Computational geometry: an introduction
Computational geometry: an introduction
Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
Introduction to Solid Modeling
Introduction to Solid Modeling
Topological models for boundary representation: a comparison with n-dimensional generalized maps
Computer-Aided Design - Beyond solid modelling
Convex decomposition of polyhedra and robustness
SIAM Journal on Computing
Surface Parametrization and Curvature Measurement of Arbitrary 3-D Objects: Five Practical Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visualization of scalar topology for structural enhancement
Proceedings of the conference on Visualization '98
Triangulations in CGAL (extended abstract)
Proceedings of the sixteenth annual symposium on Computational geometry
Hierarchical morse complexes for piecewise linear 2-manifolds
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Recovering structural information from triangulated surfaces
Mathematical Methods for Curves and Surfaces
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
Designing the Computational Geometry Algorithms Library CGAL
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Digital Elevation Models and TIN Algorithms
Algorithmic Foundations of Geographic Information Systems, this book originated from the CISM Advanced School on the Algorithmic Foundations of Geographic Information Systems
Morphology-driven simplification and multiresolution modeling of terrains
GIS '03 Proceedings of the 11th ACM international symposium on Advances in geographic information systems
Topological analysis and characterization of discrete scalar fields
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Multi-scale dual morse complexes for representing terrain morphology
Proceedings of the 15th annual ACM international symposium on Advances in geographic information systems
Sweep-line algorithm for constrained Delaunay triangulation
International Journal of Geographical Information Science
Morphological analysis of terrains based on discrete curvature and distortion
Proceedings of the 16th ACM SIGSPATIAL international conference on Advances in geographic information systems
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Triangular Irregular Network (TIN) and Regular Square Grid (RSG) are widely used for representing 2.5 dimensional spatial data. However, these models are not defined from the topographic properties of the terrain (i.e., ridge lines, valley lines, saddle points, etc.). This paper introduces a three-step feature-based approach for topographic properties extraction on scattered elevation data modeled by a TIN. Firstly, a segmentation process extracts homogeneous morphological areas bounded by critical lines and points. Secondly, these lines and points are displaced using a deformable process in order to derive the terrain feature points, lines and areas. Thirdly, a classification process labels any topographic feature. This three-step approach relies on the definition of an adapted model of representation (SPIN) and data structure (DCFL2). The proposed approach is validated on a real case study (Seolak mountain in South Korea). Consistent results with the morphology of terrain are displayed.