Thus, if the variance is not stabilized, and/or weights are not used, h will adjust itself more to fit curvature at [ST] > S50 than at [ST] < S50.
We present a fast localized clothoid interpolation algorithm that can also be used for curvature smoothing, for curve fitting, for curvature blending, and even for directly editing the curvature.
The penalty term, λ C T RC, where λ is a smoothing parameter that defines the degree of regularisation, is added to compensate for random error, and is based on the total curvature of the fitted curve, R = ∫ D 2 ϕ s D 2 ϕ T s ds, where D ϕ(s) is the second derivative of the vector of basis functions ϕ(t).
The resulting exponentially fitted curve is used instead in computing the maximum curvature and hence the optimal stage index.
Here, A T denotes the transpose of the matrix A, and (A T A −1 is the matrix inverse of A T A. Once best-fit values (x ¯ c, y ¯ c, α ¯ ) are obtained, the best fit curvature κ ¯ can be computed by its relation to z ¯ : κ ¯ = (α ¯ + x ¯ c 2 + y ¯ c 2 ) − 1.
Hence, the intrinsic, negative curvature of the FtsA FtsZ filaments fits the curvature of the membrane on the inside.
The center of the humeral head was estimated as the center of a circle fitted to curvature of the head by the least squares method (Fig. 1d).
The current label is designed to stick to the back of paintings, but custom tags will later be developed to fit the curvature of sculptures, for example, or be woven into tapestries with nanofibers.
Bar domains bind to curved membranes by forming crescent-shaped dimers that fit the curvature.
