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# tformfwd() - Image Processing

```[X, Y] = tformfwd(T, U, V) applies
the 2D-to-2D spatial transformation defined in T to
coordinate arrays U and V, mapping
the point [U(k) V(k)] to the point [X(k)
Y(k)].T is a TFORM struct created
with maketform, fliptform, or cp2tform.
Both T.ndims_in and T.ndims_out must
equal 2. U and V are typically
column vectors matching in length. In general, U and V can
have any dimensionality, but must have the same size. In any case, X and Y will
have the same size as U and V.[X1, X2, X3,...] = tformfwd(T, U1,
U2, U3,...) applies the ndims_in-to-ndims_out spatial
transformation defined in TFORM structure T to
the coordinate arrays U1,U2,...,UNDIMS_IN (where NDIMS_IN
= T.ndims_in and NDIMS_OUT = T.ndims_out).
The number of output arguments must equal NDIMS_OUT.
The transformation maps the point[U1(k) U2(k) ... UNDIMS_IN(k)]to the point[X1(k) X2(k) ... XNDIMS_OUT(k)].U1,U2,U3,... can have any dimensionality,
but must be the same size.X1,X2,X3,... must have this size also.X = tformfwd(T, U) applies
the ndims_in-to-ndims_out spatial
transformation defined in TFORM structure T to
each row of U, where U is an M-by-NDIMS_IN matrix.
It maps the point U(k,:) to the point X(k,:). X is
an M-by-NDIMS_OUT matrix.X = tformfwd(T, U), where U is
an (N+1)-dimensional array, maps the point U(k1,k2,...,kN,:) to
the point X(k1,k2,...,kN,:). size(U,N+1) must
equal NDIMS_IN. X is an (N+1)-dimensional
array, with size(X,I) equal to size(U,I) for I
= 1,...,N and size(X,N+1) equal to NDIMS_OUT.[X1, X2, X3,...] = tformfwd(T, U) maps
an (N+1)-dimensional array to NDIMS_OUT equally
sized N-dimensional arrays.X = tformfwd(T, U1, U2, U3,...) maps NDIMS_IN N-dimensional
arrays to one (N+1)-dimensional array.```

### Syntax

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

### Example

`[U1(k) U2(k) ... UNDIMS_IN(k)]`