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When it is combined with the warping coefficients , a non-rigid warping is generated. A nice property of the TPS is that it can always be decomposed into a global affine and a local non-affine component. Consequently, the TPS smoothness term is solely dependent on the non-affine components.
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 ...
Inkle weaving is a type of warp-faced weaving where the shed is created by manually raising or lowering the warp yarns, some of which are held in place by fixed heddles. According to the Oxford English Dictionary , the term inkle has several meanings, the first of which is "A kind of linen tape, formerly much used for various purposes."
Warping boards come in a variety of shapes, from the two nearest door handles to a board with pegs on it, or a device called a warping mill that looks similar to a swift. [10] Warping the loom, mean threading each end through an eye in a heddle, and then sleying it through the reed. The warp is set (verb) at X ends per inch.
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, + + + =.
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 ...
A spindle is also part of traditional spinning wheels where it is horizontal, such as the Indian charkha and the great or walking wheel. In industrial yarn production, spindles are used as well; see spinning jenny, spinning mule and ring spinning.
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