# vImage_AffineTransform A structure for values that represent an affine transformation. ``` struct vImage_AffineTransform ``` ## Overview This structure represents the 3x2 matrix :  In 32-bit applications, this structure is just like the Core Graphics data structure. In 64-bit applications, the Core Graphics data structure is equivalent to [`vImage_AffineTransform_Double`](/documentation/Accelerate/vImage_AffineTransform_Double). Most of the time, you should use the [`vImage_CGAffineTransform`](/documentation/Accelerate/vImage_CGAffineTransform) data structure, which changes size depending on architecture. The describes functions for creating and manipulating matrixes of this form. ## Topics ### Initializers [`init(a:b:c:d:tx:ty:)`](/documentation/Accelerate/vImage_AffineTransform/init(a:b:c:d:tx:ty:)-58fxt) Returns a new affine transform. [`init()`](/documentation/Accelerate/vImage_AffineTransform/init()) [`init(a:b:c:d:tx:ty:)`](/documentation/Accelerate/vImage_AffineTransform/init(a:b:c:d:tx:ty:)-6b4yl) ### Affine Transform Matrix Elements [`a`](/documentation/Accelerate/vImage_AffineTransform/a) The entry at position `[1,1]` in the matrix. [`b`](/documentation/Accelerate/vImage_AffineTransform/b) The entry at position `[1,2]` in the matrix. [`c`](/documentation/Accelerate/vImage_AffineTransform/c) The entry at position `[2,1]` in the matrix. [`d`](/documentation/Accelerate/vImage_AffineTransform/d) The entry at position `[2,2]` in the matrix. [`tx`](/documentation/Accelerate/vImage_AffineTransform/tx) The entry at position `[3,1]` in the matrix. [`ty`](/documentation/Accelerate/vImage_AffineTransform/ty) The entry at position `[3,2]` in the matrix. --- Copyright © 2026 Apple Inc. All rights reserved. | [Terms of Use](https://www.apple.com/legal/internet-services/terms/site.html) | [Privacy Policy](https://www.apple.com/privacy/privacy-policy)