| Presentation | 2003/5/22 Proposal of Quantization Theorem for Gray Value Digitization Hiroyasu KOSHIMIZU, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A mathematical basis for the digitization of gray value of an image is proposed. This can be called the Oteru-Koshimizu Quantization Theorern(OK-QT), by analog to Shannon the Sampling Theorern(Shannon-ST) for the digitization of the shape of the image. Inspired by the fact that the ST is the reconstruction theorem of the analog image from the discrete image, OK-QT was modeled as the reconstruction theorem of the shape of the probability density function of gray values of the image. This is a novel and unique mathematical basis for the digitization of the gray scale of an image. This paper outlines this theorem and also shows some experimental results to demonstrate its practical applicability. Through this, the OK-QT gives a clue to the mathematical paradigm for the complete basis for digitization, together with Shannon ST. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | image digitization / quantization / sampling / gray scale digitization / spatial digitization / aliasing |
| Paper # | PRMU2003-6 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 2003/5/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Pattern Recognition and Media Understanding (PRMU) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Proposal of Quantization Theorem for Gray Value Digitization |
| Sub Title (in English) | |
| Keyword(1) | image digitization |
| Keyword(2) | quantization |
| Keyword(3) | sampling |
| Keyword(4) | gray scale digitization |
| Keyword(5) | spatial digitization |
| Keyword(6) | aliasing |
| 1st Author's Name | Hiroyasu KOSHIMIZU |
| 1st Author's Affiliation | School of Computer and Cognitive Sciences, Chukyo University() |
| Date | 2003/5/22 |
| Paper # | PRMU2003-6 |
| Volume (vol) | vol.103 |
| Number (no) | 95 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |