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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/4912

Title: How to Color a Checkerboard with a Given Distribution : Matrix Rounding Achieving Low 2×2-Discrepancy
Authors: Asano, Tetsuo
Tokuyama, Takeshi
Issue Date: 2001
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 2223
Start page: 636
End page: 648
DOI: 10.1007/3-540-45678-3_54
Abstract: Motivated by a digital halftoning application to convert a continuous-tone image into a binary image, we discusses how to round a [0, 1]-valued matrix into a {0, 1} binary matrix achieving low discrepancy with respect to the family of all 2×2 square submatrices (or regions). A trivial upper bound of the discrepancy is 2 and the known lower bound is 1. In this paper we shall show how to achieve a new upper bound 5/3 using a new proof technique based on modified graph matching.
Rights: This is the author-created version of Springer, Tetsuo Asano and Takeshi Tokuyama, Lecture Notes in Computer Science, 2223, 2001, 636-648. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/3-540-45678-3_54
URI: http://hdl.handle.net/10119/4912
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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