Regular polygonal complexes in space, II

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Regular Polygonal Complexes in Space, Ii

Regular polygonal complexes in euclidean 3-space E3 are discrete polyhedra-like structures with finite or infinite polygons as faces and with finite graphs as vertex-figures, such that their symmetry groups are transitive on the flags. The present paper and its predecessor describe a complete classification of regular polygonal complexes in E3. In Part I we established basic structural results ...

متن کامل

Regular Polygonal Complexes in Space, I

A polygonal complex in euclidean 3-space E3 is a discrete polyhedron-like structure with finite or infinite polygons as faces and finite graphs as vertex-figures, such that a fixed number r > 2 of faces surround each edge. It is said to be regular if its symmetry group is transitive on the flags. The present paper and its successor describe a complete classification of regular polygonal complex...

متن کامل

Polygonal Decomposition into Singular and Regular Regions

This paper deenes a polygonal decomposition into regular and singular regions, a concept that is useful for skeleton extraction and part analysis. A preference relation is deened among symmetrical trapezoids contained in the polygon, so that a trapezoid can be preferred to other trapezoids. A set of most preferred trapezoids is used to deene regular regions. Regular regions correspond to the on...

متن کامل

Approximation by Bases on Polygonal Complexes

We consider the approximation properties of a class of bases defined on refined polygonal complexes. This class includes many bases used in geometric modeling for surfaces of arbitrary topology, subdivision surfaces in particular. We show that under moderately weak assumptions, the approximation rate of the bases in our class is no worse than the approximation rate of these bases restricted to ...

متن کامل

Thinning on cell complexes from polygonal tilings

This paper provides a theoretical foundation of a thinning method due to Kovalevsky for 2D digital binary images modelled by cell complexes or, equivalently, by Alexandroff T0 topological spaces, whenever these are constructed from polygonal tilings. We analyze the relation between local and global simplicity of cells, and prove their equivalence under certain conditions. For the proof we apply...

متن کامل

ذخیره 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: Transactions of the American Mathematical Society

سال: 2012

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-2012-05684-4