Isosurface

Isosurface

An isosurface is a three-dimensional analog of an isocontour. It is a surface that represents points of a constant value (e.g. pressure, temperature, velocity, density) within a volume of space; in other words, it is a level set of a continuous function whose domain is 3D-space.

Isosurfaces are normally displayed using computer graphics, and are used as data visualization methods in computational fluid dynamics (CFD), allowing engineers to study features of a fluid flow (gas or liquid) around objects, such as aircraft wings. An isosurface may represent an individual shockwave in supersonic flight, or several isosurfaces may be generated showing a sequence of pressure values in the air flowing around a wing. Isosurfaces tend to be a popular form of visualization for volume datasets since they can be rendered by a simple polygonal model, which can be drawn on the screen very quickly.

In medical imaging, isosurfaces may be used to represent regions of a particular density in a three-dimensional CT scan, allowing the visualization of internal organs, bones, or other structures.

Numerous other disciplines that are interested in three-dimensional data often use isosurfaces to obtain information about pharmacology, chemistry, geophysics and meteorology.

A popular method of constructing an isosurface from a data volume is the marching cubes algorithm.

Examples of isosurfaces are 'Metaballs' or 'blobby objects' used in 3D visualisation. A more general way to construct an isosurface is to use the function representation and the HyperFun language.


Wikimedia Foundation. 2010.

Игры ⚽ Нужна курсовая?

Look at other dictionaries:

  • Isosurface — Application du marching cubes pour représenter l isosurface formée par les différents matériaux composants le crâne et la matière cérébrale On peut considérer une isosurface comme l analogue en 3D d une courbe de niveau. C est en fait le lieu des …   Wikipédia en Français

  • isosurface — noun A surface that represents points of a constant value within a volume of space an isosurface representing a concentration of 10 grams per cubic meter See Also: isocontour …   Wiktionary

  • Min/max kd-tree — A min/max k d tree is a k d tree with two scalar values a minimum and a maximum assigned to its nodes. The minimum/maximum of an inner node is equal the minimum/maximum of its children s minima/maxima.ConstructionMin/max k d trees may be… …   Wikipedia

  • HAT — Ein zweischaliges Hyperboloid. Die gefärbten Flächen sind eine Hyperfläche zweiter Ordnung (im dreidimensionalen Raum). Die Hauptachsentransformation (HAT) ist ein Verfahren aus der linearen Algebra, um Gleichungen für sogenannte Hyperflächen… …   Deutsch Wikipedia

  • Hauptachsentransformation — Ein zweischaliges Hyperboloid. Die gefärbten Flächen sind eine Hyperfläche zweiter Ordnung (im dreidimensionalen Raum). Die Hauptachsentransformation (HAT) ist ein Verfahren aus der linearen Algebra, um Gleichungen für sogenannte Hyperflächen… …   Deutsch Wikipedia

  • Marching Tetrahedra — Introduction Cette méthode est destinée à représenter la surface définie par , avec f une fonction définie sur l espace. Le principe de base est identique au marching cubes. On notera alors que le marching cubes est une technique ayant fait… …   Wikipédia en Français

  • Marching tetrahedra — Cette méthode est destinée à représenter la surface définie par , avec f une fonction définie sur l espace. Le principe de base est identique au marching cubes. On notera alors que le marching cubes est une technique ayant fait l’objet d’un… …   Wikipédia en Français

  • min/max kd-tree — A min/max kd tree is a kd tree with two scalar values a minimum and a maximum assigned to its nodes. The minimum/maximum of an inner node is equal the minimum/maximum of its children s minima/maxima. Contents 1 Construction 2 Properties 3… …   Wikipedia

  • Hamilton–Jacobi equation — In physics, the Hamilton–Jacobi equation (HJE) is a reformulation of classical mechanics and, thus, equivalent to other formulations such as Newton s laws of motion, Lagrangian mechanics and Hamiltonian mechanics. The Hamilton–Jacobi equation is… …   Wikipedia

  • Implicit kd-tree — An implicit k d tree is a k d tree defined implicitly above a rectilinear grid. Its splitting planes positions and orientations are not given explicitly but implicitly by some recursive splitting function defined on the hyperrectangles belonging… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”