The Catmull-Clark subdivision algorithm consists of an operator that can be decomposed into a refinement and a smoothing operator, where the refinement operator splits each face with m vertices into m quadrilateral subfaces and the smoothing operator replaces each internal vertex with an affine combination of its neighboring vertices and itself. In this paper, we generalize the Catmull-Clark sc...

the relationship between financial ratios and stock return has been studied in many researches and the presence of income smoothing in tehran stock exchange (tse) has been verified. because of importance of financial reports in predicting and decision making process, income smoothing would be a critical factor in this area. in this paper, the income smoothing impact on relationship between fina...

We deal with a class of semilinear parabolic PDEs on the space continuous functions that arise, for example, as Kolmogorov equations associated to infinite-dimensional lifting path-dependent SDEs. investigate existence smooth solutions through their representation via forward–backward stochastic systems, which we provide necessary regularity theory. Because lack smoothing properties operators a...

there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.

No algorithm for unconstrained polygon mesh denoising can beat Laplacian smoothing in simplicity and ease of implementation. In this paper we introduce a new algorithm for polygon meshes smoothing with vertex position and face normal interpolatory constraints composed of two phases. First the face normals are filtered independently of vertex positions. Then the vertex positions are filtered int...

and Applied Analysis 3 The flow u(t) = S(t)g is a continuous semigroup of contractions in H−1(Ω) in this case or in L(Ω), in other situation, and the denoising effect of (6) is due to smoothing effect of S(t) on initial data, a property which is a characteristic to semigroups generated by the nonlinear operators A of the gradient type ∂φ, where φ is a convex and lower semicontinuous function. S...

Shadows may occupy a significant portion of the image mainly in urban scenes. This research has the objective to detect shadows in high resolution orbital images using morphological operators. In order to verify preprocessing contribution in this shadow detection methodology, we have tested the median, morphological, bilateral and mean curvature filters to evaluate which one has the characteris...

CONTENTS Introduction. 0. Pseudodifferential operators and linear PDE. §0.1 The Fourier integral representation and symbol classes §0.2 Schwartz kernels of pseudodifferential operators §0.3 Adjoints and products §0.4 Elliptic operators and parametrices §0.5 L 2 estimates §0.6 Gårding's inequality §0.7 The sharp Gårding inequality §0.8 Hyperbolic evolution equations §0.9 Egorov's theorem §0.10 M...

Using ideas from paracontrolled calculus, we prove local well-posedness of a renormalized version the three-dimensional stochastic nonlinear wave equation with quadratic nonlinearity forced by an additive space-time white noise on periodic domain. There are two new ingredients as compared to parabolic setting. (i) In constructing objects, have carefully exploit dispersion at multilinear level. ...

Extending our previous results for artificial viscosity systems, we show, under suitable spectral hypotheses, that shock wave solutions of compressible Navier–Stokes (cNS) and magnetohydrodynamics (MHD) equations undergo Hopf bifurcation to nearby time-periodic solutions. The main new difficulty associated with physical viscosity and the corresponding absence of parabolic smoothing is the need ...