MATLAB Function Reference |

N-dimensional closest simplex search

**Syntax**

**Description**

```
t = tsearchn(X,TES,XI)
```

returns the indices `t`

of the enclosing simplex of the Delaunay tessellation `TES`

for each point in `XI`

. `X`

is an `m`

-by-`n`

matrix, representing `m`

points in N-dimensional space. `XI`

is a `p`

-by-`n`

matrix, representing `p`

points in N-dimensional space. `tsearchn`

returns `NaN`

for all points outside the convex hull of `X`

. `tsearchn`

requires a tessellation `TES`

of the points `X`

obtained from `delaunayn`

.

```
[t,P] = tsearchn(X,TES,XI)
```

also returns the barycentric coordinate `P`

of `XI`

in the simplex `TES`

. `P`

is a `p`

-by-`n+1`

matrix. Each row of `P`

is the Barycentric coordinate of the corresponding point in `XI`

. It is useful for interpolation.

**See Also**

tsearch | type |

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