Analysis of Required Quantization Precision for CIE XYZ Signals in Discrete Region

URI http://harp.lib.hiroshima-u.ac.jp/it-hiroshima/metadata/12416
ファイル
タイトル
Analysis of Required Quantization Precision for CIE XYZ Signals in Discrete Region
著者
氏名 古川 功
ヨミ フルカワ イサオ
別名 Isao FURUKAWA
氏名 鈴木 純司
ヨミ スズキ ジュンジ
別名 Junji SUZUKI
キーワード
digital cinema, digital TV, required number of bits, color difference, XYZ signal, CIE 1976 L*a*b*
抄録

 The Digital Cinema Initiative (DCI) in the U.S. has standardized a system for digital cinema in 2005, which digitally processes movies from production to distribution/screening. In the DCI standard, the required number of quantization bits is determined by applying the Barten’s model as a visual model for luminance signals only. However, since most of the actual movies are in color, it lacks sufficient theoretical basis. In this study, we formulate the problem of applying various transformations corresponding to luminance, density, and gamma-corrected values in the discretized domain to the CIE XYZ color space. By using the asymptotic expansion method in the continuous-valued domain to these respective values, we compare the required quantization accuracy with that obtained by the corresponding analysis in discretized domain. The results show that the required number of quantization bits obtained by the analysis in the discretized domain is consistent with the results of computer simulations and the approximations obtained in the continuous-valued domain for the cases of luminance (14 bits), density (12 bits), and gamma-corrected value quantization (11 bits), respectively. The required accuracy of conventional TV signals, which have a smaller signal range than that of digital cinema, is also investigated, and its validity is confirmed by the simulation. The proposed analysis method makes it possible to obtain the required number of quantization bits without time-consuming computer simulations.

掲載雑誌名
広島工業大学紀要. 研究編
56
開始ページ
49
終了ページ
62
出版年月日
2022-03
出版者
広島工業大学
ISSN
1346-9975
NCID
AA11599110
本文言語
英語
資料タイプ
紀要論文
著者版フラグ
権利情報
publisher
区分
it-hiroshima