منابع مشابه
Histograms of Infinitesimal Neighbourhoods
Image analysis methods that use histograms defined over non-zero-sized local neighbourhoods have been proposed [1-4]. To better understand such methods, one can study the histograms of infinitesimal neighbourhoods. In this paper we show how the properties of such histograms can be derived through limit arguments. We show that in many cases the properties of these histograms are given by simple ...
متن کاملBuilding Infinitesimal Neighbourhoods of Varieties
We develop a deformation-type tool for the study of embeddings of a singular variety X . Given a variety X ⊂ Y there is a natural series of schemes X = X0 ⊂ X1 ⊂ X2 . . . ⊂ Y of infinitesimal neighbourhoods of X defined as follows Xn = zero(I n X/Y ). Under certain assumptions, we calculate the obstructions to the existence of infinitesimal neighbourhoods and classify them when they exist.
متن کاملInfinitesimal cubical structure, and higher connections
The purpose of the present note is to experiment with a possible framework for the theory of “higher connections”, as have recently become expedient in string theory; however, our work was not so much to find a framework which fits any existing such theory, but rather to find notions which come most naturally of their own accord. The approach is based on the combinatorics of the “first neighbou...
متن کاملThe Geometric Interpretation of Fröberg-iarrobino Conjectures on Infinitesimal Neighbourhoods of Points in Projective Space
The study of infinitesimal deformations of a variety embedded in projective space requires, at ground level, that of deformation of a collection of points, as specified by a zero-dimensional scheme. Further, basic problems in infinitesimal interpolation correspond directly to the analysis of such schemes. An optimal Hilbert function of a collection of infinitesimal neighbourhoods of points in p...
متن کاملHigher order infinitesimal bending of a class of toroids
In this paper we consider higher order infinitesimal bending of a surface in E3. Sufficient condition for a toroid generated by polygonal meridian to be non-rigid of higher order is given. This work is an extension of the results [1]-[7]. Examples of non-rigid surfaces, with visual presentation of infinitesimal bending are given. AMS Subj. Class.: 53A05, 53C45, 68U05
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 Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7393