L.[Lokender], Anand, S.[Saket],
DGSAC: Density Guided Sampling and Consensus,
WACV18(974-982)
IEEE DOI 1806
computational geometry, image reconstruction, image segmentation, matrix algebra, DGSAC, Robustness BibRef

Tiwari, L.[Lokender], Anand, S.[Saket], Mittal, S.[Sushil],
Robust Multi-Model Fitting Using Density and Preference Analysis,
ACCV16(IV: 308-323).
Springer DOI 1704
BibRef

Tiwari, L.[Lokender], Anand, S.[Saket],
Fast hypothesis filtering for multi-structure geometric model fitting,
ICIP16(3728-3732)
IEEE DOI 1610
Clustering algorithms BibRef

Zhou, X.[Xiong], Wang, H.Z.[Han-Zi], Xiao, G.B.[Guo-Bao], Wang, X.[Xing], Yan, Y.[Yan], Zhang, L.M.[Li-Ming],
Weighted median-shift on graphs for geometric model fitting,
ICIP17(555-559)
IEEE DOI 1803
Adaptation models, Computational modeling, Data models, Estimation, Kernel, Standards, Weight measurement, geometric model fitting, weighted median-shift BibRef

Wang, Y., Funakubo, N.,
Detection of Geometric Shapes by the Combination of Genetic Algorithm and Subpixel Accuracy,
ICPR96(IV: 535-539).
IEEE DOI 9608
(Tokyo Metropolitan Institute, J) BibRef

Woodford, O.J.[Oliver J.], Pham, M.T.[Minh-Tri], Maki, A.[Atsuto], Gherardi, R.[Riccardo], Perbet, F.[Frank], Stenger, B.[Björn],
Contraction Moves for Geometric Model Fitting,
ECCV12(VII: 181-194).
Springer DOI 1210
generalizes alpha-expansion graph cuts for multi-label energy minimization problems BibRef

Xu, G.L.[Guo-Liang],
Finite Element Methods for Geometric Modeling and Processing Using General Fourth Order Geometric Flows,
GMP08(xx-yy).
Springer DOI 0804
BibRef

Schneider, D.[Danilo],
Calibration of a Riegl LMS-Z420i based on a multi-station adjustment and a geometric model with additional parameters,
Laser09(177). 0909
BibRef

Endo, M.[Masaaki], Matsushita, T., Fitkuda, K., Kawanaka, A.,
Arbitrary viewpoints image representation based on 3-d geometric model and specular reflection tracing,
ICIP04(V: 2989-2992).
IEEE DOI 0505
BibRef

Hanson, K.M.[Kenneth M.], Cunningham, G.S.[Gregory S.], McKee, R.J.[Robert J.],
Uncertainties in Bayesian geometric models,
ICIP99(II:41-45).
IEEE DOI BibRef 9900

Doi, J.[Junta], and Miyake, T.[Tetsuo],
Three-Dimensional Tuft Behavior Analysis Using Successive Geometric Modeling,
SCIA97(xx-yy)
HTML Version. 9705
BibRef

Park, I.K.[In Kyu], and Lee, S.U.,
Geometric Modeling from Scattered 3-D Range Data,
ICIP97(II: 712-715).
IEEE DOI BibRef 9700

Naeve, A., and Eklundh, J.O.,
Generalized Cylinders: What Are They?,
AVFP94 BibRef 9400
And: ISRN KTH/NA/P-94/15-SE. BibRef

Naeve, A., and Eklundh, J.O.,
On Projective Geometry and the Recovery of 3-D Structure,
ICCV87(128-135). BibRef 8700
And: TRITA-NA-8608, December 1986. BibRef

Naeve, A.,
Geometric Modelling: A Projective Approach,
ISRN KTH/NA/P--89/18--SE, 1989. BibRef 8900

Naeve, A.,
Projective Line Geometry of the Visual Operator,
TRITA-NA-8606, December 1986. BibRef 8612

Chapter on 3-D Object Description and Computation Techniques, Surfaces, Deformable, View Generation, Video Conferencing continues in
Digital Twins .


Last update:Jul 18, 2026 at 15:29:28