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New Development of Statistical Optimization and Model Selection for Motion Image Analysis

Research Project

Project/Area Number 13680432
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Intelligent informatics
Research InstitutionOKAYAMA UNIVERSITY

Principal Investigator

KANATANI Kenichi  Okayama University, Department of Information Technology, Professor, 工学部, 教授 (60125838)

Co-Investigator(Kenkyū-buntansha) SUGAYA Yasuyuki  Okayama University, Department of Information Technology, Assistant Professor, 工学部, 助手 (00335580)
Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥4,200,000 (Direct Cost: ¥4,200,000)
Fiscal Year 2002: ¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2001: ¥2,300,000 (Direct Cost: ¥2,300,000)
Keywords3-D reconstruction / geometric model selection / statistical optimization / gauge theory / multibody motion segmentation / image matching / optical flow / ellipse fitting / 幾何学モデル選択 / ビデオ画像処理 / ロバスト推定 / 幾何学的信頼性評価 / 動画像解析 / モデル選択規準
Research Abstract

1. Statistical theory for 3-D analysis of images
We presented a mathematically consistent theory for modeling statistical properties of image noise for analyzing the accuracy of 3-D reconstruction from images, estimating the covariance matrix from the image gray levels, asymptotically evaluating the accuracy of such analysis, and deriving model selection criteria such as "geometric AIC" and "geometric MDL". We also proposed a "gauge theory" for analyzing how the normalization of the reconstructed shape affects its reliability evaluation.
2. Statistical optimization of 3-D reconstruction from images
We built an optimal system for reconstructing 3-D shape from two images and reconstructing 3-D shape from optical flow. We then evaluated and compared their performance, using real images.
3. Automatic correspondence detection between images
We developed a technique for automatically matching feature points independently detected in two images. This is a ulti-stage technique, iteratively upgrading tentative matches incorporating various global constraints. We applied our technique to image mosaicing of multiple images and 3-D reconstruction of scenes and objects.
4. Separation of moving objects in a video sequence
We developed a technique for detecting moving objects in a video sequence in which objects and, backgrounds are both moving independently. We devised a statistical testing method for automatically removing outlying trajectories and a scheme for automatically selecting most appropriate mathematical conditions fo the motion separation. Using real video images, we confirmed that out method was very effective.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (66 results)

All Other

All Publications (66 results)

  • [Publications] C.Matsunaga: "Calibration of a moving camera using a plapar pattern : Optimal computation, reliability evaluation and stabilization by geometric AIC"Electronics and Communications in Japan, Part3. 84・7. 12-21 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Gauges and gauge transformation for uncertainty description of geometric structure with indeterminacy"IEEE Transactions on Information Theory. 47・5. 2017-2028 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 金谷健一: "未構成カメラによる2画像からの3次元復元とその信頼性評価"情報処理学会論文誌:コンピュータビジョンとイメージメディア. 42・SIG6. 1-8 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 金谷健一: "未構成カメラによるオプティカルフローからの3次元復元とその信頼性評価"電子情報通信学会論文誌D-II. J84-D-II・8. 119-127 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 金谷健一: "幾何学的当てはめにおけるモデル選択"電子情報通信学会論文誌A. J84-A・11. 1385-1393 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Accuracy bounds and optimal computation of robot localization"Machine Vision and Applications. 13・12. 51-60 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 金澤靖: "画像の特徴点の共分散行列は本当に必要か?"電子情報通信学会論文誌A. J85-A・2. 231-239 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kanazawa: "Stabilizing image mosaicing by model selection"3D Structure from Images-SMILE2000, M.Pollefeys, et al.(Eds.). Springer. 35-51 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Model selection for geometric fitting : Geometric AIC and geometric MDL"Memoirs of the Faculty of Engineering, Okayama University. 36・1. 59-77 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Evaluation and selection of models for motion segmentation"Memoirs of the Faculty of Engineering, Okayama University. 36・1. 79-90 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Comparing optimal 3-D reconstruction for finite motion and optical flow"Memoirs of the Faculty of Engineering, Okayama University. 36・1. 91-106 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Automatic detection of circular objects by ellipse growing"Memoirs of the Faculty of Engineering, Okayama University. 36・1. 107-116 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Motion segmentation by subspace separation : Model selection and reliability evaluation"International Journal of Image and Graphics. 2・2. 179-197 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "3-D reconstruction from uncalibrated-camera optical flow and its reliability evaluation"Systems and Computers in Japan. 25・9. 1-10 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 金谷健一: "幾何学的AICと幾何学的MDLの退化検出性能の比較"電子情報通信学会論文誌D-II. J85-D-II・9. 1497-1499 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 岡部光生: "楕円成長法による円形物体の自動検出"電子情報通信学会論文誌D-II. J85-D-II・12. 1823-1831 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "For geometric inference from images, what kind of statistical model is necessary?"Memoirs of the Faculty of Engineering, Okayama University. 37・1. 19-28 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kanazawa: "Robust image matching under a large disparity"Memoirs of the Faculty of Engineering, Okayama University. 37・1. 29-36 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sugaya: "Outlier removal for motion tracking by subspace separation"Memoirs of the Faculty of Engineering, Okayama University. 3・1. 37-44 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sugaya: "Automatic camera model selection for multibody motion segmentation"Memoirs of the Faculty of Engineering, Okayama University. 37・1. 45-54 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kanazawa: "Do we really have to consider covariance matrices for image feature points?"Electronic and Communications in Japan, Part3. 86・1. 1-10 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.V.Mikhalev: "The Concise Handbook of Alegebra"Kluwer Academic Publishers. 618 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Motion segmentation by subspace separation : Model selection and reliability evaluation"International Journal of Image and Graphics. Vol.2, No.2. 179-197 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "3-D reconstruction from uncalibrated-camera optical flow and its reliability evaluation"Systems and Computers in Japan. Vol.25, No.9. 1-10 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] C.Matsunaga et al.: "Calibration of a moving camera using a planar pattern : Optimal computation, reliability evaluation and stabilization by geometric AIC"Electronic Communications in Japan, Part 3 : Fundamental Electronic Science, Vol.84, No.7. 12-21 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "Gauges and gauge transformations for uncertainty description of geometric structure with indeterminacy"IEEE Transactions on Information Theory, Vol.47, No.5. 2017-2028 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "3-D reconstruction from two uncalibrated views and its reliability evaluation (in Japanese)"Transactions of Information Processing Society of Japan : Computer Vision and Image Media, Vol.42, No.SIG6. 1-8 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "3-D reconstruction from uncalibrated-camera optical flow and its reliability evaluation (in Japanese)"Transactions of IEICE, Ser.D-II, Vol.J84-D-II, No.8. 119-127 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Model selection for geometric fitting (in Japanese)"Transactions of IEICE, Ser.A, Vol.J84-A, No.11. 1385-1393 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "Accuracy bounds and optimal computation of robot localization"Machine Vision and Applications, Vol.13, No.12. 51-60 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Kanazawa et al.: "Do we really nave to consider covariance matrices for image feature points? (in Japanese)"Transactions of IEICE, Ser.A, Vol.J85-A, No.2. 231-239 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanazawa et al. M.Pollefeys, et al.(Eds.): "Stabilizing image mosaicing by model selection"3D Structure from Images ・ SMILE, 2000, Springer. 35-51 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Model selection for geometric fitting : Geometric AIC and geometric MDL"Memoirs of the Faculty of Engineering, Okayama University, Vol.36, No.1. 59-77 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Evaluation and selection of models for motion segmentation"Memoirs of the Faculty of Engineering, Okayama University, Vol.36, No.1. 79-90 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "Comparing optimal 3-D reconstruction for finite motion and optical flow"Memoirs of the Faculty of Engineering, Okayama University, Vol.36, No.1. 91-106 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "Automatic detection of circular objects by ellipse growing"Memoirs of the Faculty of Engineering, Okayama University, Vol.36, No.1. 107-116 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani et al.: "Comparing degeneracy detection performance of the geometric AIC and the geometric MDL (in Japanese)"Transactions of IEICE, Ser.D-II, Vol.J85-D-II, No.9. 1497-1499 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M.Okabe et al.: "Automatic detection of circular objects by ellipse growing (in Japanese)"Transactions of IEICE, Ser.D-II, Vol.J85-D-II, No.12. 1823-1831 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "For geometric inference from images, what kind of statistical model is necessary?"Memoirs of the Faculty of Engineering, Okayama University, Vol.37, No.1. 19-28 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanazawa et al.: "Robust image matching under a large disparity"Memoirs of the Faculty of Engineering, Okayama University, Vol.37, No.1. 29-36 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sugaya et al.: "Outlier removal for motion tracking by subspace separation"Memoirs of the Faculty of Engineering, Okayama University, Vol.37, No.1. 37-44 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Sugaya et al.: "Automatic camera model selection for multibody motion segmentation"Memoirs of the Faculty of Engineering, Okayama University, Vol.37, No.1. 45-54 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] A.V.Mikhalev et al.: "The Concise Handbook of Algebra"Kluwer Academic Publishers. 618 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Kanazawa et al.: "Do we really have to consider covariance matrices for image feature points?"Electronic and Communications in Japan, Part 3, Vol.86, No. 1. 1-10 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K.Kanatani: "Motion segmentation by subspace separation : Model selection and reliability evaluation"International Journal of Image and Graphics. 2・2. 179-197 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Kanatani: "3-D reconstruction from uncalibrated-camera optical flow and its reliability evaluation"Systems and Computers in Japan. 25・9. 1-10 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 金谷健一: "幾何学的AICと幾何学的MDLの退化検出性能の比較"電子情報通信学会論文誌D-II. J85-D-II・9. 1497-1499 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 岡部光生: "楕円成長法による円形物体の自動検出"電子情報通信学会論文誌D-II. J85-D-II・12. 1823-1831 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Kanatani: "For geometric inference from images, what kind of statistical model is necessary?"Memoirs of the Faculty of Engineering, Okayama University. 37・1. 19-18 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Kanazawa: "Robust image matching under a large disparity"Memoirs of the Faculty of Engineering, Okayama University. 37・1. 29-36 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Sugaya: "Outlier removal for motion tracking by subspase separation"Memoirs of the Faculty of Engineering, Okayama University. 3・1. 37-44 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Sugaya: "Automatic camera model selection for multibody motion segmentation"Memoirs of the Faculty of Engineering, Okayama University. 37・1. 45-54 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Kanazawa: "Do we really have to consider covariance matrices for image feature points?"Electronic and Communications in Japan, Part3. 86・1. 1-10 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] A.V.Mikhalev: "The Concise Handbook of Algebra"Kiuwer Academic Publishers. 618 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] C.Matsunaga: "Calibration of a moving camera using a plapar pattern : Optimal Computation, reliability evaluation and stabilization by geometric AIC"Electronics and Communications in Japan, Part3 : Fundamental Electronic Science. 84・7. 12-21 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kanatani: "Gauges and gauge transformation for uncertainty description of geometric structure with indeterminacy"IEEE Transactions on Information Theory. 47・5. 2017-2028 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 金谷健一: "未校正カメラによる2画像からの3次元復元とその信頼性評価"情報処理学会論文誌:コンピュータビジョンとイメージメディア. 42・SIG6. 1-8 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 金谷健一: "未校正カメラによるオプティカルフローからの3次元復元とその信頼性評価"電子情報通信学会論文誌D-II. J84-D-II-8. 119-127 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 金谷健一: "幾何学的当てはめにおけるモデル選択"電子情報通信学会論文誌A. J84-A・11. 1385-1393 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kanatani: "Accuracy bounds and optimal computation of robot localization"Machine Vision and Applications. 13・12. 51-60 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 金澤靖: "画像の特徴点の共分散行列は本当に必要か?"電子情報通信学会論文誌A. J85-A・2. 231-239 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kanazawa: "Stabilizing image mosaicing by model selection"3D Structure from Images-SMILE 2000. Springer. 35-51 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kanatani: "Model selection for geometric fitting : Geometric AIC and geometric MDL"Memoirs of the Faculty of Engineering, Okayama University. 36・1. 59-77 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kanatani: "Evaluation and selection of models for motion segmentation"Memories of the Faculty of Engineering, Okayama University. 36・1. 79-90 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kanatani: "Computing Optical 3-D reconstruction for finite motion and optical flow"Memories of the Faculty of Engineering, Okayama University. 36・1. 91-106 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kanatani: "Automatic defection of circular objects by ellipse growing"Memories of the Faculty of Engineering, Okayama University. 36・1. 107-116 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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