Below you will find example sentences with "affine transformation". The examples show how this phrase is used in real sentences and which words often surround it.

Affine Transformation in a sentence

About this phrase

Words in this phrase

transformation

Meanings of words in this phrase

  • transformation can mean: The act of transforming or the state of being transformed. Frequent word

Context words

These words often appear near this phrase in the example sentences:

plane 5× matrix 4× linear 3× projective 2× used 2× invertible 2× may 2× ellipse 2× frame 2× triangles 2× geometry 1× simple 1×

Related phrases

digital transformation

Other phrases with the same pattern

Same ending:

digital transformation

Example types with affine transformation

Below, the examples are grouped by length and sentence type:

Short example sentences

Affine transformation of the plane A central dilation. (8 words)

An affine transformation is invertible if and only if is invertible. (11 words)

Thus, every linear transformation is affine, but not every affine transformation is linear. (13 words)

Longer example sentences

If is a matrix, : is equivalent to the following : The above-mentioned augmented matrix is called affine transformation matrix, or projective transformation matrix (as it can also be used to perform projective transformations ). (33 words)

Drawing with Bézier paths Composite Bézier curves may also be used to draw an ellipse to sufficient accuracy, since any ellipse may be construed as an affine transformation of a circle. (31 words)

If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero. (26 words)

Example sentences (10)

Affine transformation in plane geometry A simple affine transformation on the real plane Effect of applying various 2D affine transformation matrices on a unit square.

Thus, every linear transformation is affine, but not every affine transformation is linear.

If is a matrix, : is equivalent to the following : The above-mentioned augmented matrix is called affine transformation matrix, or projective transformation matrix (as it can also be used to perform projective transformations ).

If there is a fixed point, we can take that as the origin, and the affine transformation reduces to a linear transformation.

Affine transformation of the plane A central dilation.

An affine transformation is invertible if and only if is invertible.

Drawing with Bézier paths Composite Bézier curves may also be used to draw an ellipse to sufficient accuracy, since any ellipse may be construed as an affine transformation of a circle.

If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.

Under this scheme, the frame is tiled with triangles, and the next frame is generated by performing an affine transformation on these triangles.

Whatever the choices of points, there is an affine transformation T of the plane taking A to A′, and each vertex similarly.