Using implicit polynomials for image compression

implicit polynomials (IP) are being used to represent 2D curves and 3D surfaces [1,2,3,5]. The zero-set of a 2D implicit polynomial of the form of p(x,y)= a(1)x(N) + a(2)x(N-1)y +...+ a(r) = 0 can be used to describe data points making up a 2D curve. A similar 3D polynomial p(x,y,z)= 0 describes data points on a 3D surface [2]. in this paper we describe a way to restrict the zero-set of the fitted polynomial so that correct restoration of the data from the polynomial's coefficients will be achieved.