Using weighted Alpha Complexes in Subsurface Modelling: Reconstructing the shape of observed natural objects
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[1] Peter J. Diggle,et al. Statistical analysis of spatial point patterns , 1983 .
[2] H. Cramér. Mathematical methods of statistics , 1947 .
[3] Wolfgang Böhm,et al. Geometric concepts for geometric design , 1993 .
[4] U. Rembold,et al. Computer Integrated Manufacturing And Engineering , 1993 .
[5] H. V. Craig. Vector and tensor analysis , 1943 .
[6] Joseph O'Rourke,et al. Computational Geometry in C. , 1995 .
[7] Alistair R. Brown. Interpretation of three-dimensional seismic data , 1986 .
[8] A. Bossavit. Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements , 1997 .
[9] Karl Sigman. Stationary marked point processes , 1995 .
[10] M. N. Shanmukha Swamy,et al. Graphs: Theory and Algorithms , 1992 .
[11] Hanan Samet,et al. The Design and Analysis of Spatial Data Structures , 1989 .
[12] Robert F. Woodbury,et al. Variations in solids: A declarative treatment , 1990, Comput. Graph..
[13] J. G. Semple,et al. Algebraic Projective Geometry , 1953 .
[14] Robert L. Ogniewicz,et al. Skeleton-space: a multiscale shape description combining region and boundary information , 1994, 1994 Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.
[15] Carlo Cattani,et al. Dimension-independent modeling with simplicial complexes , 1993, TOGS.
[16] G. Lieberman,et al. Statistical Theory with Engineering Applications , 1952 .
[17] C. Read,et al. Handbook of the normal distribution , 1982 .
[18] Michael T. Goodrich,et al. Finding the Convex Hull of a Sorted Point Set in Parallel , 1987, Inf. Process. Lett..
[20] Prem K. Kythe,et al. Computational Conformal Mapping , 1998 .
[21] S. Mardešić. Shape Theory: The Inverse System Approach , 1982 .
[22] Unny Menon,et al. Concurrent engineering : concepts, implementation and practice , 1994 .
[23] Ivar Aavatsmark,et al. Discretization on Non-Orthogonal, Quadrilateral Grids for Inhomogeneous, Anisotropic Media , 1996 .
[24] M LieshoutvanM.N.,et al. Stochastic geometry : likelihood and computation , 2000 .
[25] Pedro Meseguer,et al. Constraint Satisfaction Problems: An Overview , 1989, AI Commun..
[26] Joseph N. Wilson,et al. Handbook of computer vision algorithms in image algebra , 1996 .
[27] R. R. Martin,et al. Differential geometry applied to curve and surface design , 1988 .
[28] J. Ed Akin. Computer-assisted mechanical design , 1990 .
[29] Christopher J. Taylor,et al. A Method of Automated Landmark Generation for Automated 3D PDM Construction , 1998, BMVC.
[30] Clement T. Yu,et al. Segmentation of skin cancer images , 1999, Image Vis. Comput..
[31] H. Reineck,et al. Depositional sedimentary environments , 1973 .
[32] Herbert Edelsbrunner,et al. Three-dimensional alpha shapes , 1992, VVS.
[33] J. R. Allen,et al. Principles of physical sedimentology , 1985 .
[34] Christoph M. Hoffmann,et al. A graph-constructive approach to solving systems of geometric constraints , 1997, TOGS.
[35] Remco C. Veltkamp,et al. Modelling natural objects with -complexes , 2002, Comput. Aided Des..
[36] R. Veltkamp,et al. Geometric Modelling with a-Complexes , 2001 .
[37] Andreas Hartwig. Algebraic 3-D Modeling , 1996 .
[38] David G. Kirkpatrick,et al. On the shape of a set of points in the plane , 1983, IEEE Trans. Inf. Theory.
[39] Eliseo Clementini,et al. A Small Set of Formal Topological Relationships Suitable for End-User Interaction , 1993, SSD.
[40] Remco C. Veltkamp,et al. Closed Object Boundaries from Scattered Points , 1994, Lecture Notes in Computer Science.
[41] David Eppstein,et al. Dihedral bounds for mesh generation in high dimensions , 1995, SODA '95.
[42] Herbert Edelsbrunner,et al. On the Definition and the Construction of Pockets in Macromolecules , 1998, Discret. Appl. Math..
[43] G. Ranalli. Rheology of the Earth : Deformation and Flow Processes in Geophysics and Geodynamics , 1987 .
[44] Y. Takeda. FLOW IN ROCKS MODELLED AS MULTIPHASE CONTINUA : APPLICATION TO POLYMINERALIC ROCKS , 1998 .
[45] T.P.H. Steeghs. Local Power Spectra and Seismic Interpretation , 1997 .
[46] K. Richards,et al. River Channels: Environment and Process , 1989 .
[47] O. Berg,et al. Seismic stratigraphy II : an integrated approach to hydrocarbon exploration , 1985 .
[48] J. L. Coolidge,et al. A Treatise On The Circle And Sphere , 1916 .
[49] Hans-Hermann Bock,et al. Classification and Clustering: Problems for the Future , 1994 .
[50] Exploration and Appraisal Technology: Maximising Rewards by Integration , 1994 .
[51] Franz Aurenhammer,et al. Recognising Polytopical Cell Complexes and Constructing Projection Polyhedra , 1987, J. Symb. Comput..
[52] Aristides A. G. Requicha,et al. Representaiton of Rigid Solid Objects , 1980, CAD Advanced Course.
[53] Raimund Seidel,et al. Exact Upper Bounds for the Number of Faces in d-Dimensional Voronoi Diagrams , 1990, Applied Geometry And Discrete Mathematics.
[54] J. Lammens. A computational model of color perception and color naming , 1995 .
[55] Michael Ian Shamos,et al. Computational geometry: an introduction , 1985 .
[56] Raymond E. Levitt. Knowledge-based systems in engineering , 1991 .
[57] Vipin Kumar,et al. Algorithms for Constraint-Satisfaction Problems: A Survey , 1992, AI Mag..
[58] Duvvuru Sriram,et al. Artificial intelligence in engineering design (Volume I): design representation and models of routine design , 1992 .
[59] Robert Bix,et al. Conics and Cubics: A Concrete Introduction to Algebraic Curves , 1998 .
[60] Herbert Edelsbrunner,et al. Weighted alpha shapes , 1992 .
[61] C. C. Spicer,et al. Algorithm AS 52: Calculation of Power Sums of Deviations about the Mean , 1972 .
[62] J. Coolidge. The geometry of the complex domain , 1924 .
[63] Martin Gardner,et al. Time Travel And Other Mathematical Bewilderments , 1987 .
[64] A. R. Humphries,et al. Dynamical Systems And Numerical Analysis , 1996 .
[65] G. Pinder,et al. Numerical solution of partial differential equations in science and engineering , 1982 .
[66] H. Edelsbrunner. The union of balls and its dual shape , 1995 .
[67] I. Aavatsmark,et al. Discretization on Non-Orthogonal, Curvilinear Grids for Multi-Phase Flow , 1994 .
[68] J. Hammersley,et al. Markov fields, correlated percolation, and the Ising model , 1983 .
[69] Bjørn N. Freeman-Benson,et al. An incremental constraint solver , 1990, CACM.
[70] Ken Shoemake,et al. Animating rotation with quaternion curves , 1985, SIGGRAPH.
[71] Klaus Helbig,et al. Modeling the earth for oil exploration : final report of the CEC's Geoscience I Program, 1990-1993 , 1994 .
[72] P. D. Newendorp,et al. Decision analysis for petroleum exploration , 1975 .
[73] D. Stoyan,et al. Stochastic Geometry and Its Applications , 1989 .
[74] Ernst P. Mücke,et al. Fast randomized point location without preprocessing in two- and three-dimensional Delaunay triangulations , 1999, Comput. Geom..
[75] R. E. Megill,et al. introduction to risk analysis , 1971 .
[76] Franz Aurenhammer,et al. Power Diagrams: Properties, Algorithms and Applications , 1987, SIAM J. Comput..
[77] K. Mardia,et al. Statistical Shape Analysis , 1998 .
[78] Hanan Samet,et al. Applications of spatial data structures , 1989 .
[79] Franz Aurenhammer,et al. Geometric Relations Among Voronoi Diagrams , 1987, STACS.
[80] James R. Munkres,et al. Elements of algebraic topology , 1984 .
[81] B. Rust,et al. The Sedimentology of a Braided River , 1969 .
[82] Kevin Weiler. Topological Structures for Geometric Modeling , 1986 .
[83] Olaf Kübler,et al. Medial manifolds and hierarchical description of 2D and 3D objects with applications to MRI data of , 1993 .
[84] Eliseo Clementini,et al. Composite Regions in Topological Queries , 1995, Inf. Syst..
[85] Kurt Mehlhorn,et al. A computational basis for higher-dimensional computational geometry and applications , 1998, Comput. Geom..
[86] Martin Breunig,et al. Space-time modelling of the Lower Rhine Basin supported by an object-oriented database , 1998 .
[87] B. Moss,et al. The partitioning of petrophysical data: a review , 1997, Geological Society, London, Special Publications.
[88] Reid G. Simmons,et al. The Roles of Associational and Causal Reasoning in Problem Solving , 1992, Artif. Intell..
[89] Mahmoud Melkemi,et al. Computing the shape of a planar points set , 2000, Pattern Recognit..