A fundamental group for digital images

نویسندگان

چکیده

We define a fundamental group for digital images. Namely, we construct functor from images to groups, which closely resembles the ordinary algebraic topology. Our construction differs in several basic ways previously established versions of setting. development gives prominent role subdivision show that our is preserved by subdivision.

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

A FILTERED B-SPLINE MODEL OF SCANNED DIGITAL IMAGES

We present an approach for modeling and filtering digitally scanned images. The digital contour of an image is segmented to identify the linear segments, the nonlinear segments and critical corners. The nonlinear segments are modeled by B-splines. To remove the contour noise, we propose a weighted least q m s model to account for both the fitness of the splines as well as their approximate cur...

متن کامل

Parallelization of Rich Models for Steganalysis of Digital Images using a CUDA-based Approach

There are several different methods to make an efficient strategy for steganalysis of digital images. A very powerful method in this area is rich model consisting of a large number of diverse sub-models in both spatial and transform domain that should be utilized. However, the extraction of a various types of features from an image is so time consuming in some steps, especially for training pha...

متن کامل

Group-oriented and Collusion Secure Fingerprint for Digital Images

Digital fingerprinting is a technique for identifying unauthorized copy and tracing back to its user. The distributor marks each individual copy with a unique fingerprint. The present fingerprinting schemes generally have many difficulties and disadvantages in the case of large-size users. In this paper, we present a new fingerprint scheme which can be used in confidential departments where the...

متن کامل

Presentation 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 کامل

A watermark for digital images

The growth of networked multimedia systems has magnified the need for image copyright protection. One approach used to address this problem is to add an invisible structure to an image that can be used to seal or mark it. These structures are known as digital watermarks. In this paper we describe two techniques for the invisible marking of images. We analyze the robustness of the watermarks wit...

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: Journal of applied and computational topology

سال: 2021

ISSN: ['2367-1726', '2367-1734']

DOI: https://doi.org/10.1007/s41468-021-00067-1