Least Squares Orthogonal Distance Fitting of Curves and Surfaces in Space

Keywords

Computer science, Space (punctuation), Algorithm, Surface fitting, Curve fitting

References

• A 3-D Recognition and Positioning Algorithm Using Geometrical Matching Between Primitive SurfacesOlivier Faugeras, Martial Hebert — 1983
• Approximation by circlesT. J. Rivlin — 1979
• CRC standard curves and surfacesVon Seggern, H. David — 1993
• Fertigungsmeßtechnik : Handbuch für Industrie und WissenschaftH.-J. Warnecke, W. Dutschke, H.-P. Grode — 1984
• Vector Mechanics for Engineers: DynamicsFerdinand P. Beer, E. Russell Johnston — 1950
• Problems with software for running coordinate measuring machines: The use of virtual volumetric standardsAlbert Weckenmann, M. Heinrichowski — 1985
• Three dimensional feature independent bestfit in coordinate metrologyDavid Sourlier — 1995
• Taschenbuch der MathematikI N Bronstein, K A Semendjajew — 1966
• Handbook of Computer Aided Geometric DesignG. Farin, J. Hoschek, Myung-Soo Kim — 2002
• Differential Geometry of Curves and SurfacesH. T. H. Piaggio — 1952
• Optimal approximate conversion of spline surfacesJosef Hoschek, Franz‐Josef Schneider, Peter Wassum — 1989
• Algorithm 676: ODRPACK: software for weighted orthogonal distance regressionPaul T. Boggs, Janet R. Donaldson, Richaard h. Byrd — 1989
• Fitting conic sections to scattered dataFred L. Bookstein — 1979
• Computer solution of large sparse positive definite systemsJoseph E. Pasciak, Alan D. George, Joseph W. Liu — 1982
• Testing of coordinate measuring machine softwareF. Wäldele, Brian Bittner, K. Busch — 1993
• Least-Squares Fitting of Two 3-D Point SetsK.S. Arun, Thomas S. Huang, Steven D. Blostein — 1987
• Two Approaches to a Computer Model for Quadric SurfacesRonald Goldman — 1983
• A note on the least squares fitting of ellipsesPaul L. Rosin — 1993
• Accurate parameter estimation of quadratic curves from grey-level imagesR. Safaee‐Rad, I. Tchoukanov, B. Benhabib — 1991
• Estimation of motion from a pair of range images: A reviewBikash Sabata, J.K. Aggarwal — 1991

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• Investigation and Comparison of 3D Laser Scanning Software PackagesYezeed Abdelmajid — 2012
• Low-Altitude Operation of Unmanned RotorcraftSanjiv Singh, Sebastian Scherer — 2011
• Template matching of freeform surfaces based on orthogonal distance fitting for precision metrologyXiangqian Jiang, Xiangchao Zhang, Paul J. Scott — 2010
• Extracting 3D Geometry Parameters of Hip Joint for Designing a Custom-Made Hip ImplantJeong-Woo Seo, Yongtae Jun — 2008
• Contribution à la reconstruction de surfaces complexes à partir d'un grand flot de données non organisées pour la métrologie 3D.Nadim El Hayek — 2014
• A Novel Approach to Orthogonal Distance Least Squares Fitting of General ConicsSudanthi Wijewickrema, Charles Edward Esson, Andrew P. Papliński — 2009
• The Orthogonal Distance Fitting Of Parametric Surfaces For Precision Coordinate MetrologyXiangchao Zhang, Xiangqian Jiang, P. Scott — 2009
• GLOTTAL EXCITATION EXTRACTION OF VOICED SPEECH - JOINTLY PARAMETRIC AND NONPARAMETRIC APPROACHESYiqiao Chen — 2012
• Quantifying the urban forest environment using dense discrete return LiDAR and aerial color imagery for segmentation and object-level biomass assessmentMadhurima Bandyopadhyay — 2015
• An Algorithm for Uniform Scanning of Coating Buildings Modeled with Spline FunctionsGrzegorz Lenda — 2010
• Mechanical design for the tactile exploration of constrained internal geometriesDaniel T. Kettler — 2009
• Automatic model reconstruction of indoor Manhattan-world scenes from dense laser range data (Automatische Modellierung von Manhattan-World Innenräumen aus Laser-Scanner-Daten)Angela Budroni — 2013
• The Application of Least-Squares Method for Approximating the Surfaces of Engineering StructuresGrzegorz Lenda — 2008
• Adaptive Segmentierung von Tiefenbildern für die 3-D-Objektlageerkennung auf Basis von kombinierten regelgeometrischen ElementenMartin Stotz — 2011
• Mapping and characterizing endometrial implants by registering 2D transvaginal ultrasound to 3D pelvic magnetic resonance imagesAmir Yavariabdi, Adrien Bartoli, Chafik Samir — 2015
• Least Squares or Least CirclesIvo Petráš, Igor Podlubný — 2010
• Catadioptric single-shot rangefinder for textured map building in robot navigationRadu Orghidan, El Mustapha Mouaddib, Joaquím Salví — 2007
• Chebyshev fitting of complex surfaces for precision metrologyXiangchao Zhang, Hao Zhang, Xiaoying He — 2013
• Three-dimensional reconstruction of specular reflecting technical surfaces using structured light microscopyJohannes Kettel, Claas Müller, Holger Reinecke — 2014
• Morphological analysis of the human knee joint for creating custom-made implant modelsYongtae Jun — 2011

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