| Presentation | 1999/7/22 IFS Coding of Non-Homogeneous Fractal Images Toshimizu ABIKO, Masayuki KAWAMATA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper proposes an encoding algorithm for iterated function system (IFS) coding of non-homogeneous fractal images with unequal probabilities. Moment based encoding algorithms for IFS coding of non-homogeneous fractal images require a solution of simultaneous algebraic equations that are difficult to handle with numerical root-finding methods. The proposed algorithm employs a variable elimination method using Grobner bases with floating point coefficients in order to derive a numerically solvable equation with a single unknown. The algorithm also employs a varying associated-probabilities method for the purpose of decreasing the computational complexity of calculating Grobner bases. An experimental result shows that the computational time for encoding the non-homogeneous fractal image "Curl" (256×256, 256 levels) is 207 sec on a PC with a 233MHz Pentium II processor. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | image coding / fractal / iterated function system / inverse problem / Grobner basis |
| Paper # | CS99-72 |
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| Conference Information | |
| Committee | CS |
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| Conference Date | 1999/7/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Communication Systems (CS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | IFS Coding of Non-Homogeneous Fractal Images |
| Sub Title (in English) | |
| Keyword(1) | image coding |
| Keyword(2) | fractal |
| Keyword(3) | iterated function system |
| Keyword(4) | inverse problem |
| Keyword(5) | Grobner basis |
| 1st Author's Name | Toshimizu ABIKO |
| 1st Author's Affiliation | Graduate School of Engineering, Tohoku University() |
| 2nd Author's Name | Masayuki KAWAMATA |
| 2nd Author's Affiliation | Graduate School of Engineering, Tohoku University |
| Date | 1999/7/22 |
| Paper # | CS99-72 |
| Volume (vol) | vol.99 |
| Number (no) | 200 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |