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# tforminv() - Image Processing

```[U,V] = tforminv(T,X,Y) applies
the 2D-to-2D inverse transformation defined in TFORM structure T to
coordinate arrays X and Y, mapping
the point [X(k) Y(k)] to the point [U(k)
V(k)]. Both T.ndims_in and T.ndims_out must
equal 2. X and Y are typically
column vectors matching in length. In general, X and Y can
have any dimensionality, but must have the same size. In any case, U and V will
have the same size as X and Y.[U1,U2,U3,...] = tforminv(T,X1,X2,X3,...) applies
the NDIMS_OUT-to-NDIMS_IN inverse transformation
defined in TFORM structure T to the coordinate
arrays X1,X2,...,XNDIMS_OUT (where NDIMS_IN =
T.ndims_in and NDIMS_OUT = T.ndims_out).
The number of output arguments must equal NDIMS_IN.
The transformation maps the point[X1(k) X2(k) ... XNDIMS_OUT(k)]to the point[U1(k) U2(k) ... UNDIMS_IN(k)].X1,X2,X3,... can have any dimensionality,
but must be the same size.U1,U2,U3,... have this size also.U = tforminv(T,X) applies
the NDIMS_OUT-to-NDIMS_IN inverse transformation
defined in TFORM structure T to each row of X,
where X is an M-by-NDIMS_OUT matrix.
It maps the point X(k,:) to the point U(k,:). U is
an M-by-NDIMS_IN matrix.U = tforminv(T,X), where X is
an (N+1)-dimensional array, maps the point X(k1,k2,...,kN,:) to
the point U(k1,k2,...,kN,:). size(X,N+1) must
equal NDIMS_OUT. U is an (N+1)-dimensional
array, with size(U,I) equal to size(X,I) for
I = 1,...,N and size(U,N+1) equal to NDIMS_IN.[U1,U2,U3,...] = tforminv(T,X) maps
an (N+1)-dimensional array to NDIMS_IN equally-sized
N-dimensional arrays.U = tforminv(T,X1,X2,X3,...) maps NDIMS_OUT N-dimensional
arrays to one (N+1)-dimensional array.```

### Syntax

`[U,V] = tforminv(T,X,Y)[U1,U2,U3,...] = tforminv(T,X1,X2,X3,...)U = tforminv(T,X)[U1,U2,U3,...] = tforminv(T,X)U = tforminv(T,X1,X2,X3,...)`

### Example

`[X1(k) X2(k) ... XNDIMS_OUT(k)]`