java.lang.Object
- net.imglib2.mesh.MeshStats

```
public class MeshStats
extends Object
```
Static utilities that compute various shape descriptors of a mesh.

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method	Description
`static RealPoint`	`centroid(Mesh input)`	Returns the centroid of the mesh, that is the center of gravity of its volume.
`static double`	`compactness(Mesh mesh)`	Returns the compactness of the mesh.
`static double`	`convexHullSurfaceArea(Mesh mesh)`	Computes the surface area of the convex hull of the specified mesh.
`static long`	`convexHullVerticesCount(Mesh input)`	Describes the number of vertices on the surface of the convex hull of `Mesh`.
`static double`	`convexHullVolume(Mesh mesh)`	Computes the volume of the convex hull of the specified mesh.
`static double`	`convexity(Mesh mesh)`	Returns the convexity of a mesh.
`static double`	`convexity(Mesh mesh, Mesh convexHull)`	Returns the convexity of a mesh.
`static RealMatrix`	`elongation(Mesh input)`	Describes the elogation of a `Mesh`.
`static double`	`mainElongation(Mesh input)`	Describes the elongation of the two larger principle axes of the minimum box containing a `Mesh`.
`static double`	`medianElongation(Mesh input)`	Describes the elongation of the two smaller principle axes of the minimum box containing a `Mesh`.
`static double`	`solidity(Mesh mesh)`	Returns the solidity of a mesh.
`static double`	`solidity(Mesh mesh, Mesh convexHull)`	Returns the solidity of a mesh.
`static double`	`spareness(Mesh input)`	Describes the spareness of a `Mesh`.
`static double`	`sphericity(Mesh mesh)`	Returns the sphericity of a mesh.
`static double`	`surfaceArea(Mesh mesh)`	Returns the surface area of a mesh.
`static long`	`verticesCount(Mesh input)`	Describes the number of vertices on the surface of a `Mesh`.
`static double`	`volume(Mesh mesh)`	Computes the volume of the specified mesh.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Method Detail
  - volume
```
public static double volume(Mesh mesh)
```
    Computes the volume of the specified mesh.
    
    Parameters:
    
    mesh - the input Mesh
    
    Returns:
    
    the volume in physical units.
    
    Implementation Note:
    
    op names='geom.size', label='Geometric (3D): Volume', priority='9999.'
  - convexHullVolume
```
public static double convexHullVolume(Mesh mesh)
```
    Computes the volume of the convex hull of the specified mesh.
    
    Parameters:
    
    mesh - a Mesh
    
    Returns:
    
    the volume in physical units.
    
    Implementation Note:
    
    op names='geom.sizeConvexHull', label='Geometric (3D): Convex Hull Volume', priority='9999.'
  - surfaceArea
```
public static double surfaceArea(Mesh mesh)
```
    Returns the surface area of a mesh.
    It is computed as the sum of the area of the outwards-facing triangles.
    
    Parameters:
    
    mesh - the input mesh.
    
    Returns:
    
    the mesh surface area.
    
    Implementation Note:
    
    op names='geom.boundarySize', label='Geometric (3D): Surface Area', priority='10000.'
  - convexHullSurfaceArea
```
public static double convexHullSurfaceArea(Mesh mesh)
```
    Computes the surface area of the convex hull of the specified mesh.
    
    Parameters:
    
    mesh - a Mesh
    
    Returns:
    
    the surface area in physical units.
    
    Implementation Note:
    
    op names='geom.boundarySizeConvexHull', label='Geometric (3D): Convex Hull Surface Area', priority='9999.'
  - solidity
```
public static double solidity(Mesh mesh)
```
    Returns the solidity of a mesh.
    The solidity is computed as the ratio between the volume of the mesh and the volume of its convex hull.
    
    Parameters:
    
    mesh - the input mesh.
    
    Returns:
    
    the mesh solidity value.
    
    Implementation Note:
    
    op names='geom.solidity', label='Geometric (3D): Solidity', priority='10000.'
  - solidity
```
public static double solidity(Mesh mesh,
                              Mesh convexHull)
```
    Returns the solidity of a mesh.
    The solidity is computed as the ratio between the volume of the mesh and the volume of its convex hull.
    
    Parameters:
    
    mesh - the input mesh.
    
    convexHull - the convex hull of the input, if it has been pre-calculated.
    
    Returns:
    
    the mesh solidity value.
    
    Implementation Note:
    
    op names='geom.solidity', label='Geometric (3D): Solidity', priority='10000.'
  - convexity
```
public static double convexity(Mesh mesh)
```
    Returns the convexity of a mesh.
    The convexity is computed as the ratio between the surface area of the mesh and the surface area of its convex hull.
    
    Parameters:
    
    mesh - the input mesh.
    
    Returns:
    
    the mesh convexity value.
    
    Implementation Note:
    
    op names='geom.convexity', label='Geometric (3D): Convexity', priority='10000.'
  - convexity
```
public static double convexity(Mesh mesh,
                               Mesh convexHull)
```
    Returns the convexity of a mesh.
    The convexity is computed as the ratio between the surface area of the convex hull and the surface area of the mesh.
    
    Parameters:
    
    mesh - the input mesh.
    
    convexHull - the convex hull of the input, if it has been pre-calculated.
    
    Returns:
    
    the mesh convexity value.
    
    Implementation Note:
    
    op names='geom.convexity', label='Geometric (3D): Convexity', priority='10000.'
  - sphericity
```
public static double sphericity(Mesh mesh)
```
    Returns the sphericity of a mesh.
    The sphericity is computed as the ratio between the surface area of a sphere with the same volume that of the input, and the the surface area of the input mesh.
    
    Parameters:
    
    mesh - the input mesh.
    
    Returns:
    
    the mesh sphericity value.
    
    Implementation Note:
    
    op names='geom.sphericity', label='Geometric (3D): Sphericity', priority='10000.'
  - compactness
```
public static double compactness(Mesh mesh)
```
    Returns the compactness of the mesh. Based on: Ernesto Bribiesca, An easy measure of compactness for 2D and 3D shapes, Pattern Recognition, Volume 41, Issue 2, 2008, Pages 543-554, ISSN 0031-3203
    In the paper compactness is defined as area^3/volume^2. For a sphere this is minimized and results in 36*PI. To get values between (0,1] we use (36*PI)/(area^3/volume^2).
    
    Parameters:
    
    mesh - the input mesh.
    
    Returns:
    
    the mesh compactness value.
    
    Implementation Note:
    
    op names='geom.compactness', label='Geometric (3D): Compactness', priority='10000.'
  - centroid
```
public static RealPoint centroid(Mesh input)
```
    Returns the centroid of the mesh, that is the center of gravity of its volume.
    (As a side note, Meshes.center(Mesh) returns the center of gravity of the mesh's surface.)
    
    Parameters:
    
    input - the input mesh.
    
    Returns:
    
    the centroid of the mesh.
    
    Implementation Note:
    
    op names='geom.centroid', priority='10000.'
  - elongation
```
public static RealMatrix elongation(Mesh input)
```
    Describes the elogation of a Mesh. As elongation is a metric of a two-dimensional object, this functionality describes elongation as a RealMatrix, where each index x,y is the elongation considering principal axes x and y.
    
    Parameters:
    
    input - a Mesh
    
    Returns:
    
    the elongation of each subset of principal axes of input
    
    Implementation Note:
    
    op names='geom.elongation', label='Geometric (3D): Elongation', priority='10000.'
  - mainElongation
```
public static double mainElongation(Mesh input)
```
    Describes the elongation of the two larger principle axes of the minimum box containing a Mesh. Provides functionality equivalent to the "geom.mainElongation" Op of ImageJ Ops.
    
    Parameters:
    
    input - a Mesh
    
    Returns:
    
    the elongation of a cross-section containing the two larger principle axes
    
    Implementation Note:
    
    op names='geom.mainElongation', label='Geometric (3D): Main Elongation', priority='10000.'
  - medianElongation
```
public static double medianElongation(Mesh input)
```
    Describes the elongation of the two smaller principle axes of the minimum box containing a Mesh. Provides functionality equivalent to the "geom.medianElongation" Op of ImageJ Ops.
    
    Parameters:
    
    input - a Mesh
    
    Returns:
    
    the elongation of a cross-section containing the two smaller principle axes
    
    Implementation Note:
    
    op names='geom.medianElongation', label='Geometric (3D): Median Elongation', priority='10000.'
  - verticesCount
```
public static long verticesCount(Mesh input)
```
    Describes the number of vertices on the surface of a Mesh.
    
    Parameters:
    
    input - a Mesh
    
    Returns:
    
    the number of vertices in input
    
    Implementation Note:
    
    op names='geom.verticesCount', label='Geometric (3D): Surface Vertices Count', priority='10000.'
  - convexHullVerticesCount
```
public static long convexHullVerticesCount(Mesh input)
```
    Describes the number of vertices on the surface of the convex hull of Mesh.
    
    Parameters:
    
    input - a Mesh
    
    Returns:
    
    the number of vertices in the convex hull of input
    
    Implementation Note:
    
    op names='geom.verticesCountConvexHull', label='Geometric (3D): Convex Hull Vertices Count', priority='10000.'
  - spareness
```
public static double spareness(Mesh input)
```
    Describes the spareness of a Mesh. Spareness is defined as the ratio of the Mesh's volume to that of a best-fit ellipsoid. Inspiration drawn from ImageJ.
    
    Parameters:
    
    input - the input Mesh
    
    Returns:
    
    the ellipse variance
    
    Implementation Note:
    
    op names='geom.spareness', label='Geometric (3D): Spareness', priority='10000.'

Class MeshStats

Method Summary

Methods inherited from class java.lang.Object

Method Detail

volume

convexHullVolume

surfaceArea

convexHullSurfaceArea

solidity

solidity

convexity

convexity

sphericity

compactness

centroid

elongation

mainElongation

medianElongation

verticesCount

convexHullVerticesCount

spareness