Reconstructing rational functions with FireFly
نویسندگان
چکیده
منابع مشابه
Reconstructing Illumination Functions with Selected Discontinuities
Typical illumination functions contain boundaries that are discontinuous in intensity or derivative. These discontinuities arise from contact between surfaces, and from the penumbra and umbra boundaries of shadows cast by area light sources. In this paper, we present an algorithm that allows for smooth (C) reconstruction of intensity everywhere across a surface except along selected edges of in...
متن کاملCounting with rational generating functions
We examine two different ways of encoding a counting function, as a rational generating function and explicitly as a function (defined piecewise using the greatest integer function). We prove that, if the degree and number of input variables of the (quasi-polynomial) function are fixed, there is a polynomial time algorithm which converts between the two representations. Examples of such countin...
متن کاملRational Functions with Linear Relations
We find all polynomials f, g, h over a field K such that g and h are linear and f(g(x)) = h(f(x)). We also solve the same problem for rational functions f, g, h, in case the field K is algebraically closed.
متن کاملReconstructing Functions from Random Samples
From a sufficiently large point sample lying on a compact Riemannian submanifold of Euclidean space, one can construct a simplicial complex which is homotopy-equivalent to that manifold with high confidence. We describe a corresponding result for a Lipschitz-continuous function between two such manifolds. That is, we outline the construction of a simplicial map which recovers the induced maps o...
متن کاملWall rational functions and Khrushchev’s formula for orthogonal rational functions
We prove that the Nevalinna-Pick algorithm provides different homeomorphisms between certain topological spaces of measures, analytic functions and sequences of complex numbers. This algorithm also yields a continued fraction expansion of every Schur function, whose approximants are identified. The approximants are quotients of rational functions which can be understood as the rational analogs ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computer Physics Communications
سال: 2020
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2019.106951