3D Isosurfacing Reference

Mael Rouxel-Labbé, Julian Stahl, Daniel Zint, and Pierre Alliez

This package implements several grid-based isosurfacing algorithms (Marching Cubes, its topologically correct variant, and Dual Contouring) that enable generating surface meshes from 3D value and gradient fields. The methods are generic with respect to the definition of the grid and the fields, and all methods offer parallel implementations. The output is a polygon soup (i.e., a container of 3D point coordinates and indexed faces).

Introduced in: CGAL 6.1
BibTeX: cgal:sz-mc-24b
License: GPL
Windows Demo: Polyhedron demo

Classified Reference Pages

Concepts

• IsosurfacingTraits_3
• IsosurfacingPartition_3
• IsosurfacingValueField_3
• IsosurfacingGradientField_3
• IsosurfacingInterpolationScheme_3
• IsosurfacingEdgeIntersectionOracle_3
• IsosurfacingDomain_3
• IsosurfacingDomainWithGradient_3

Space Partitioning Data Structures

• CGAL::Isosurfacing::Cartesian_grid_3

Value and Gradient Fields

• CGAL::Isosurfacing::Value_function_3
• CGAL::Isosurfacing::Gradient_function_3
• CGAL::Isosurfacing::Finite_difference_gradient_3
• CGAL::Isosurfacing::Interpolated_discrete_values_3
• CGAL::Isosurfacing::Interpolated_discrete_gradients_3
• CGAL::Isosurfacing::Trilinear_interpolation

Isosurfacing Domains Helpers

• CGAL::Isosurfacing::Dichotomy_edge_intersection
• CGAL::Isosurfacing::Linear_interpolation_edge_intersection

Isosurfacing Domains

• CGAL::Isosurfacing::Marching_cubes_domain_3
• CGAL::Isosurfacing::Dual_contouring_domain_3
• CGAL::Isosurfacing::create_marching_cubes_domain_3()
• CGAL::Isosurfacing::create_dual_contouring_domain_3()

Isosurfacing Methods

• CGAL::Isosurfacing::marching_cubes()
• CGAL::Isosurfacing::dual_contouring()

I/O

• CGAL::Isosurfacing::IO::convert_image_to_grid()
• CGAL::Isosurfacing::IO::convert_grid_to_image()

Modules
	Concepts
	Space Partitioning Data Structures
	This group encapsulates classes that represent a spatial discretization of space, which will be the scaffolding for the construction of the isosurface.
	Value and Gradient Fields Helpers
	The following classes and functions are parameters or template parameters of value and gradient fields.
	Value and Gradient Fields
	The following classes represent the data that defines the isosurface.
	Isosurfacing Domains
	This group encapsulates the classes that can be used to represent a complete domain (partition and fields), to be used by the isosurfacing methods of this package.
	Isosurfacing Methods
	I/O Functions