# Isosurface

**Isosurfaces** are surfaces that connect neighboring points in space with the same characteristics or values of a certain size such as temperature or density. They are the three-dimensional counterpart to isolines that connect points on a surface.

The importance of **isosurfaces** lies in the computer graphic visualization of scalar fields or grids.

In medicine, isosurfaces from data sets with density values are used to represent organ surfaces. The data sets are created, for example, from computer tomography measurements. Another application is the representation of molecules whose atomic position has been determined by electron microscopy.

The most common method for representing isosurfaces is called Marching Cubes and was introduced by Lorensen and Cline in 1987.

## definition

The **isosurface** to a scalar field at the **iso ***value* is the amount .

Three-dimensional *isosurfaces* are usually approximated from a finite set of data points ( grids ), for example by means of triangular networks .

## See also

## literature

- Hansen, Charles D., Johnson, Chris R .:
*The Visualization Handbook.*Elsevier Academic Press, 2005, ISBN 0-12-387582-X , p. 39ff