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Optimal 3-D Reconstruction from Multiple Images by Means of Orthogonal Projection in High-dimensional Spaces

Research Project

Project/Area Number 21500172
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Perception information processing/Intelligent robotics
Research InstitutionOkayama University

Principal Investigator

KANATANI Kenichi  岡山大学, 大学院・自然科学研究科, 教授 (60125838)

Co-Investigator(Kenkyū-buntansha) NIITSUMA Hirotaka  岡山大学, 大学院・自然科学研究科, 助教 (60452562)
Co-Investigator(Renkei-kenkyūsha) SUGAYA Yasuyuki  豊橋技術科学大学, 工学部, 准教授 (00335580)
Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords幾何学的推定 / 最適化手法 / 最尤推定 / 超精度最小二乗法 / 超精度くりこみ法 / 3次元形状復元 / 楕円当てはめ / カメラ校正 / 回転推定 / 相似変換推定 / ガウス・ニュートン法 / ガウス・ヘルマート法 / GPSデータ解析 / 最適計算 / 三角測量 / ハンドル調整 / 魚眼レンズカメラ / 基礎行列 / 射影変換 / パノラマ画像
Research Abstract

We have established a high-accuracy method for reconstructing 3-D shapes from multiple images by means of orthogonal projection. As byproducts, many new optimization techniques have been discovered for computing geometric properties from noisy data, including an iterative technique for exact maximum likelihood computation, high-accuracy non-iterative "hyper-least squares", and "hyper-renormalization" with higher accuracy than maximum likelihood.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (104 results)

All 2012 2011 2010 2009 Other

All Journal Article (39 results) (of which Peer Reviewed: 16 results) Presentation (61 results) Book (3 results) Remarks (1 results)

  • [Journal Article] Optimal computation of 3-D similarity : Gauss-Newton vs. Gauss-Helmert2012

    • Author(s)
      K. Kanatani and H. Niitsuma
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.46 Pages: 21-23

    • Related Report
      2011 Final Research Report
  • [Journal Article] Calibration of ultra-wide fisheye lens cameras by eigenvalue minimization2012

    • Author(s)
      K. Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.46 Pages: 10-20

    • Related Report
      2011 Final Research Report
  • [Journal Article] Optimal computation of 3-D similarity from space data with inhomogeneous noise distributions2012

    • Author(s)
      K. Kanatani and H. Niitsuma
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.46 Pages: 1-9

    • NAID

      110007891095

    • Related Report
      2011 Final Research Report
  • [Journal Article] Optimal computation of 3-D similarity from space data with inhomogeneous noise distributions2012

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University

      Volume: 46 Pages: 1-9

    • NAID

      110007891095

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Calibration of ultra-wide fisheye lens cameras by eigenvalue minimization2012

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University

      Volume: 46 Pages: 10-20

    • Related Report
      2011 Annual Research Report
  • [Journal Article] Optimal computation of 3-D similarity: Gauss-Newton vs.Gauss-Helmert2012

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University

      Volume: 46 Pages: 21-23

    • Related Report
      2011 Annual Research Report
  • [Journal Article] HyperLS and its applications2011

    • Author(s)
      K. Kanatani, P. Rangarajan, Y. Sugaya and H. Niitsuma
    • Journal Title

      IPSJ Transactions on Computer Vision and Applications

      Volume: Vol.3 Pages: 80-94

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimal two-view planar triangulation2011

    • Author(s)
      K. Kanatani and H. Niitsuma
    • Journal Title

      IPSJ Transactions on Computer Vision and Applications

      Volume: Vol.3 Pages: 67-79

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hyper least squares fitting of circles and ellipses2011

    • Author(s)
      K. Kanatani and P. Rangarajan
    • Journal Title

      Computational Statistics and Data Analysis

      Volume: Vol.55, No.6 Pages: 2197-2208

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Hyper least squares and its applications2011

    • Author(s)
      K. Kanatani, P. Rangarajan, Y. Sugaya and H. Niitsuma
    • Journal Title

      Memoirs of the Facultyof Engineering

      Volume: Vol.45 Pages: 20-31

    • NAID

      120002905952

    • Related Report
      2011 Final Research Report
  • [Journal Article] Optimal computation of 3-D rotation under inhomogeneous anisotropic noise2011

    • Author(s)
      K. Kanatani and H. Niitsuma
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.45 Pages: 10-19

    • Related Report
      2011 Final Research Report
  • [Journal Article] Bundle adjustment for 3-D reconstruction : Implementation and evaluation2011

    • Author(s)
      K. Kanatani and Y. Sugaya
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.45 Pages: 1-9

    • NAID

      40018272041

    • Related Report
      2011 Final Research Report
  • [Journal Article] Hyper least squares fitting of circles and ellipses2011

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Computational Statistics and Data Analysis

      Volume: 55 Issue: 6 Pages: 2197-2208

    • DOI

      10.1016/j.csda.2010.12.012

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal Two-View Planar Scene Triangulation2011

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      IPSJ Transactions on Computer Vision and Applications

      Volume: 3 Pages: 67-79

    • DOI

      10.2197/ipsjtcva.3.67

    • NAID

      130000968874

    • ISSN
      1882-6695
    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] HyperLS for Parameter Estimation in Geometric Fitting2011

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      IPSJ Transactions on Computer Vision and Applications

      Volume: 3 Pages: 80-94

    • DOI

      10.2197/ipsjtcva.3.80

    • NAID

      130001087408

    • ISSN
      1882-6695
    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bundle adjustment for 3-D reconstruction : Implementation and evaluation2011

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University

      Volume: 45 Pages: 1-9

    • NAID

      40018272041

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Optimal computation of 3-D rotation under inhomogeneous anisotropic noise2011

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University

      Volume: 45 Pages: 10-19

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Hyper least squares and its applications2011

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University

      Volume: 45 Pages: 20-31

    • NAID

      120002905952

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Optimization without search : Constraint satisfaction by orthogonal projection with applications to multiview triangulation2010

    • Author(s)
      K. Kanatani, Y. Sugaya and H. Niitsuma
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: Vol.E93-D, No.10 Pages: 2836-2845

    • NAID

      120002309124

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Unified computation of strict maximum likelihood for geometric fitting2010

    • Author(s)
      K. Kanatani and Y. Sugaya
    • Journal Title

      Journal of Mathematical Imaging and Vision

      Volume: Vol.38, No.1 Pages: 1-13

    • NAID

      110006969323

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Compact fundamental matrix computation2010

    • Author(s)
      K. Kanatani and Y. Sugaya
    • Journal Title

      IPSJ Transactions on Computer Vision and Applications

      Volume: Vol.2 Pages: 59-70

    • NAID

      130000251524

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometric BIC2010

    • Author(s)
      K. Kanatani
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: Vol.E93-D, No.1 Pages: 144-151

    • NAID

      110006623605

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] High accuracy homography computation without iterations2010

    • Author(s)
      K. Kanatani, H. Niitsuma, and P. Rangarajan
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.44 Pages: 50-59

    • NAID

      110007991154

    • Related Report
      2011 Final Research Report
  • [Journal Article] Hyperaccurate ellipse fitting without iterations2010

    • Author(s)
      K. Kanatani and P. Rangarajan
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.44 Pages: 42-49

    • NAID

      120002309054

    • Related Report
      2011 Final Research Report
  • [Journal Article] Optimization without Search : Constraint Satisfaction by Orthogonal Projection with Applications to Multiview Triangulation2010

    • Author(s)
      K. Kanatani, H. Niitsuma, and Y. Sugaya
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.44 Pages: 32-41

    • NAID

      120002309124

    • Related Report
      2011 Final Research Report
  • [Journal Article] Improved multistage learning for multibody motion segmentation2010

    • Author(s)
      K. Kanatani and Y. Sugaya
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.44 Pages: 24-31

    • NAID

      120002309159

    • Related Report
      2011 Final Research Report
  • [Journal Article] Unified computation of strict maximum likelihood for geometric fitting2010

    • Author(s)
      K. Kanatani and Y. Sugaya
    • Journal Title

      Memoirs of the Faculty of Engineering

      Volume: Vol.44 Pages: 13-23

    • NAID

      110006969323

    • Related Report
      2011 Final Research Report
  • [Journal Article] Unified computation of strict maximum likelihood for geometric fitting2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Journal of Mathematical Imaging and Vision

      Volume: 38 Pages: 1-13

    • NAID

      110006969323

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimization without search : Constraint satisfaction by orthogonal projection with applications to multiview triangulation2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      IEICE Transactions on Information and Syst

      Volume: E93-D Pages: 2836-2845

    • NAID

      120002309124

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Unified Computation of Strict Maximum Likelihood for Geometric Fitting2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University 44

      Pages: 13-23

    • NAID

      110006969323

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Improved multistage learning for multibody motion segmentation2010

    • Author(s)
      Kenichi Kanatani, Y.Sugaya,
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University 44

      Pages: 24-31

    • NAID

      120002309159

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Optimization without Search : Constraint Satisfaction by Orthogonal Projection with Applications to Multiview2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University 44

      Pages: 32-41

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Hyperaccurate ellipse fitting without iterations2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University 44

      Pages: 42-49

    • NAID

      120002309054

    • Related Report
      2009 Annual Research Report
  • [Journal Article] High accuracy homography computation without iterations2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      Memoirs of the Faculty of Engineering, Okayama University 44

      Pages: 50-59

    • NAID

      120002308986

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Geometric BIC2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      IEICE Transactions on Information and Systems E93-D・1

      Pages: 144-151

    • NAID

      110006623605

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Compact fundamental matrix computation2010

    • Author(s)
      Kenichi Kanatani
    • Journal Title

      IPSJ Transactions on Computer Vision and Applications 2

      Pages: 59-70

    • NAID

      130000251524

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Improved algebraic methods for circle fitting2009

    • Author(s)
      P. Rangarajan and K. Kanatani
    • Journal Title

      Electronic Journal of Statistics

      Volume: Vol.3 Pages: 1075-1082

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] Improved algebraic methods for circle fitting2009

    • Author(s)
      Prasanna Rangarajan
    • Journal Title

      Electronic Journal of Statistics 3

      Pages: 75-1082

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article]2009

    • Author(s)
      広中平祐
    • Journal Title

      数理科学事典, 第2版(丸善)

      Pages: 1062-1068

    • Related Report
      2009 Annual Research Report
  • [Presentation] 超精度くりこみ法:複数拘束2012

    • Author(s)
      金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東京工業大学(東京)
    • Year and Date
      2012-03-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] 基礎行列と射影変換の計算精度の比較:最小二乗法から超精度くりこみ法まで2012

    • Author(s)
      菅谷保之
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東京工業大学(東京)
    • Year and Date
      2012-03-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] 幾何学的推定のための最適化手法:最小化を越えて2012

    • Author(s)
      金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東京工業大学(東京)(招待講演)
    • Year and Date
      2012-03-16
    • Related Report
      2011 Annual Research Report
  • [Presentation] 超精度くりこみ法2012

    • Author(s)
      金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      大阪電気通信大学(大阪市)
    • Year and Date
      2012-01-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] 楕円当てはめの精度比較:最小二乗法から超精度くりこみ法まで2012

    • Author(s)
      横田健太
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      大阪電気通信大学(大阪市)
    • Year and Date
      2012-01-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] Kinectを用いた動作解析システムの構築2011

    • Author(s)
      横田健太, 中原龍一, 有本尚也, 本田卓士, 丸茂哲平, 金澤智子, 橋詰謙三, 西田圭一郎, 築山尚司, 樫山佳美, 金谷健一, 千田益生, 尾崎敏文
    • Organizer
      第33回中国四国リハビリテーション医学研究会
    • Place of Presentation
      Okayama, Japan
    • Year and Date
      2011-12-04
    • Related Report
      2011 Final Research Report
  • [Presentation] Kinectを用いた動作解析システムの構築2011

    • Author(s)
      横田健太
    • Organizer
      第33回中国四国リハビリテーション医学研究会
    • Place of Presentation
      岡山コンベンションセンター(岡山市)
    • Year and Date
      2011-12-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] Optimal estimation for computer vision applications2011

    • Author(s)
      K. Kanatani
    • Organizer
      Winter School for Young researchers on Mathematical Aspects of Image Processing and Computer Vision
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2011-11-26
    • Related Report
      2011 Final Research Report
  • [Presentation] Optimal estimation for computer vision applications2011

    • Author(s)
      Kenichi Kanatani
    • Organizer
      Winter School for Young researchers on Mathematical Aspects of Image Processing and Computer Vision
    • Place of Presentation
      東北大学(仙台市)(招待講演)
    • Year and Date
      2011-11-26
    • Related Report
      2011 Annual Research Report
  • [Presentation] 3次元相似変換の最適化計算:ガウス・ニュートン法vs.ガウス・ヘルマート法2011

    • Author(s)
      本田卓士
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      筑波大学(つくば市)
    • Year and Date
      2011-11-17
    • Related Report
      2011 Annual Research Report
  • [Presentation] 超広角魚眼レンズカメラの固有値最小化法による校正2011

    • Author(s)
      丸茂哲平, 中村遼平, 金谷健一
    • Organizer
      第16回パターン計測シンポジウム
    • Place of Presentation
      Gifu, Japan
    • Year and Date
      2011-11-05
    • Related Report
      2011 Final Research Report
  • [Presentation] 超広角魚眼レンズカメラの固有値最小化法による校正2011

    • Author(s)
      丸茂哲平
    • Organizer
      第16回パターン計測シンポジウム
    • Place of Presentation
      長良川観光ホテル石金(岐阜市)
    • Year and Date
      2011-11-05
    • Related Report
      2011 Annual Research Report
  • [Presentation] 3次元相似変換の最適化計算:ガウス・ニュートン法vs.ガウス・ヘルマート法2011

    • Author(s)
      本田卓士, 新妻弘崇, 金谷健一
    • Organizer
      第16回パターン計測シンポジウム
    • Place of Presentation
      Gifu, Japan
    • Year and Date
      2011-11-04
    • Related Report
      2011 Final Research Report
  • [Presentation] 3次元相似変換の最適化計算:ガウス・ニュートン法vs.ガウス・ヘルマート法2011

    • Author(s)
      本田卓士
    • Organizer
      第16回パターン計測シンポジウム
    • Place of Presentation
      長良川観光ホテル石金(岐阜市)
    • Year and Date
      2011-11-04
    • Related Report
      2011 Annual Research Report
  • [Presentation] Optimal computation of 3-D rotation under inhomogeneous anisotropic noise2011

    • Author(s)
      H. Niitsuma and K. Kanatani
    • Organizer
      12th IAPR Conference on Machine Vision Applications
    • Place of Presentation
      Nara, Japan
    • Year and Date
      2011-06-13
    • Related Report
      2011 Final Research Report
  • [Presentation] Optimal computation of 3-D rotation under inhomogeneous anisotropic noise2011

    • Author(s)
      Hirotaka Niitsuma
    • Organizer
      12th IAPR Conference on Machine Vision Applications
    • Place of Presentation
      なら100年会館(奈良市)
    • Year and Date
      2011-06-13
    • Related Report
      2011 Annual Research Report
  • [Presentation] Optimal computation of 3-D similiarity from space data with inhomogeneous noise distributions2011

    • Author(s)
      H. Niitsuma and K. Kanatani
    • Organizer
      第17回画像センシングシンポジウム
    • Place of Presentation
      Yokohama, Japan
    • Year and Date
      2011-06-10
    • Related Report
      2011 Final Research Report
  • [Presentation] Implementation and evaluation of bundle adjustment for 3-Dreconstruction2011

    • Author(s)
      K. Kanatani and Y. Sugaya
    • Organizer
      第17回画像センシングシンポジウム
    • Place of Presentation
      Yokohama, Japan
    • Year and Date
      2011-06-10
    • Related Report
      2011 Final Research Report
  • [Presentation] High accuracy calibration of ultra-wide fisheye lens camera by eigenvalue minimization2011

    • Author(s)
      R. Nakamura, T. Marumo and K. Kanatani
    • Organizer
      第17回画像センシングシンポジウム
    • Place of Presentation
      Yokohama, Japan
    • Year and Date
      2011-06-10
    • Related Report
      2011 Final Research Report
  • [Presentation] High accuracy calibration of ultra-wide fisheye lens camera by eigenvalue minimization2011

    • Author(s)
      Ryotaro Nakamura
    • Organizer
      第17回画像センシングシンポジウム
    • Place of Presentation
      パシフィコ横浜(横浜市)
    • Year and Date
      2011-06-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Implementation and evaluation of bundle adjustment for 3-D reconstruction2011

    • Author(s)
      Kenichi, Kanatani
    • Organizer
      第17回画像センシングシンポジウム
    • Place of Presentation
      パシフィコ横浜(横浜市)
    • Year and Date
      2011-06-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] Optimal computation of 3-D similiarity from space data with inhomogeneous noise distributions2011

    • Author(s)
      Hirotaka Niitsuma
    • Organizer
      第17回画像センシングシンポジウム
    • Place of Presentation
      パシフィコ横浜(横浜市)
    • Year and Date
      2011-06-10
    • Related Report
      2011 Annual Research Report
  • [Presentation] 帯状パタンによる魚眼レンズカメラの高精度な校正2011

    • Author(s)
      森安亮太, 中村遼平, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2011-05-19
    • Related Report
      2011 Final Research Report
  • [Presentation] 不均一な誤差分布をもつ空間データからの3次元相似変換の最適計算2011

    • Author(s)
      原裕貴, 新妻弘崇, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Osaka, Japan
    • Year and Date
      2011-05-19
    • Related Report
      2011 Final Research Report
  • [Presentation] 不均一な誤差分布をもつ空間データからの3次元回転の最適計算2011

    • Author(s)
      原裕貴
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東京工業大学(東京)
    • Year and Date
      2011-03-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] 帯状パタンによる魚眼レンズカメラの高精度な校正2011

    • Author(s)
      森安亮太
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東京工業大学(東京)
    • Year and Date
      2011-03-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] 不均一な誤差分布をもつ空間データからの3次元回転の最適計算2011

    • Author(s)
      原裕貴, 新妻弘崇, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Kusatsu, Shiga, Japan
    • Year and Date
      2011-01-20
    • Related Report
      2011 Final Research Report
  • [Presentation] 3次元復元のためのバンドル調整の実装とその評価2011

    • Author(s)
      岩元祐輝, 菅谷保之, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Kusatsu, Shiga, Japan
    • Year and Date
      2011-01-20
    • Related Report
      2011 Final Research Report
  • [Presentation] 3次元復元のためのバンドル調整の実装とその評価2011

    • Author(s)
      岩元祐輝
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      立命館大学(滋賀県草津市)
    • Year and Date
      2011-01-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] 不均一な誤差分布をもつ空間データからの3次元回転の最適計算2011

    • Author(s)
      原裕貴
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      立命館大学(滋賀県草津市)
    • Year and Date
      2011-01-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hyperaccurate least squares and its applications2010

    • Author(s)
      K. Kanatani
    • Organizer
      Symposium on Mathematical Aspects of Image Processing and Computer Vision
    • Place of Presentation
      Sapporo, Japan
    • Year and Date
      2010-11-25
    • Related Report
      2011 Final Research Report
  • [Presentation] Hyperaccurate least squares and its applications2010

    • Author(s)
      Kenichi Kanatani
    • Organizer
      Symposium on Mathematical Aspects of Image Processing and Computer Vision
    • Place of Presentation
      北海道大学(札幌)(招待)
    • Year and Date
      2010-11-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Optimal two-view planar scene triangulation2010

    • Author(s)
      K. Kanatani and H. Niitsuma
    • Organizer
      10th Asian Conference on Computer vision
    • Place of Presentation
      Queenstown, New Zealand
    • Year and Date
      2010-11-10
    • Related Report
      2011 Final Research Report 2010 Annual Research Report
  • [Presentation] Hyperaccurate least squares and its applications2010

    • Author(s)
      K. Kanatani
    • Organizer
      International Conference on Modern Stochastics : Theory and Applications II
    • Place of Presentation
      Kiev, Ukraine
    • Year and Date
      2010-09-09
    • Related Report
      2011 Final Research Report
  • [Presentation] Hyperaccurate least squares and its applications2010

    • Author(s)
      Kenichi Kanatani
    • Organizer
      International Conference on Modern Stochastics : Theory and Applications II
    • Place of Presentation
      Kyiv, Ukraine(招待)
    • Year and Date
      2010-09-09
    • Related Report
      2010 Annual Research Report
  • [Presentation] Hyper least squares and its applications2010

    • Author(s)
      P. Rangarajan, K. Kanatani, H. Niitsuma and Y. Sugaya
    • Organizer
      20th International Conference on Pattern Recognition
    • Place of Presentation
      Istanbul, Turkey
    • Year and Date
      2010-08-23
    • Related Report
      2011 Final Research Report 2010 Annual Research Report
  • [Presentation] High accuracy homography computation without iterations2010

    • Author(s)
      H. Niitsuma, P. Rangarajan and K. Kanatani
    • Organizer
      第16回画像センシングシンポジウム
    • Place of Presentation
      Yokohama, Japan
    • Year and Date
      2010-06-10
    • Related Report
      2011 Final Research Report
  • [Presentation] High accuracy homography computation without iterations2010

    • Author(s)
      Hirotaka Niitsuma
    • Organizer
      第16回画像センシングシンポジウム
    • Place of Presentation
      パシフィコ横浜(横浜市)
    • Year and Date
      2010-06-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] Improved multistage learning for multibody segmentation2010

    • Author(s)
      Y. Sugaya and K. Kanatani
    • Organizer
      5th International Conference on Computer Vision Theory and Applications
    • Place of Presentation
      Angers, France
    • Year and Date
      2010-05-19
    • Related Report
      2011 Final Research Report 2010 Annual Research Report
  • [Presentation] Hyperaccurate algebraic ellipse fitting without iterations2010

    • Author(s)
      K. Kanatani and P. Rangarajan
    • Organizer
      Proceedings of the 5th International Conference on Computer Vision Theory and Applications
    • Place of Presentation
      Angers, France
    • Year and Date
      2010-05-18
    • Related Report
      2011 Final Research Report
  • [Presentation] Hyperaccurate algebraic ellipse fitting without iterations2010

    • Author(s)
      Kenichi Kanatani
    • Organizer
      5th International Conference on Computer Vision Theory and Applications
    • Place of Presentation
      Angers, France
    • Year and Date
      2010-05-18
    • Related Report
      2010 Annual Research Report
  • [Presentation] 平面シーンの最適三角測量2010

    • Author(s)
      矢野直樹, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2010-03-19
    • Related Report
      2011 Final Research Report
  • [Presentation] 超精度最小二乗法とその応用2010

    • Author(s)
      金谷健一, プラサンナ・ランガラヤン, 菅谷保之, 新妻弘崇
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      2010-03-18
    • Related Report
      2011 Final Research Report
  • [Presentation] 平面シーンの最適三角測量2010

    • Author(s)
      矢野直樹
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      電気通信大学(東京)
    • Year and Date
      2010-03-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] 超精度最小二乗法とその応用2010

    • Author(s)
      金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      電気通信大学(東京)
    • Year and Date
      2010-03-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] 反復を用いない射影変換の高精度解法2010

    • Author(s)
      新妻弘崇
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      京都大学(京都市)
    • Year and Date
      2010-01-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] 反復を要しない射影変換の高精度解法2010

    • Author(s)
      新妻弘崇, プラサンナ・ランガラヤン, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2010-01-11
    • Related Report
      2011 Final Research Report
  • [Presentation] 最適な射影変換の新しい計算アルゴリズム2009

    • Author(s)
      新妻弘崇
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      石川県地場産業振興センター(金沢市)
    • Year and Date
      2009-11-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] 最適な射影変換の新しい計算アルゴリズム2009

    • Author(s)
      新妻弘崇, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Kanazawa, Japan
    • Year and Date
      2009-11-17
    • Related Report
      2011 Final Research Report
  • [Presentation] 画像からの3次元復元の最新アルゴリズム2009

    • Author(s)
      山田健人, 金澤靖, 金谷健一, 菅谷保之
    • Organizer
      コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2009-09-01
    • Related Report
      2011 Final Research Report
  • [Presentation] 楕円当てはめの超精度最小二乗法2009

    • Author(s)
      岩元祐輝, プラサンナ・ランガラヤン, 金谷健一
    • Organizer
      コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2009-09-01
    • Related Report
      2011 Final Research Report
  • [Presentation] 楕円当てはめの超精度最小二乗法2009

    • Author(s)
      岩元祐輝
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2009-09-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] 画像からの3次元復元の最新アルゴリズム2009

    • Author(s)
      山田健人
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2009-09-01
    • Related Report
      2009 Annual Research Report
  • [Presentation] 一般主成分分析による複数運動分離の多段階最適化2009

    • Author(s)
      田中慎也, 田中勇桂, 原裕貴, 菅谷保之, 金谷健一
    • Organizer
      コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2009-08-31
    • Related Report
      2011 Final Research Report
  • [Presentation] 一般主成分分析による複数運動分離の多段階最適化2009

    • Author(s)
      田中慎也
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      東北大学(仙台市)
    • Year and Date
      2009-08-31
    • Related Report
      2009 Annual Research Report
  • [Presentation] 幾何学的推定のための最適化手法:最小化を越えて

    • Author(s)
      金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] 基礎行列と射影変換の計算精度の比較:最小二乗法から超精度くりこみ法まで

    • Author(s)
      菅谷保之, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] 精度くりこみ法:複数拘束

    • Author(s)
      金谷健一, アリ・アルシャラドカー, ニコライ・チェルノフ, 菅谷保之
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] 楕円当てはめの精度比較:最小二乗法から超精度くりこみ法まで

    • Author(s)
      横田健太, 村田和洋, 菅谷保之, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Osaka, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] 超精度くりこみ法

    • Author(s)
      金谷健一, アリ・アルシャラドカー, ニコライ・チェルノフ, 菅谷保之
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Osaka, Japan
    • Related Report
      2011 Final Research Report
  • [Presentation] 3次元相似変換の最適化計算:ガウス・ニュートン法vs.ガウス・ヘルマート法

    • Author(s)
      本田卓士, 新妻弘崇, 金谷健一
    • Organizer
      情報処理学会コンピュータビジョンとイメージメディア研究会
    • Place of Presentation
      Tsukuba, Japan
    • Related Report
      2011 Final Research Report
  • [Book] 理数系のための技術英語練習帳-さらなる上達を目指して-2012

    • Author(s)
      金谷健一
    • Total Pages
      265
    • Publisher
      共立
    • Related Report
      2011 Final Research Report
  • [Book] 理数系のための技術英語練習帳-さらなる上達を目指して-2012

    • Author(s)
      金谷健一
    • Total Pages
      265
    • Publisher
      共立出版
    • Related Report
      2011 Annual Research Report
  • [Book] 数値で学ぶ計算と解析2010

    • Author(s)
      金谷健一
    • Total Pages
      205
    • Publisher
      共立出版
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.suri.cs.okayama-u.ac.jp/~kanatani/j/

    • Related Report
      2011 Final Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

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