| Patterns, digital straight lines and subsegments | |
| Integer computations | |
| Irreducible fraction, continued fractions | |
| Lattice polytopes in the digital plane ZxZ (convex polygons with vertices at integer coordinates) | |
| Arithmetic package | |
| Arithmetic Concepts and Models | |
| Parameter passing, cloning and referencing | |
| Using functions, functors and lambdas in DGtal | |
| Iterators and ranges | |
| Set operations on arbitrary containers | |
| Base package | |
| Base Concepts | |
| Piecewise-smooth approximation using a discrete calculus model of Ambrosio-Tortorelli functional | |
| Embedding n-dimensional DEC structures into m-dimensional space | |
| Helmoltz decomposition | |
| Discrete exterior calculus | |
| Poisson problem | |
| Propagation | |
| Geodesics In Heat using discrete polygonal calculus | |
| Heat Kernel Laplace–Beltrami Operator | |
| Discrete differential calculus on polygonal surfaces | |
| Vector Heat Method using discrete polygonal calculus | |
| DEC package | |
| DEC Main Concepts | |
| Building DGtal | |
| Unit test in DGtal using Catch | |
| Git/Github source code management in DGtal | |
| How to use DGtal in my own project with other build systems? | |
| How to use DGtal in my own project ? | |
| Introduction | |
| Preliminaries | |
| DGtal python binding | |
| Shortcuts (for the impatient developper) | |
| Tutorials | |
| Tutorial: Surface area estimation | |
| Tutorial "File -> Grid Curve -> Ranges" | |
| Tutorial: Local morphological opening of a 3d volume by the Fast Marching Method | |
| Tutorial "Image -> Region -> Grid curve -> Length estimation" | |
| Tutorial "Image -> Region -> Grid curve -> Extracting level set boundary from Image" | |
| Tutorial "Image -> Region -> Volume -> 3dVolViewer : a simple 3D volume viewer in less than 50 lines" | |
| Tutorial "Image -> ImageAdapter: some simple image manipulations" | |
| Tutorial "Image -> Region -> Distance Transformation" | |
| Tutorial: making a polyhedron from a digital object | |
| Tutorial "Generated shape -> Grid curve -> Length estimation" | |
| Tutorial: Volumetric analysis and Granulometry | |
| Alpha-thick Segment Recognition <br> | |
| Digital straight lines and segments <br> | |
| Detailed explanation of COBA plane recognition algorithm | |
| Curvature measures on meshes and digital surfaces | |
| Digital convexity and full digital convexity | |
| Applications of full digital convexity | |
| Fully convex envelope, relative fully convex envelope and digital polyhedra | |
| nD Fast Marching Methods | |
| Fréchet Shortcuts | |
| Implementation of geometric predicates | |
| Analysis of one-dimensional discrete structures | |
| Convex hull and alpha-shape in the plane | |
| Integral invariant curvature estimator 2D/3D | |
| Local digital surface estimators from surfel functors | |
| Maximal segments and slices of digital surface based normal estimator | |
| Metric Spaces, Digital Metric Spaces and Related Concepts | |
| Digitization of 3D parametric curves | |
| Plane-probing based normal estimators | |
| Plane recognition and plane width computation | |
| QuickHull algorithm in arbitrary dimension for convex hull and Delaunay cell complex computation | |
| Digital surface regularization by normal vector alignment | |
| Digital surface regularization using the Shrouds algorithm | |
| Digital Voronoi Covariance Measure and geometry estimation | |
| nD Volumetric Analysis using Separable Processes | |
| Geometry package | |
| Geometry Concepts | |
| Interfacing with boost::graph library | |
| Basic graph definitions and concepts | |
| Graph package | |
| Graph Main Concepts | |
| Handle large images in DGtal | |
| Geometric transformations | |
| Images | |
| Image package | |
| Main Image Concepts | |
| Board2D: a stream mechanism for displaying 2D digital objects | |
| Display3D: a stream mechanism for displaying 3D DGtal objects | |
| Image and digital object import/export | |
| Extending the QGLViewer Viewer3D interface | |
| Limited interaction when using selection with QGLViewer Viewer3D stream mechanism | |
| IO package | |
| Sets of points in digital spaces | |
| Number and Integer Concepts | |
| Digital Spaces, Points, Vectors and Domains | |
| Kernel package | |
| Kernel Concepts | |
| Multivariate polynomials | |
| Mathematical package | |
| Math Main Concepts | |
| Half-edge data structure, triangulated surfaces and polygonal surfaces | |
| Manipulating Simple Mesh | |
| Mesh Voxelization | |
| Shapes, Shapers and Digitizers | |
| Surface mesh data structure for representing manifold or non-manifold polygonal surfaces in R3 | |
| Shapes package | |
| Shapes Concepts | |
| Cellular grid space and topology, unoriented and oriented cells, incidence | |
| Cubical Complex | |
| Helpers for digital surfaces | |
| Digital surfaces | |
| Digital topology and digital objects | |
| Voxel Complex | |
| Topology package | |
| Topology Concepts and Models (part I, models of graph) | |
| Topology Concepts and Models (part II, digital surfaces, surfel predicates) | |
| Todo List | |
| Deprecated List | |
| Bibliography | |
