| 31. | A direct isometry is an affine transformation with an orthogonal matrix that has a determinant of 1.
|
| 32. | Equivalently, it is a manifold that is ( if connected ) monodromy acting by affine transformations.
|
| 33. | Notice that this is an affine invariant construction since parallelism and midpoints are invariant under affine transformations.
|
| 34. | It is not classified as a linear transformation, but is instead known as an affine transformation.
|
| 35. | Since an affine transformation preserves straight lines and ratios of areas, it sends equidissections to equidissections.
|
| 36. | Other methods can handle problems such as translation, scale, image rotation and even all affine transformations.
|
| 37. | In particular two Siegel domains are isomorphic if and only if they are isomorphic by an affine transformation.
|
| 38. | An indirect isometry is an affine transformation with an orthogonal matrix that has a determinant of " 1.
|
| 39. | The goal of the affine invariant detector is to identify regions in images that are related through affine transformations.
|
| 40. | Camellia uses four 8 ?8-bit S-boxes with input and output affine transformations and logical operations.
|
