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Affine shape adaptation
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g({\bar {\xi }};\Sigma _{t})\,d{\bar {\xi }}.} Next, introduce an affine transformation η = B ξ {\displaystyle \eta =B\xi } where B {\displaystyle B} isAIR (program) (172 words) [view diff] exact match in snippet view article
such as rigid-body, affine and nonlinear warping. For example, for affine transformation the registration from one brain scan to another may be found withMultivariate t-distribution (5,718 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \nu } degrees of freedom. Kibria et. al. use the affine transformation to find the marginal distributions which are also MV-t. During affineVon Neumann paradox (1,526 words) [view diff] exact match in snippet view article find links to article
into sets of points and subject each set to an area-preserving affine transformation such that the result is two planar figures of the same size as theSelf-concordant function (4,403 words) [view diff] exact match in snippet view article find links to article
the left hand side of the above inequality is invariant under the affine transformation f ( x ) → ϕ ( y ) = f ( A y ) , u → A − 1 u , v → A − 1 v {\displaystyleHanner polytope (1,371 words) [view diff] exact match in snippet view article find links to article
symmetric convex bodies. The translates of a hypercube (or of an affine transformation of it, a parallelotope) form a Helly family: every set of translates3D object recognition (1,006 words) [view diff] exact match in snippet view article find links to article
to construct an estimate of points positions (up to an arbitrary affine transformation). The paper of Rothganger et al. therefore selects two adjacentThin plate spline (1,605 words) [view diff] exact match in snippet view article find links to article
+ 1 ) {\displaystyle (D+1)\times (D+1)} matrix representing the affine transformation (hence z {\displaystyle z} is a 1 × ( D + 1 ) {\displaystyle 1\timesMatrix representation (465 words) [view diff] exact match in snippet view article find links to article
operations natively. It is also possible to efficiently use a '3×4' affine transformation matrix without padding or awkward permutes. With column-major orderPiola transformation (273 words) [view diff] exact match in snippet view article find links to article
{x}})=B{\hat {x}}+b,~B\in \mathbb {R} ^{d,d},~b\in \mathbb {R} ^{d}} an affine transformation. Let K = F ( K ^ ) {\displaystyle K=F({\hat {K}})} with K ^ {\displaystyleMotion estimation (929 words) [view diff] exact match in snippet view article find links to article
images or frames. It assumes that the motion can be modeled as an affine transformation (translation + rotation + zooming), which is a linear transformationHessian affine region detector (1,188 words) [view diff] exact match in snippet view article find links to article
uses an iterative shape adaptation algorithm to compute the local affine transformation for each interest point. The implementation of this algorithm isSiegel domain (1,069 words) [view diff] exact match in snippet view article find links to article
domains are isomorphic if and only if they are isomorphic by an affine transformation. Suppose that G is the Lie algebra of a transitive connected groupFractional wavelet transform (1,726 words) [view diff] exact match in snippet view article find links to article
b ( t ) {\displaystyle \psi _{\alpha ,a,b}(t)} is a continuous affine transformation and chirp modulation of the mother wavelet ψ ( t ) {\displaystyleMahalanobis distance (2,735 words) [view diff] exact match in snippet view article find links to article
general, the Mahalanobis distance is preserved under any full-rank affine transformation of the affine span of the samples. So in case the affine span isMahalanobis distance (2,735 words) [view diff] exact match in snippet view article find links to article
general, the Mahalanobis distance is preserved under any full-rank affine transformation of the affine span of the samples. So in case the affine span isConvex cone (3,640 words) [view diff] exact match in snippet view article find links to article
cone. An affine convex cone is the set resulting from applying an affine transformation to a convex cone. A common example is translating a convex coneSpin chain (1,138 words) [view diff] exact match in snippet view article find links to article
the 1 denotes identity. The Hamiltonian is essentially, up to an affine transformation, H = ∑ n = 1 N σ i ( n ) σ i ( n + 1 ) {\displaystyle H=\sum _{n=1}^{N}\sigmaAVX-512 (4,709 words) [view diff] exact match in snippet view article find links to article
Description VGF2P8AFFINEINVQB Galois field affine transformation inverse VGF2P8AFFINEQB Galois field affine transformation VGF2P8MULB Galois field multiply bytesImaging spectrometer (2,348 words) [view diff] exact match in snippet view article find links to article
present. Vertex Component Analysis - works on the fact that the affine transformation of a simplex is another simplex which helps to find hidden (folded)BERT (language model) (3,367 words) [view diff] exact match in snippet view article
decoded back to 30,000-dimensional vocabulary space using a basic affine transformation layer. The encoder stack of BERT has 2 free parameters: L {\displaystyleProofs involving ordinary least squares (5,246 words) [view diff] exact match in snippet view article find links to article
that β ^ − β {\displaystyle {\widehat {\beta }}-\beta } is just an affine transformation of ε {\displaystyle \varepsilon } by the matrix ( X T X ) − 1 XJean-François Mertens (3,864 words) [view diff] exact match in snippet view article find links to article
requires a function evaluated on a shifted policy to return an affine transformation of the value of the original policy, while the coefficients dependDigital image correlation and tracking (2,345 words) [view diff] exact match in snippet view article find links to article
relation between (xi, yj) and (xi*, yj*) can be approximated by a 2D affine transformation such as: x ∗ = x + u + ∂ u ∂ x Δ x + ∂ u ∂ y Δ y , {\displaystyleOne-dimensional symmetry group (1,839 words) [view diff] exact match in snippet view article find links to article
groups “up to conjugacy with respect to affine transformations”: the affine transformation changes the translation distance to the standard one (above: 1)Corner detection (8,962 words) [view diff] exact match in snippet view article find links to article
scores and lower 1−precision scores. The scale selection properties, affine transformation properties and experimental properties of these and other scale-spaceYaDICs (2,141 words) [view diff] exact match in snippet view article find links to article
transformations are defined on the whole picture using rigid body or affine transformation (which is equivalent to homogeneous strain transformation). MoreProduct of exponentials formula (1,116 words) [view diff] exact match in snippet view article find links to article
exponentials for a kinematic chain, with the goal of parameterizing an affine transformation matrix between the base and tool frames in terms of the joint anglesB-spline (5,707 words) [view diff] exact match in snippet view article find links to article
way, such as being translated, rotated, scaled, or moved by any affine transformation, then the corresponding curve is transformed in the same way. BecauseTetrahedron (9,494 words) [view diff] exact match in snippet view article find links to article
the same similarity class may be transformed to each other by an affine transformation. The outcome of having a limited number of similarity classes inFunctional integration (neurobiology) (2,708 words) [view diff] exact match in snippet view article
by mapping them to a reference image. This is done by use of an affine transformation that minimizes the sum-of-squares intensity difference between theScale space (6,593 words) [view diff] exact match in snippet view article find links to article
orientation in the image domain, or by applying a preferred local affine transformation to a local image patch (see the article on affine shape adaptationInverse function theorem (7,885 words) [view diff] exact match in snippet view article find links to article
completes the proof. To prove existence, it can be assumed after an affine transformation that f ( 0 ) = 0 {\displaystyle f(0)=0} and f ′ ( 0 ) = I {\displaystyleBanach space (17,224 words) [view diff] exact match in snippet view article find links to article
the Mazur–Ulam theorem states that T {\displaystyle T} must be an affine transformation. In particular, if T ( 0 X ) = 0 Y , {\displaystyle T(0_{X})=0_{Y}Theory of conjoint measurement (6,030 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \varphi _{X}\,} are measurements of A and X unique up to affine transformation (i.e. each is an interval scale in Stevens’ (1946) parlance). TheGlossary of classical algebraic geometry (11,133 words) [view diff] exact match in snippet view article find links to article
equiaffinity An equiaffinity is an equiaffine transformation, meaning an affine transformation preserving area. equianharmonic 1. Four points whose cross ratioBeltrami equation (10,901 words) [view diff] exact match in snippet view article find links to article
diffeomorphism F with the properties above, it can be assumed after an affine transformation that the boundary of U has length 2π and that 0 lies in U. The smoothComputational anatomy (16,879 words) [view diff] exact match in snippet view article find links to article
and the sampling directions of s {\displaystyle {\bf {s}}} due to affine transformation. It guarantees that the volume fraction of fibers oriented toward