2 Mathematical Preliminaries 3 2.1 Barycentric Coordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Inscribed Centers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Bezier Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Derivatives . . . . . . . . . . ....

An efficient method to segment eyed typhoon from a satellite cloud image is proposed. First, original satellite cloud image is enhanced by gray transform. Second, in order to reduce the computation burden to segment the whole satellite cloud image, single threshold segmentation based on Bezier histogram is implemented to the original satellite cloud image. Some small unrelated cloud masses are ...

A new formula is obtained for the holomorphic bi-differential operators on tube-type domains which are associated to decomposition of tensor product two scalar representations, thus generalizing classical Rankin-Cohen brackets. The involves a family polynomials several variables may be considered as (weak) generalization Jacobi polynomials.

An explicit method to compute algebraic equations of curves constant width and Zindler generated by a family middle hedgehogs is given thanks property Chebyshev polynomials. This extends the methodology used Rabinowitz Martinez-Maure in particular generate full equations, both curves, defined trigonometric polynomials as support functions.

In this paper, we define new families of Generalized Fibonacci polynomials and Lucas develop some elegant properties these families. We also find the relationships between family generalized k-Fibonacci known polynomials. Furthermore, generalizations in matrix representation. Then establish Cassini’s Identities for their Finally, suggest avenues further research.

The family of general Jacobi polynomials P (α,β) n where α, β ∈ C can be characterised by complex (nonhermitian) orthogonality relations (cf. [15]). The special subclass of Jacobi polynomials P (α,β) n where α, β ∈ R are classical and the real orthogonality, quasi-orthogonality as well as related properties, such as the behaviour of the n real zeros, have been well studied. There is another spe...

where U, V are scalar functions defined on R. The model was termed the Cauchy matrix model because of the shape of the coupling term. Similarly to the case of the Hermitean one-matrix models for which the spectral statistics is expressible in terms of appropriate orthogonal polynomials [3], this two-matrix model is solvable with the help of a new family of biorthogonal polynomials named the Cau...

Polynomials appear in many research articles of Philippe Flajolet. Here we concentrate only in papers where polynomials play a crucial role. These involve his studies of the shape of random polynomials over finite fields, the use of these results in the analysis of algorithms for the factorization of polynomials over finite fields, and the relation between the decomposition into irreducibles of...

The Bernoulli–Barnes polynomials are defined as a natural multidimensional extension of 21 the classical Bernoulli polynomials. Many of the properties of the Bernoulli polynomials 22 admit extensions to this new family. A specific expression involving the Bernoulli–Barnes 23 polynomials has recently appeared in the context of self-dual sequences. The work pre24 sented here provides a proof of t...

Abstract We introduce a family of norms on the $n \times n$ complex matrices. These arise from probabilistic framework, and their construction validation involve probability theory, partition combinatorics, trace polynomials in noncommuting variables. As consequence, we obtain generalization Hunter’s positivity theorem for complete homogeneous symmetric polynomials.