COMPUTING THE FUNDAMENTAL GROUP IN DIGITAL SPACES
نویسندگان
چکیده
منابع مشابه
The Fundamental Algebraic Group of Topological Spaces
In the study of topology, we are often interested in understanding and classifying the internal structure of topological spaces. Algebraic topology is the application of abstract algebra to topology in order to further identify the structure of topological spaces by developing a correspondence between topological spaces and certain groups called homotopy groups. In this paper, we will examine t...
متن کاملThe Fundamental Group and Covering Spaces
These notes, from a first course in algebraic topology, introduce the fundamental group and the fundamental groupoid of a topological space and use them to classify covering spaces.
متن کاملComputing Fundamental Group of General 3-Manifold
Fundamental group is one of the most important topological invariants for general manifolds, which can be directly used as manifolds classification. In this work, we provide a series of practical and efficient algorithms to compute fundamental groups for general 3-manifolds based on CW cell decomposition. The input is a tetrahedral mesh, while the output is symbolic representation of its first ...
متن کاملPresentation of the Fundamental Group in Digital Surfaces
As its analogue in the continuous framework, the digital fundamental group represents a major information on the topology of discrete objects. However, the fundamental group is an abstract information and cannot directly be encoded in a computer using its de nition. A classical mathematical way to encode a discrete group is to nd a presentation of this group. In this paper, we construct a prese...
متن کاملQuantum Mechanics on Spaces with Finite Fundamental Group
We consider in general terms dynamical systems with finite-dimensional, nonsimply connected configuration-spaces. The fundamental group is assumed to be finite. We analyze in full detail those ambiguities in the quantization procedure that arise from the non-simply connectedness of the classical configuration space. We define the quantum theory on the universal cover but restrict the algebra of...
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: International Journal of Pattern Recognition and Artificial Intelligence
سال: 2001
ISSN: 0218-0014,1793-6381
DOI: 10.1142/s0218001401001325