Mathematical Geosciences: Hybrid Symbolic-Numeric Methods

[1]  Mark Draelos The Kinect Up Close: Modifications for Short-Range Depth Imaging. , 2012 .

[2]  Gregory E. Fasshauer,et al.  Meshfree Approximation Methods with Matlab , 2007, Interdisciplinary Mathematical Sciences.

[3]  Daniel Lichtblau,et al.  Cylinders Through Five Points: Complex and Real Enumerative Geometry , 2006, Automated Deduction in Geometry.

[4]  Leigh Tesfatsion,et al.  Solving nonlinear equations by adaptive homotopy continuation , 1991 .

[5]  Teuvo Kohonen,et al.  The self-organizing map , 1990 .

[6]  Patrick Westfeld,et al.  PHOTOGRAMMETRIC CALIBRATION OF RANGE IMAGING SENSORS USING INTENSITY AND RANGE INFORMATION SIMULTANEOUSLY , 2009 .

[7]  Zhou Shijiana,et al.  ROBUST ALGORITHM FOR FITTING SPHERE TO 3 D POINT CLOUDS IN TERRESTRIAL LASER SCANNING , 2008 .

[8]  Longin Jan Latecki,et al.  Extended EM for planar approximation of 3D data , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[9]  A. Khameneh,et al.  Tree Detection and Species Identification using LiDAR Data , 2013 .

[10]  Daniel Lichtblau,et al.  Cylinders through Five Points: Computational Algebra and Geometry , 2012 .

[11]  Bernard Mourrain,et al.  Generalized Resultants over Unirational Algebraic Varieties , 2000, J. Symb. Comput..

[12]  J. Bethel,et al.  DETECTION AND ROBUST ESTIMATION OF CYLINDER FEATURES IN POINT CLOUDS , 2010 .

[13]  Wolfgang Förstner,et al.  Direct Solutions for Computing Cylinders from Minimal Sets of 3D Points , 2006, ECCV.

[14]  R. Connelly,et al.  The Bellows conjecture. , 1997 .

[15]  Wolfgang Förstner,et al.  Plane Detection in Point Cloud Data , 2010 .

[16]  Zhiheng Jiang,et al.  Geoid Determination and Levelling by GPS: Some Experiments on a Test Network , 1995 .

[17]  N. Cristianini,et al.  An Introduction to Support Vector Machines and Other Kernel-based Learning Methods: Kernel-Induced Feature Spaces , 2000 .

[18]  Mia Hubert,et al.  ROBPCA: A New Approach to Robust Principal Component Analysis , 2005, Technometrics.

[19]  Steven C. Chapra,et al.  Numerical Methods for Engineers , 1986 .

[20]  Colin Rose,et al.  Symbolic Maximum Likelihood Estimation with Mathematica , 2000 .

[21]  Vilson L. DalleMole,et al.  THE SELF-ORGANZING APPROACH FOR SURFACE RECONSTRUCTION FROM UNSTRUCTURED POINT CLOUDS , 2012 .

[22]  Kamel S. Saidi,et al.  Fitting Spheres to Range Data From 3-D Imaging Systems , 2009, IEEE Transactions on Instrumentation and Measurement.

[23]  G. Piniotis,et al.  NEW MONITORING TECHNIQUES ON THE DETERMINATION OF STRUCTURE DEFORMATIONS , 2003 .

[24]  G. Sithole,et al.  Recognising structure in laser scanning point clouds , 2004 .

[25]  Béla Paláncz,et al.  Algebraic Geodesy and Geoinformatics , 2010 .

[26]  Ralph R. Martin,et al.  Faithful Least-Squares Fitting of Spheres, Cylinders, Cones and Tori for Reliable Segmentation , 1998, ECCV.

[27]  Ralf Westphal,et al.  Pose Estimation of Cylindrical Fragments for Semi-automatic Bone Fracture Reduction , 2003, DAGM-Symposium.

[28]  Oscar E. Ruiz,et al.  Fitting of Analytic Surfaces to Noisy Point Clouds , 2013 .

[29]  Robert C. Bolles,et al.  Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography , 1981, CACM.

[30]  Katrien van Driessen,et al.  A Fast Algorithm for the Minimum Covariance Determinant Estimator , 1999, Technometrics.

[31]  Holger Wendland,et al.  Scattered Data Approximation: Conditionally positive definite functions , 2004 .

[32]  David J. Hand,et al.  Intelligent Data Analysis: An Introduction , 2005 .

[33]  W. A. Heiskanen,et al.  Physical geodesy , 1967 .

[34]  A. Gray Modern Differential Geometry of Curves and Surfaces , 1993 .

[35]  Roland Siegwart,et al.  Probabilistic plane fitting in 3D and an application to robotic mapping , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[36]  G. West,et al.  DIAGNOSTIC-ROBUST STATISTICAL ANALYSIS FOR LOCAL SURFACE FITTING IN 3D POINT CLOUD DATA , 2012 .

[37]  Sylvain Petitjean,et al.  A survey of methods for recovering quadrics in triangle meshes , 2002, CSUR.

[38]  Daniel P. McMillen,et al.  Quantile Regression for Spatial Data , 2012 .

[39]  Hans De Backer,et al.  Automatic filtering of terrestrial laser scanner data from cylindrical tunnels , 2012 .

[40]  Béla Paláncz Fitting Data with Different Error Models , 2014 .

[41]  B. Sturmfels SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS , 2002 .

[42]  Andreas Birk,et al.  Fast plane detection and polygonalization in noisy 3D range images , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.