Homogeneous Bivariate Decompositions
نویسندگان
چکیده
منابع مشابه
Spectral Decompositions Using One-Homogeneous Functionals
This paper discusses the use of absolutely one-homogeneous regularization functionals in a variational, scale space, and inverse scale space setting to define a nonlinear spectral decomposition of input data. We present several theoretical results that explain the relation between the different definitions. Additionally, results on the orthogonality of the decomposition, a Parsevaltype identity...
متن کاملBivariate truncated powers: Complete intersection decompositions and the spline representation
Cone polynomials, also known as volume polynomials and/or spline polynomials, are the polynomials that appear in the local structure of the truncated powers, hence in the local structure of any derived construction such as box splines, simplex splines, character formulæ and moment maps. We provide a fresh look at bivariate cone polynomials. Two main principles underlie our approach here. The fi...
متن کاملImage Decompositions Using Bounded Variation and Generalized Homogeneous Besov Spaces
This paper is devoted to the decomposition of an image f into u+ v, with u a piecewise-smooth or “cartoon” component, and v an oscillatory component (texture or noise), in a variational approach. Y. Meyer [Y. Meyer, Oscillating Patterns in Image Processing and Nonlinear Evolution Equations, University Lecture Series, vol. 22, Amer. Math. Soc., Providence, RI, 2001] proposed refinements of the t...
متن کاملMotivic decompositions of projective homogeneous varieties and change of coefficients
We prove that under some assumptions on an algebraic group G, indecomposable direct summands of the motive of a projective G-homogeneous variety with coefficients in Fp remain indecomposable if the ring of coefficients is any field of characteristic p. In particular for any projective G-homogeneous variety X, the decomposition of the motive of X in a direct sum of indecomposable motives with co...
متن کاملA fast solver for a bivariate polynomial vector homogeneous interpolation problem
In this paper we present a fast method for solving the following bivariate interpolation problem: Given the interpolation points U ωi V ξ j W for i X I and j X J and the corresponding weights Φi Y j and Ψi Y j, we look for a polynomial vector Z p U x
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: Journal of Symbolic Computation
سال: 1995
ISSN: 0747-7171
DOI: 10.1006/jsco.1995.1024