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Stable Realization of Virtual Reality by Model Selection

Research Project

Project/Area Number 11680377
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

KANATANI Kenichi  Gunma University, Faculty of Engineering, Professor, 工学部, 教授 (60125838)

Co-Investigator(Kenkyū-buntansha) HISAMOTO Hiyoshi  Gunma University, Faculty of Engineering, Assistant Professor, 工学部, 助手 (40323331)
TAKAHASHI Shigeo  Gunma University, Computer Center, Associate Professor, 総合情報処理センター, 助教授 (40292619)
OHTA Naoya  Gunma University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (10270860)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2000: ¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 1999: ¥2,000,000 (Direct Cost: ¥2,000,000)
Keywords3-D reconstruction / geometric model selection / statistical optimization / model selection criterion / virtual studio / moving camera calibration / image mosaicing / optical flow / モザイク生成 / モデル選択 / 幾何学的AIC / 動画像解析 / 3次元復元 / 信頼性評価
Research Abstract

1.3-D reconstruction from images
We have presented a theory for computing the 3-D structure of the scene and objects from images with maximum possible accuracy and evaluating the reliability of the computed solution in quantitative terms. We have demonstrated the effectiveness of our theory by applying it to 3-D reconstruction from two images and 3-D interpretation of optical flow.
We have also shown how to compute the covariance matrices that characterize the accuracy of feature points extracted from images and experimentally confirmed their positive correlation with their reliability evaluation. We have further analyzed the effects of normalization of the absolute position and the scale for describing the reliability of the computed shape. A new technique for displaying curves and surfaces are also proposed.
We have thus given a theoretical foundation to the reliability evaluation of 3-D reconstruction from images.
2.Virtual reality realization by geometric model selectiony
We have derived the "geometric AIC" and the "geometric MDL" as model selection criteria for geometric inference of noisy data extracted from images and given an information-theoretic interpretation. We have applied these criteria to image mosaicing and demonstrated that the image transformation can be stably computed even if the overlaps between captured images are small.
We have also designed an optimal reference pattern for calibrating a moving camera for virtual studio applications and confirmed by simulations and real-image experiments that the degeneracy of camera configuration and statistical fluctuations of the solution can be avoided by incorporating geometric model selection. Furthermore, we have demonstrated by simulations and real-image experiments that the accuracy of separating independent object motions and estimating the number of objects from their motion images can be dramatically improved by introducing geometric model selection.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (34 results)

All Other

All Publications (34 results)

  • [Publications] 太田直哉: "不変量の利用に関する考察とそれに基づく照明不変な画像差分処理"電子情報通信学会論文集. J82-D-II,6. 1009-1017 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 金澤芳之: "解像度によらず位相を保つ曲線と曲面の高速表示"電子情報通信学会論文誌A. J82-A,12. 1853-1861 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Takahashi: "Tolerance constraints for variational design of multiresolution curves and surfaces"International Journal of Shape Modeling. 6,1. 37-63 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 高橋成雄: "多重解像度局所平滑化を用いた細分割曲面設計"情報処理学会論文誌. 41,3. 531-540 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Kanatani: "Fundamental matrix computation from Optical flow:Optimal Computation and reliability evaluation"Journal of Electronic Imaging. 9,2. 194-202 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] I.Fujishiro: "Volume data mining using 3D field topology analysis"IEEE Computer Graphics and Applications. 20,5. 46-51 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 金澤靖: "幾何学的AICによる画像モザイク生成の安定化"電子情報通信学会論文誌A. J83-A,6. 686-693 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 松永力: "平面パターンを用いる移動カメラの校正:最適計算,信頼性評価,および幾何学的AICによる安定化"電子情報通信学会論文誌A. J83-A,6. 694-701 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Kanatani: "Optimal homography computation with a reliability measure"EICE Transactions on Information and Systems. E83-D,7. 1369-1374 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] C.Matsunaga: "Optimal grid pattern for automated camera calibration using corss ratio"EICE Transactions on Fundamentals. E83-A,10. 1921-1928 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Kanazawa: "Fast display of curves and surfaces with correct topology in all resolutions"Electronics and Communications in Japan,Part 3. 84,3. 1853-1861 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Ohbuchi: "Blending shapes by using subdivision surfaces"Computers and Graphics. 25,1(印刷中). (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Ohta: "Illumination invariant image differentiation based on a consideration to processes using invariants (in Japanese)"Transactions of IEICE. Ser.D-II, Vol.J82-D-II, No.6. 1009-1017 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Kanazawa: "Fast display of curves and shapes with correct topology in all resolutions (in Japanese)"Transactions of IEICE. Ser A, Vol.J82-A, No.12. 1853-1861 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Takahashi: "Tolerance constraints for variational design of multiresolution curves and surfaces"International Journal of Shape Modeling. Vol.6, No.1. 37-63 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] S.Takahashi: "Designing subdivision surfaces via multiresolution-based local filtering (in Japanese)"Transactions of Information Processing Society of Japan. Vol.41, No.3. 531-540 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Kanatani: "Fundamental matrix computation from optical flow : Optimal computation and reliability evaluation"Journal of Electronic Imaging. Vol.9, No.2. 194-202 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] I.Fujishiro: "Volume data mining using 3D field topology analysis"IEEE Computer Graphics and Applications. Vol.20, No.5. 46-51 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Kanazawa: "Stabilizing image mosaicing by the geometric AIC (in Japanese)"Transactions of IEICE. Ser.A, Vol.J83-A, No.6. 686-693 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] C.Matsunaga: "Calibration of a moving camera using a planar pattern : Optimal computation, reliability evaluation and stabilization by the geometric. AIC (in Japanese)"Transactions of IEICE. Ser.A, Vol.J83-A, No.6. 694-701 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Kanatani: "Optimal homography computation with a reliability measure"IEICE Transactions on Information and Systems. Vol.E83-D, No.7. 1369-1374 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] C.Matsunaga: "Optimal grid pattern for automated camera calibration using cross ratio"IEICE Transactions on Fundamentals. Vol.E83-A, No.10. 1921-1928 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Kanazawa: "Fast display of curves and shapes with correct topology in all resolutions"Electronics and Communications in Japan. Part 3, Vol.84, No.3. 1853-1861 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] R.Ohbuchi: "Blending shapes by using subdivision surfaces"Computers and Graphics. Vol.25, No.1 (in print). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Kanatani: "Fundamental matrix computation from optical flow: Optimal computation and reliability evaluation"Journal of Electronic Imaging. 9,2. 194-202 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] I.Fujishiro, K.Kanatani, et.al: "Volume data mining using 3D field topology analysis"IEEE Computer Graphics and Applications. 20,5. 46-51 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 金澤靖,金谷健一 他: "幾何学的AICによる画像モザイク生成の安定化"電子情報通信学会論文誌A. J83-A,6. 686-693 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 松永力,金谷健一 他: "平面パタンを用いる移動カメラの校正:最適計算,信頼性評価,および幾何学的AICによる安定化"電子情報通信学会論文誌A. J83-A,6. 694-701 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Kanatani: "Optimal homography computation with a reliability measure"IEICE Transactions on Information and Systems. E83-D,7. 1369-1374 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] C.Matsunaga, K.Kanatani, et.al: "Optimal grid Pattern for antomated camera calibration using cross ratio"IEICE Transactions on Fundamentals. E83-A,10. 1921-1928 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] R.Ohbuchi, K.Kanatani, et.al: "Blending shapes by using subdivision surfaces"Computers and Graphics. 25,1(印刷中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] R.Ohbuchi, K.Kanatani, et.al: "Blending shapes by using subdivision surfaces"Computers and Graphics. 25,1(印刷中). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 金谷 健一: "解像度によらず位相を保つ曲線と曲面の高速表示"電子情報通信学会論文誌A. J82-A-12. 1853-1861 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 太田 直哉: "不変量の利用に関する考察とそれに基づく照明不変な画像差分処理"電子情報通信学会論文誌D. J82-D-II-6. 1009-1017 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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