A Linear Algorithm for Determining Plane Projective Transformations Based on Quadratic Curves
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- Sugimoto Akihiro
- Advanced Research Laboratory, Hitachi, Ltd.
Bibliographic Information
- Other Title
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- 2次曲線に基づいて2次元射影変換を求める線形アルゴリズム
- 2ジ キョクセン ニ キズイテ 2ジゲン シャエイ ヘンカン オ モトメル セ
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Abstract
This paper presents the study on determining a transformation between two projective planes, i.e., a plane projective transformation, based on quadratic curves. For a plane projective transformation, the parameters representing the corresponding pair of quadratic curves satisfy a linear constraint and its coefficients are expressed as the tensor product of the plane projective transformation and itself. We present a linear algorithm for uniquely determining from these coefficients the plane projective transformation up to a scale factor. Our algorithm makes full use of redundant information to determine the plane projective transformation with only linear computation. We can now handle plane projective transformations based on quadratic curves.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 7 (2), 139-154, 1997
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390282680744726656
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- NII Article ID
- 110001883649
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 4236486
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed