視空間および認知空間の幾何学モデル

• 渡辺 利夫

  慶應義塾大学環境情報学部

書誌事項

タイトル別名

• Geometrical Models of Visual and Cognitive Spaces
• シクウカン オヨビ ニンチ クウカン ノ キカガク モデル

抄録

Two geometrical models (an affine transformation and a projective transformation) were applied as the mapping function between physical space and visual space (or cognitive space). In visual and cognitive spaces, one of geometrical properties is an anisotropic property. Both geometrical models have an advantage to be able to explain the anisotropic property. Based on the four experiments, in all cases, the projective transformation fitted the data better than the affine transformation . As the projective transformation includes the affine transformation as the special case, it is proposed to use projective transformation as the geometrical model of visual space and cognitive space. If the coefficients of x and y of the denominator of the projective transformation are close to 0, the affine transformation will be enough to explain the data. Otherwise，the projective transformation will be recommended.

収録刊行物

• 認知科学

  認知科学 15 (1), 62-74, 2008

  日本認知科学会

キーワード

• 視空間
• 認知空間
• アフィン変換
• 射影変換

詳細情報

• CRID: 1390282679459612672
• NII論文ID: 10021163568
• NII書誌ID: AN1047304X
• DOI: 10.11225/jcss.15.62
• ISSN: 18815995
• ISSN: 13417924
• NDL書誌ID: 9418047
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9418047
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可