| Presentation | 2020-05-14 A New Algorithm for Local Isometric Maps in Riemann Spaces Masashi Shinto, Chao Jinhui, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A psychophysical space is a space of physical stimuli in which the JND (Just-Noticeable-Difference) discrimination threshold data are available everywhere. Important applications of this Riemann space have been found in color science and expression recognition recently. A map between Riemann spaces called isometry or a distance-preserving map played an essential role in these applications. However, algorithms to compute such a map need solution of nonlinear equations which demands a large number of JND threshold data, can only obtain an isometry in a special form, without uniqueness of the solution and difficult to apply to dimensions higher than three. In this paper, we propose a new algorithm to compute a local isometry between Riemann spaces and psychophysical spaces in particular. We only use JND threshold data more than the dimension of the space without Riemann metric tensor by solving a linear equation system which can achieve uniqueness ofthe solution and statistical and numerical stability comparing with the known method. We then apply the proposed algorithm to shown examples for comparison and exchange between expression perceptions of different observers. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Riemann geometry / Riemann metric tensor / Facial expression perception / Isometry |
| Paper # | HCS2020-5,HIP2020-5 |
| Date of Issue | 2020-05-07 (HCS, HIP) |
| Conference Information | |
| Committee | HIP / HCS / HI-SIGCE |
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| Conference Date | 2020/5/14(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Communication Enhancing, Human Communications, and Human Information Processing |
| Chair | Miyuki Kamachi(Kogakuin Univ.) / Masafumi Matsuda(NTT) |
| Vice Chair | Shuichi Sakamoto(Tohoku Univ.) / Yuji Wada(Ritsumeikan Univ.) / Tomoo Inoue(Univ. of Tsukuba) / Yugo Hayashi(Ritsumeikan Univ.) |
| Secretary | Shuichi Sakamoto(NICT) / Yuji Wada(NTT) / Tomoo Inoue(Nagoya Univ.) / Yugo Hayashi(Kanazawa Inst. of Tech.) / (Osaka Electro-Comm. Univ.) |
| Assistant | Atsushi Wada(NICT) / Hidetoshi Kanaya(Ritsumeikan Univ.) / Yuki Yamada(Kyushu Univ.) / Tomoko Kanda(Osaka Inst. of Tech.) / Kazuki Takashima(Tohoku Univ.) / Ken Fujiwara(Osaka Univ. of Economic) / Kazunori Terada(Gifu Univ.) / Atsushi Kimura(Nihon Univ.) / HUANG HUNGHSUAN(Riken) |
| Paper Information | |
| Registration To | Technical Committee on Human Information Processing / Technical Committee on Human Communication Science / Special Interest Group on Communication Enhancement |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A New Algorithm for Local Isometric Maps in Riemann Spaces |
| Sub Title (in English) | |
| Keyword(1) | Riemann geometry |
| Keyword(2) | Riemann metric tensor |
| Keyword(3) | Facial expression perception |
| Keyword(4) | Isometry |
| 1st Author's Name | Masashi Shinto |
| 1st Author's Affiliation | Chuo University(Chuo Univ.) |
| 2nd Author's Name | Chao Jinhui |
| 2nd Author's Affiliation | Chuo University(Chuo Univ.) |
| Date | 2020-05-14 |
| Paper # | HCS2020-5,HIP2020-5 |
| Volume (vol) | vol.120 |
| Number (no) | HCS-16,HIP-17 |
| Page | pp.pp.21-24(HCS), pp.21-24(HIP), |
| #Pages | 4 |
| Date of Issue | 2020-05-07 (HCS, HIP) |