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JaLCDOI 10.18926/19960
FullText URL Mem_Fac_Eng_OU_44_60.pdf
Author Nogami, Yasuyuki| Morikawa, Yoshitaka|
Abstract This paper proposes a method for generating a certain composite order ordinary pairing–friendly elliptic curve of embedding degree 3. In detail, the order has two large prime factors such as the modulus of RSA cryptography. The method is based on the property that the order of the target pairing–friendly curve is given by a polynomial as r(X) of degree 2 with respect to the integer variable X. When the bit size of the prime factors is about 500 bits, the proposed method averagely takes about 15 minutes on Core 2 Quad (2.66Hz) for generating one.
Publication Title Memoirs of the Faculty of Engineering, Okayama University
Published Date 2010-01
Volume volume44
Start Page 60
End Page 68
ISSN 1349-6115
language English
File Version publisher
NAID 120002309063
JaLCDOI 10.18926/19959
FullText URL Mem_Fac_Eng_OU_44_50.pdf
Author Kanatani, Kenichi| Niitsuma Hirotaka| Rangrajan Prasanna|
Abstract We present highly accurate least-squares (LS) alternatives to the theoretically optimal maximum likelihood (ML) estimator for homographies between two images. Unlike ML, our estimators are non-iterative and yield solutions even in the presence of large noise. By rigorous error analysis, we derive a “hyperaccurate” estimator which is unbiased up to second order noise terms. Then, we introduce a computational simplification, which we call “Taubin approximation”, without incurring a loss in accuracy. We experimentally demonstrate that our estimators have accuracy surpassing the traditional LS estimator and comparable to the ML estimator.
Publication Title Memoirs of the Faculty of Engineering, Okayama University
Published Date 2010-01
Volume volume44
Start Page 50
End Page 59
ISSN 1349-6115
language English
File Version publisher
NAID 120002308986
JaLCDOI 10.18926/19958
FullText URL Mem_Fac_Eng_OU_44_42.pdf
Author Kanatani, Kenichi| Rangrajan Prasanna|
Abstract This paper presents a new method for fitting an ellipse to a point sequence extracted from images. It is widely known that the best fit is obtained by maximum likelihood. However, it requires iterations, which may not converge in the presence of large noise. Our approach is algebraic distance minimization; no iterations are required. Exploiting the fact that the solution depends on the way the scale is normalized, we analyze the accuracy to high order error terms with the scale normalization weight unspecified and determine it so that the bias is zero up to the second order. We demonstrate by experiments that our method is superior to the Taubin method, also algebraic and known to be highly accurate.
Publication Title Memoirs of the Faculty of Engineering, Okayama University
Published Date 2010-01
Volume volume44
Start Page 42
End Page 49
ISSN 1349-6115
language English
File Version publisher
NAID 120002309054
JaLCDOI 10.18926/19957
FullText URL Mem_Fac_Eng_OU_44_32.pdf
Author Kanatani, Kenichi| Niitsuma Hirotaka| Sugaya Yasuyuki|
Abstract We present an alternative approach to what we call the “standard optimization”, which minimizes a cost function by searching a parameter space. Instead, the input is “orthogonally projected” in the joint input space onto the manifold defined by the “consistency constraint”, which demands that any minimal subset of observations produce the same result. This approach avoids many difficulties encountered in the standard optimization. As typical examples, we apply it to line fitting and multiview triangulation. The latter produces a new algorithm far more efficient than existing methods. We also discuss optimality of our approach.
Publication Title Memoirs of the Faculty of Engineering, Okayama University
Published Date 2010-01
Volume volume44
Start Page 32
End Page 41
ISSN 1349-6115
language English
File Version publisher
NAID 120002309124
JaLCDOI 10.18926/19955
FullText URL Mem_Fac_Eng_OU_44_13.pdf
Author Kanatani, Kenichi| Sugaya Yasuyuki|
Abstract A new numerical scheme is presented for computing strict maximum likelihood (ML) of geometric fitting problems having an implicit constraint. Our approach is orthogonal projection of observations onto a parameterized surface defined by the constraint. Assuming a linearly separable nonlinear constraint, we show that a theoretically global solution can be obtained by iterative Sampson error minimization. Our approach is illustrated by ellipse fitting and fundamental matrix computation. Our method also encompasses optimal correction, computing, e.g., perpendiculars to an ellipse and triangulating stereo images. A detailed discussion is given to technical and practical issues about our approach.
Publication Title Memoirs of the Faculty of Engineering, Okayama University
Published Date 2010-01
Volume volume44
Start Page 13
End Page 23
ISSN 1349-6115
language English
File Version publisher
NAID 120002309170
JaLCDOI 10.18926/19954
FullText URL Mem_Fac_Eng_OU_44_7.pdf
Author Maetani Noriaki| Kurose Tomoyuki| Tsuruta, Kenji|
Abstract The lens effect of acoustic waves in a two-dimensional (2D) phononic crystal is studied by numerical simulation based on the finite-difference time-domain (FDTD) method. We calculate the phonon band structure of 2D phononic crystals, consisting of metal cylinders placed periodically in water. Lens effect is observed by the negative refraction of acoustic waves, which results in refocusing of the waves at the point outside the crystal. To increase the focal intensity, we introduce a 2D phononic crystal shield with a different composition of material, which returns the incident waves back to the lens via the perfect reflection. Also, the dependence on filling fraction of metal in the crystal is studied.
Publication Title Memoirs of the Faculty of Engineering, Okayama University
Published Date 2010-01
Volume volume44
Start Page 7
End Page 12
ISSN 1349-6115
language English
File Version publisher
NAID 120002309019
JaLCDOI 10.18926/19953
FullText URL Mem_Fac_Eng_OU_44_1.pdf
Author Nagai Shinji| Umeda Ryosuke| Tsuruta, Kenji|
Abstract In this paper, we investigate a light-confinement phenomenon in the structure which has triangular latice composed of Double NeGative Metamaterial (DNGM). In geometrical optics consideration, this structure is expected to confine lights completely by sequential refractions in the structure. We demonstrate it by using the two dimensional finite-difference time-domain simulations. We introduce Drude-Lorentz model for dielectric and magnetic dispersion of the material at optical frequencies. We analyze quantitatively the effects of energy loss in the DNGM on the light-confinement efficiency.
Publication Title Memoirs of the Faculty of Engineering, Okayama University
Published Date 2010-01
Volume volume44
Start Page 1
End Page 6
ISSN 1349-6115
language English
File Version publisher
NAID 120002309117
Author Motomizu, Shoji| Hamada, Shoichi| Toei, Kyoji|
Published Date 1983-11-05
Publication Title 分析化学
Volume volume32
Issue issue11
Content Type Journal Article
Author Sawatari, Ikuo| Oshima, Mitsuko| Motomizu, Shoji| Toei, Kyoji|
Published Date 1984-02-05
Publication Title 分析化学
Volume volume33
Issue issue2
Content Type Journal Article
Author Motomizu, Shoji| Mikasa, Hiroshi| Oshima, Mitsuko| Toei, Kyoji|
Published Date 1984-02-05
Publication Title 分析化学
Volume volume33
Issue issue2
Content Type Journal Article
Author Mikasa, Hiroshi| Motomizu, Shoji| Toei, Kyoji|
Published Date 1985-08-05
Publication Title 分析化学
Volume volume34
Issue issue8
Content Type Journal Article
Author Shi, Cheng Rui| Motomizu, Shoji| Toei, Kyoji|
Published Date 1987-03-05
Publication Title 分析化学
Volume volume36
Issue issue3
Content Type Journal Article
FullText URL Ana_Sci_16_1303.pdf
Author Gao, Yunhua| Lee, Kyue-Hyung| Oshima, Mitsuko| Motomizu, Shoji|
Published Date 2000-12-10
Publication Title Analytical Sciences
Volume volume16
Issue issue12
Publisher 日本分析化学会
Start Page 1303
End Page 1308
ISSN 0910-6340
NCID AA10500785
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders 日本分析化学会
File Version publisher
DOI 10.2116/analsci.16.1303
FullText URL Ana_Sci_16_731.pdf
Author Lee Kyue-Hyung| Oshima, Mitsuko| Takayanagi, Toshio| Motomizu, Shoji|
Published Date 2000-07-10
Publication Title Analytical Sciences
Volume volume16
Issue issue7
Publisher 日本分析化学会
Start Page 731
End Page 738
ISSN 0910-6340
NCID AA10500785
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders 日本分析化学会
File Version publisher
DOI 10.2116/analsci.16.731
FullText URL Ana_Sci_17_1285.pdf
Author Oshima, Mitsuko| Wei, Yanlin| Yamamoto, Masaki| Tanaka, Hiroki| Takayanagi, Toshio| Motomizu, Shoji|
Published Date 2001-11-10
Publication Title Analytical Sciences
Volume volume17
Issue issue11
Publisher 日本分析化学会
Start Page 1285
End Page 1290
ISSN 0910-6340
NCID AA10500785
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders 日本分析化学会
File Version publisher
DOI 10.2116/analsci.17.1285
FullText URL Ana_Sci_18_1021.pdf
Author Takayanagi, Toshio| Motomizu, Shoji|
Published Date 2002-09-10
Publication Title Analytical Sciences
Volume volume18
Issue issue9
Publisher 日本分析化学会
Start Page 1021
End Page 1025
ISSN 0910-6340
NCID AA10500785
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders 日本分析化学会
File Version publisher
DOI 10.2116/analsci.18.1021
FullText URL Ana_Sci_18_1141.pdf
Author Tsuboi, Tomonori| Hirano, Yoshio| Shibata, Yoshinori| Motomizu, Shoji|
Published Date 2002-10-10
Publication Title Analytical Sciences
Volume volume18
Issue issue10
Publisher 日本分析化学会
Start Page 1121
End Page 1125
ISSN 0910-6340
NCID AA10500785
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders 日本分析化学会
File Version publisher
DOI 10.2116/analsci.18.1141
FullText URL Ana_Sci_18_1121.pdf
Author Oshita, Koji| Oshima, Mitsuko| Gao, Yun-hua| Lee, Kyue-Hyung| Motomizu, Shoji|
Published Date 2002-10-10
Publication Title Analytical Sciences
Volume volume18
Issue issue10
Publisher 日本分析化学会
Start Page 1121
End Page 1125
ISSN 0910-6340
NCID AA10500785
Content Type Journal Article
language English
OAI-PMH Set 岡山大学
Copyright Holders 日本分析化学会
File Version publisher
DOI 10.2116/analsci.18.1121
Author Motomizu, Shoji|
Published Date 1984-01-05
Publication Title 分析化学
Volume volume33
Issue issue1
Content Type Journal Article
Author Shi, Cheng Rui| Motomizu, Shoji| Toei, Kyoji|
Published Date 1985-10-05
Publication Title 分析化学
Volume volume34
Issue issue10
Content Type Journal Article