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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.
Fons & Porter's Love of Quilting is a magazine and television program focusing on the art and technique of piecing and quilting quilts. The show was hosted by Liz Porter (Katie Porter’s mother) and Marianne Fons. Both have retired and occasionally make guest appearances on the show.
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.
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 ...
Longarm quilting is the process by which a longarm sewing machine is used to sew together a quilt top, quilt batting and quilt backing into a finished quilt.. A complete longarming system typically consists of a sewing machine head, a frame, a table with a layer of plastic (under which is placed a pantograph), and several rollers on which the fabric layers and batting are attached.
The vertical warp yarns are held stationary in tension on a loom (frame) while the horizontal weft (also called the woof) is drawn through (inserted over and under) the warp thread. [1] In the terminology of weaving, each warp thread is called a warp end ; a pick is a single weft thread that crosses the warp thread (synonymous terms are fill ...
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 ...
A reflection about a line or plane that does not go through the origin is not a linear transformation — it is an affine transformation — as a 4×4 affine transformation matrix, it can be expressed as follows (assuming the normal is a unit vector): [′ ′ ′] = [] [] where = for some point on the plane, or equivalently, + + + =.