introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

In this paper, as an application of the inverse problem calculus variations, we investigate two compatibility conditions on spherically symmetric Finsler metrics. By making use these conditions, focus our attention Landsberg We classify all manifolds or Berwald types. For higher dimensions $n\geq 3$, prove that: are either Riemannian their geodesic sprays have a specific formula; regular metric...

We show that the irreducible variety of 4 × 4 × 4 complex valued tensors of border rank at most 4 is the zero set of polynomial equations of degree 5 (the Strassen commutative conditions), of degree 6 (the Landsberg-Manivel polynomials), and of degree 9 (the symmetrization conditions).

We explore the geometric notion of prolongations in the setting of computational algebra, extending results of Landsberg and Manivel which relate prolongations to equations for secant varieties. We also develop methods for computing prolongations which are combinatorial in nature. As an application, we use prolongations to derive a new family of secant equations for the binary symmetric model i...

Let X ⊂ P be an integral and non-degenerate m-dimensional variety defined over R. For any P ∈ P(R) the real X-rank rX,R(P ) is the minimal cardinality of S ⊂ X(R) such that P ∈ 〈S〉. Here we extend to the real case an upper bound for the X-rank due to Landsberg and Teitler.

Isotopic evidence for dead fish maintenance of Florida red tides, with implications for coastal fisheries over both source regions of the West Florida shelf and within downstream waters of the South Atlantic Bight J.J. Walsh *, R.H. Weisberg , J.M. Lenes , F.R. Chen , D.A. Dieterle , L. Zheng , K.L. Carder , G.A. Vargo , J.A. Havens , E. Peebles , D.J. Hollander , R. He , C.A. Heil , B. Mahmoud...

Ultraviolet-B (UV-B) radiation can have a negative impact on the growth and development of plants. Plants tolerant to UV-B alleviate these effects using UV-screening pigments that reduce the penetration of UV-B into mesophyll tissue. Little is known about the relative contribution of specific phenolic compounds to the screening capacity of leaves. The D1 and D2 proteins constituting the photosy...

We designate a region of the alcohol dehydrogenase locus (Adh) of the weedy crucifer, Arabidopsis thaliana, as "hypervariable" on the basis of a comparison of sequences from ecotypes Columbia and Landsberg. We found eight synonymous and two replacement mutations in the first 262 nucleotides of exon 4, and an additional two mutations in the contiguous region of intron 3. The rest of the sequence...