Fumikazu Tamari

Bio: Fumikazu Tamari is an academic researcher from Fukuoka University of Education. The author has contributed to research in topics: Linear code & Linear programming. The author has an hindex of 9, co-authored 10 publications receiving 341 citations.

INFTY: an integrated OCR system for mathematical documents

Abstract: An integrated OCR system for mathematical documents, called INFTY, is presented. INFTY consists of four procedures, i.e., layout analysis, character recognition, structure analysis of mathematical expressions, and manual error correction. In those procedures, several novel techniques are utilized for better recognition performance. Experimental results on about 500 pages of mathematical documents showed high character recognition rates on both mathematical expressions and ordinary texts, and sufficient performance on the structure analysis of the mathematical expressions.

Construction of Optimal Codes and Optimal Fractional Factorial Designs Using Linear Programming

Abstract: Publisher Summary This chapter describes construction of optimal codes and optimal fractional factorial designs using linear programming. Some theory also discussed. The chapter also discusses the problems and its solution.

Algebraic Geometric Codes: Basic Notions

Abstract: The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc The authors give a unique perspective on the subject Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory There are no prerequisites other than a standard algebra graduate course The first two chapters of the book can serve as an introduction to coding theory and algebraic geometry respectively Special attention is given to the geometry of curves over finite fields in the third chapter Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes

Recognition and retrieval of mathematical expressions

Abstract: Document recognition and retrieval technologies complement one another, providing improved access to increasingly large document collections. While recognition and retrieval of textual information is fairly mature, with wide-spread availability of optical character recognition and text-based search engines, recognition and retrieval of graphics such as images, figures, tables, diagrams, and mathematical expressions are in comparatively early stages of research. This paper surveys the state of the art in recognition and retrieval of mathematical expressions, organized around four key problems in math retrieval (query construction, normalization, indexing, and relevance feedback), and four key problems in math recognition (detecting expressions, detecting and classifying symbols, analyzing symbol layout, and constructing a representation of meaning). Of special interest is the machine learning problem of jointly optimizing the component algorithms in a math recognition system, and developing effective indexing, retrieval and relevance feedback algorithms for math retrieval. Another important open problem is developing user interfaces that seamlessly integrate recognition and retrieval. Activity in these important research areas is increasing, in part because math notation provides an excellent domain for studying problems common to many document and graphics recognition and retrieval applications, and also because mature applications will likely provide substantial benefits for education, research, and mathematical literacy.

Automating tactile graphics translation

Abstract: Access to graphical images (bar charts, diagrams, line graphs, etc.) that are in a tactile form (representation through which content can be accessed by touch) is inadequate for students who are blind and take mathematics, science, and engineering courses. We describe our analysis of the current work practices of tactile graphics specialists who create tactile forms of graphical images. We propose automated means by which to improve the efficiency of current work practices.We describe the implementation of various components of this new automated process, which includes image classification, segmentation, simplification, and layout. We summarize our development of the tactile graphics assistant, which will enable tactile graphics specialists to be more efficient in creating tactile graphics both in batches and individually. We describe our unique team of researchers, practitioners, and student consultants who are blind, all of whom are needed to successfully develop this new way of translating tactile graphics.

Codes and Projective Multisets

Abstract: The paper gives a matrix-free presentation of the correspondence between full-length linear codes and projective multisets. It generalizes the Brouwer-Van Eupen construction that transforms projective codes into two-weight codes. Short proofs of known theorems are obtained. A new notion of self-duality in coding theory is explored.