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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Tapering (mathematics) ： ウィキペディア英語版 Tapering (mathematics) In mathematics, physics, and theoretical computer graphics, tapering is a kind of shape deformation. Just as an affine transformation, such as scaling or shearing, is a first-order model of shape deformation, there also exist higher-order deformations such as tapering, twisting, and bending. Tapering can be thought of as non-constant scaling by a given tapering function. The resultant deformations can be linear or nonlinear. To create a nonlinear taper, instead of scaling in ''x'' and ''y'' for all ''z'' with constants as in: : $q=\; \backslash begin$ a & 0 & 0 \\ 0 & b & 0 \\ 0 & 0 & 1 \end p, let ''a'' and ''b'' be functions of ''z'' so that: : $q=\; \backslash begin$ a(p_z) & 0 & 0 \\ 0 & b(p_z) & 0 \\ 0 & 0 & 1 \end p. An example of a linear taper is $a(z)\; =\; \backslash alpha\_0\; +\; \backslash alpha\_1z$, and a quadratic taper $a(z)\; =\; \_0\; +\; \_1z\; +\; \_2z^2$. As another example, if the parametric equation of a cube were given by ''ƒ''(''t'') = (''x''(''t''), ''y''(''t''), ''z''(''t'')), a nonlinear taper could be applied so that the cube's volume slowly decreases (or tapers) as the function moves in the positive ''z'' direction. For the given cube, an example of a nonlinear taper along ''z'' would be if, for instance, the function ''T''(''z'') = 1/(''a'' + ''bt'') were applied to the cube's equation such that ''ƒ''(''t'') = (''T''(''z'')''x''(''t''), ''T''(''z'')''y''(''t''), ''T''(''z'')''z''(''t'')), for some real constants ''a'' and ''b''. ==See also== *3D projection 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Tapering (mathematics)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.