We prove the existence of a Gevrey family of invariant curves for analytic reversible mappings under weaker nondegeneracy condition. The index of the Gevrey smoothness of the family could be any number μ > τ 2, where τ > m − 1 is the exponent in the small divisors condition and m is the order of degeneracy of the reversible mappings. Moreover, we obtain a Gevrey normal form of the reversible ma...

Semi-Global Matching (SGM) is a widely-used efficient stereo matching technique. It works well for textured scenes, but fails on untextured slanted surfaces due to its fronto-parallel smoothness assumption. To remedy this problem, we propose a simple extension, termed SGM-P, to utilize precomputed surface orientation priors. Such priors favor different surface slants in different 2D image regio...

This contribution refers to the use of lines of equal light intensity, called isophotes, for detecting irregularities of free form surfaces in car body construction. The isophotes show irregularities of surface smoothness, of the Gaussian curvature and of the distribution of the surface normals. The algorithm described was realized in the CADCAM-system Ogsurf-P, a Volkswagen development for car...

We present a manifold-based surface construction extending the C∞ construction of Ying and Zorin (2004a). Our surfaces allow for pircewise-smooth boundaries, have user-controlled arbitrary degree of smoothness and improved derivative and visual behavior. 2-flexibility of our surface construction is confirmed numerically for a range of local mesh configurations.

This article describes how robust error-kernels can be used as smoothness priors in recovering shape-from-shading (SFS). Conventionally, the smoothness error is added to the data-closeness (or brightness-error) as a quadratic regularizer. This leads to over-smoothing of the recovered needle-map or surface, and the loss of important detail provided by surface discontinuities. To solve this probl...

Various aspects of RPC electrode material, such as surface smoothness, surface UV sensitivity and its resistance to HF attack, have been studied. Based on these studies we can direct our R&D effort to some of the most critical issues related to RPC performance and aging. & 2008 Elsevier B.V. All rights reserved.

In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.