With wavelets, a particular feature of the image might be represented using a number of polynomials which approximate the feature contours. The problem with this technique, however, is that the equations become extremely complex unless the operation is constrained to only a small group of pixels....
where 𝑛∈ℕn∈N and the polynomial parameters 𝑝,𝑞∈ℝp,q∈R must fulfill: 𝑝−𝑞>−1p−q>−1, 𝑞>0q>0; similarly, the orthogonality holds for all possible α, p, and q. Here, we have specified the FMP of Definition 1 into harmonic and polynomial versions, co...
On the other hand, it is known that the system of polynomial equations with a Gröbner basis G has a finite number of (complex) solutions if and only if, for each variable x, G contains a polynomial with a leading monomial that is a power of x. Now, all variables 𝑡1t1,𝑡2t2...