| Presentation | 2016-10-27 On an Analysis of Perspective Painting Images by using a Bivariate Fractal Interpolation Surface Kazuya Ozawa, Hiroyuki Yamada, Hideo Nakano, Hideaki Okazaki, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, a lemma and two theorems for a bivariate fractal interpolation surface (BFIS) generated by an iterated function system (IFS) with an individual vertical scaling factor are introduced. Using an affine transformation and the BFIS, a foundation of analysis of perspective painted images, including images from an arbitrary vantage point together with different sfumato effects, is provided. Finally, this analysis of perspective for painted images is applied to the Virgin section of Annunciation by Leonardo da Vinci, and followed by concluding remarks. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Fractal interpolation method of curved surface / Sfumato effect / Analysis of the perspective of the painting image |
| Paper # | CAS2016-49,NLP2016-75 |
| Date of Issue | 2016-10-20 (CAS, NLP) |
| Conference Information | |
| Committee | CAS / NLP |
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| Conference Date | 2016/10/27(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Toshihiko Takahashi(Niigata Univ.) / Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Mitsuru Hiraki(Renesas) / Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Mitsuru Hiraki(Tohoku Univ.) / Masaharu Adachi(Renesas) |
| Assistant | Toshihiro Tachibana(Shonan Inst. of Tech.) / Yohei Nakamura(Hitachi) / Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Circuits and Systems / Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On an Analysis of Perspective Painting Images by using a Bivariate Fractal Interpolation Surface |
| Sub Title (in English) | |
| Keyword(1) | Fractal interpolation method of curved surface |
| Keyword(2) | Sfumato effect |
| Keyword(3) | Analysis of the perspective of the painting image |
| 1st Author's Name | Kazuya Ozawa |
| 1st Author's Affiliation | Shonan Institute of Technology(SIT) |
| 2nd Author's Name | Hiroyuki Yamada |
| 2nd Author's Affiliation | Shonan Institute of Technology(SIT) |
| 3rd Author's Name | Hideo Nakano |
| 3rd Author's Affiliation | Shonan Institute of Technology(SIT) |
| 4th Author's Name | Hideaki Okazaki |
| 4th Author's Affiliation | Shonan Institute of Technology(SIT) |
| Date | 2016-10-27 |
| Paper # | CAS2016-49,NLP2016-75 |
| Volume (vol) | vol.116 |
| Number (no) | CAS-271,NLP-272 |
| Page | pp.pp.61-64(CAS), pp.61-64(NLP), |
| #Pages | 4 |
| Date of Issue | 2016-10-20 (CAS, NLP) |