In digital geometry, objects such as digital straight lines can be considered as equivalent classes of Euclidean straight lines with respect to a digitization process. This paper investigates the analysis of the set of straight lines whose digitization is a given digital straight segment with the help of tools from integral geometry. After a definition of a measure on such sets, we illustrate s...

The digitization of our society changes the way we live, work, learn, communicate, and collaborate. This disruptive change interacts with all information processes and systems that are important business enablers for the context of digitization since years. Our aim is to support flexibility and agile transformations for both business domains and related information technology with more flexible...

Recently, document and photograph digitization from a paper is very important for digital archiving and personal data transmission through the internet. To realize easy and high quality digitization of documents and photographs, we propose a novel digitization method that uses a movie captured by a hand-held camera. In our method, first, 6-DOF(Degree Of Freedom) position and posture parameters ...

1 The authors acknowledge Saint-Petersburg State University for a research grant 2.37.175.2014. Abstract The mediaeval Arabic manuscripts are not only valuable artifacts but they also represent one of the major sources of scholar information in the field of Oriental Studies. This paper discusses the methods of Arabic Manuscripts Digitization. Over the last fifteen years a lot of Arabic manuscri...

We currently witness a massive digitization of domestic materials e.g. photos, music, calendars, recipes, notes, messages. This digitization provides new conditions for how we interact with materials as well as how users shape the ambience of their homes. Observing the qualities of physical materials in the home, the process of digitization risks loosing the qualities of the spatial distributio...

Digital technologies and, especially, the Internet are profoundly reshaping the motion picture industry. Video-on-demand heightens the trend toward digitization and disintermediation. In the short term, the increasing use of digital technologies may result in significant cost reductions throughout the value chain. In the long term, the digitization of film production and distribution may induce...

The first step of physical document analysis system is to digitalize the physical document. Recently number of researcher present numerous techniques that can vary in sensitivity, quality and some more control parameter. This paper presents a three tier framework for physical document digitization and describes an automatic technique for document digitization that can significantly increase the...

In this article, we describe the theoretical foundations of the Ω-arithmetization. This method provides a multi-scale discretization of a continuous function that is a solution of a differential equation. This discretization process is based on the Harthong-Reeb line HRω. The HarthongReeb line is a linear space that is both discrete and continuous. This strange line HRω stems from a nonstandard...

A real-valued function defined on R can sometimes be approximated by a Khalimsky-continuous mapping defined on Z. We elucidate when this can be done and give a construction for the approximation. This approximation can be used to define digital Khalimsky hyperplanes that are topological embeddings of Z into Z. In particular, we consider Khalimsky planes in Z and show that the intersection of tw...

In digital geometry, objects such as digital straight lines can be considered as equivalent classes of Euclidean straight lines with respect to a digitization process. This paper investigates the analysis of the set of straight lines whose digitization is a given digital straight segment with the help of tools from integral geometry. After a definition of a measure on such sets, we illustrate s...