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Equivalently, affine shape adaptation can be accomplished by iteratively warping a local image patch with affine transformations while applying a rotationally symmetric filter to the warped image patches. Provided that this iterative process converges, the resulting fixed point will be affine invariant.
Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...
The simplest application of image geometry correction is a specific case known as keystone distortion correction derived from Keystone effect.Keystone distortion gets its name from the symmetric trapezoidal distortion resulting from misaligned projector placement in the vertical dimension (although the term is generally applied to the non-symmetric quadrilateral shape that occurs from an off ...
Image warping example. Image warping is the process of digitally manipulating an image such that any shapes portrayed in the image have been significantly distorted. Warping may be used for correcting image distortion as well as for creative purposes (e.g., morphing [1]). The same techniques are equally applicable to video.
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A texture map [5] [6] is an image applied (mapped) to the surface of a shape or polygon. [7] This may be a bitmap image or a procedural texture.They may be stored in common image file formats, referenced by 3D model formats or material definitions, and assembled into resource bundles.
In geometric optics, distortion is a deviation from rectilinear projection; a projection in which straight lines in a scene remain straight in an image.It is a form of optical aberration that may be distinguished from other aberrations such as spherical aberration, coma, chromatic aberration, field curvature, and astigmatism in a sense that these impact the image sharpness without changing an ...
The tangent frame bundle (or simply the frame bundle) of a smooth manifold is the frame bundle associated with the tangent bundle of . The frame bundle of M {\displaystyle M} is often denoted F M {\displaystyle FM} or G L ( M ) {\displaystyle \mathrm {GL} (M)} rather than F ( T M ) {\displaystyle F(TM)} .