A new two-stage approach for brain image registration is proposed. In the first stage, an active contour algorithm is used to establish a length-preserving, one-to-one mapping between the cortical and the ventricular boundaries in the two images to be registered. This mapping is used in the second step by a two-dimensional transformation which is based on an elastic body deformation. This metho...

We study the norm derivatives in context of Birkhoff–James orthogonality real Banach spaces. As an application this, we obtain a complete characterization left-symmetric points and right-symmetric space terms derivatives. strong $$\ell _1^n$$ _\infty ^n$$ also relation defined by some newly introduced variation orthogonality. further orthogonality, approximate smoothness attainment bounded bili...

Let φ : C2×C2 → C, φ((x1, x2), (y1, y2)) = (x1 −y1) +(x2 −y2). We say that f : R → C preserves distance d ≥ 0 if for each x, y ∈ R φ(x, y) = d implies φ(f(x), f(y)) = d. We prove that if x, y ∈ R and |x − y| = (2 √ 2/3) · ( √ 3) (k, l are non-negative integers) then there exists a finite set {x, y} ⊆ Sxy ⊆ R such that each unit-distance preserving mapping from Sxy to C 2 preserves the distance ...

A mapping α from X = {1, 2, . . . , n} to X is orientation-preserving if the sequence (1α, 2α, . . . , nα) is a cyclic permutation of a nondecreasing sequence (with respect to some total order on X). Orientation-preserving mappings can be thought of as preserving a circular order on X. Two partitions ofX have the same type if they have identical sizes and numbers of classes. Let τ be a partitio...