Generalized D-Forms Have No Spurious Creases

Applications of quadratic D-forms to generalized quadratic forms

In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.

Bifurcation Diagrams for the Formation of Wrinkles or Creases in Soft Bilayers

Subject to compression, elastic materials may undergo bifurcation of various kinds. A homogeneous material forms creases, whereas a bilayer consisting of a stiff film and a compliant substrate forms wrinkles. Here, we show several new types of bifurcation behavior for bilayers consisting of films and substrates of comparable elastic moduli. Depending on the ratios of moduli and thicknesses of t...

Robust Crease Detection in Fingerprint Images

In this paper, we study a novel pattern in the fingerprint called crease, a kind of stripes irregularly crossing the normal fingerprint patterns (ridges and valleys). Creases will cause spurious minutiae by using conventional feature detection algorithm, and therefore decrease the recognition rate of fingerprint identification. By representing the crease using a parameterized rectangle, we desi...

Generalized sigma-derivation on Banach algebras

Let $mathcal{A}$ be a Banach algebra and $mathcal{M}$ be a Banach $mathcal{A}$-bimodule. We say that a linear mapping $delta:mathcal{A} rightarrow mathcal{M}$ is a generalized $sigma$-derivation whenever there exists a $sigma$-derivation $d:mathcal{A} rightarrow mathcal{M}$ such that $delta(ab) = delta(a)sigma(b) + sigma(a)d(b)$, for all $a,b in mathcal{A}$. Giving some facts concerning general...

A Fixed Point Theorem in Generalized D-metric Spaces