affine transformation (Meaning)
affine transformation (n)
(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
Synonyms & Antonyms of affine transformation
No Synonyms and anytonyms found
affine transformation Sentence Examples
- An affine transformation in computer graphics can involve translation, rotation, scaling, and shearing to manipulate objects.
- The graphic designer applied an affine transformation to resize the image without distorting its proportions.
- In linear algebra, an affine transformation preserves points, straight lines, and planes, but not necessarily distances and angles.
- The affine transformation matrix is a key tool for expressing and performing transformations in homogeneous coordinates.
- Mapping the coordinates of a polygon through an affine transformation can alter its position and orientation.
- Affine transformations are commonly used in image processing to correct distortions or adjust perspective.
- Geometrically, an affine transformation can be visualized as a combination of linear transformations and translations.
- In computer vision, affine transformations are employed to align and compare images for feature extraction.
- The concept of an affine transformation extends beyond two-dimensional spaces, finding applications in three-dimensional graphics and transformations.
- Understanding the properties of affine transformations is fundamental in the study of projective geometry and its applications in various fields.
FAQs About the word affine transformation
(mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis
No synonyms found.
No antonyms found.
An affine transformation in computer graphics can involve translation, rotation, scaling, and shearing to manipulate objects.
The graphic designer applied an affine transformation to resize the image without distorting its proportions.
In linear algebra, an affine transformation preserves points, straight lines, and planes, but not necessarily distances and angles.
The affine transformation matrix is a key tool for expressing and performing transformations in homogeneous coordinates.
