Research at IPS In Information Architecture, students design new ways to use information—in everything from media to engineering management. Covering all aspects of telecommunications technology from information sensing to transmission, analysis, and decision-making, Information Architecture instructs students in the theory and application of information and AI technology with the aim of producing graduates with advanced tech skills through research that focuses on industry-academia partnerships. It also helps build a wide range of careers thanks to educational methodology that also considers those who have transferred from fields other than science and technology. Research interests of the teaching staff cover a wide range of the field of information: the Smart & Productive Community Group covers smart industry, community computing, and network intelligence and security; the Artificial Wisdom Group covers neurocomputing, example-based translation and language processing, and data engineering; and the Human & Machine Coexistence Environment Group covers biorobotics and human mechatronics, image media, bioinformation sensing, and optic fiber systems. The labs at IPS have been actively researching these areas, and this lab has been conducting image media research since 2003. Famous book Kaiseki Gairon [“Introduction to Analysis”] (Iwanami Shoten, 1961) written by Teiji Takagi (Professor Emeritus, The University of Tokyo) contains a line about curves: “Curves like this are bothersome.” He was referring to a “space-filling curve,” a single curve that completely fills a two-dimensional plane or higher dimensional region of three or more dimensions. Well-known mathematicians such as G. Peano, D. Hilbert, G. Cantor, and W. Sierpiński have published papers on various types of space-filling curves like the Peano curve, Hilbert curve, and Sierpiński curve since the 1890s. When reading the original papers published over a century ago (they were not written in English: the papers on the Peano and Sierpiński curves are in French and the Hilbert curve in German), it is very interesting to see how the mathematicians produced the curves and their thought process. These curves have been used in a wide range of applied research including data compression, image processing, and information searching. For over 40 years, this lab has been conducting research on the theme of image processing and pattern recognition, and working to develop a unique image processing algorithm that focuses on space-filling curves. In the 1990s the lab conducted a joint research project on curves with the late Maria Petrou (professor at Imperial College London)—a world-famous researcher in image processing and pattern recognition and other fields—in which we researched applications for various curves. Unfortunately, she passed away in 2012, halfway through the project. After that the book Image Processing: Dealing With Texture (Wiley, 2021) was published, in accordance with her wishes. The figure below is a three-dimensional space-filling curve created by D. Hilbert with 3D graphic tools. As you can see, it is a tricky nowhere-differentiable curve. The lab welcome students who are interested in math. Image media is a field of research that came about when considering how curves could benefit society in researching curve theory simply for the love of math. This lab’s keywords are “Just a Curve, But Still Useful!” It is our hope that mathematically tricky curves will be able to benefit society. We continue to be a lab that uses mathematical concepts such as curves to implement technology that is beneficial to society.07Graduate School of Information, Production and Systems, Waseda UniversityInformation Architecture FieldImage Media Lab.(KAMATA Sei-ichiro Lab.)“Just a Curve, But Still Useful!”—Implementing Image Processing Technology into Society
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