2000 Fiscal Year Final Research Report Summary
Formulating Digital Halftoning of Continuous-tone Images As Optimization Problem with Analysis of its Computational Complexity
| Project/Area Number |
10680344
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
計算機科学
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| Research Institution | Japan Advance Institute of Science and Technology |
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Principal Investigator |
ASANO Tetsuo Japan Advance Institute of Science and Technology, School of Information Science, Professor, 情報科学研究科, 教授 (90113133)
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| Project Period (FY) |
1998 – 2000
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| Keywords | Algorithm / Optimization problem / Halftoning / Network flow / Computer experiments |
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| Research Abstract |
In this study we have formulated the problem of digital halftoning to convert a continuous-tone image into a binary image as a combinatorial problem and analyzed it inherent computational complexity under some reasonable mathematical criterion. We obtained a conclusion that there is no efficient algorithm for solving the problem. This result is presented in an international conference with high evaluation. To merge theory and practice we have investigated traditional studies and coded most of them for comparison with our new algorithm. We also found that this problem is closely related to the problem of discrepancy and developed an algorithm with its performance guaranteed. We also found a new algorithm for finding an optimal solution under somewhat relaxed criterion based on a network flow algorithm and made experiments on many image data. The results are quite promising.
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