\[
% 汎用
\newcommand{\ctext}[1]{\raise0.2ex\hbox{\textcircled{\scriptsize{#1}}}}
% 数学
% 汎用
\DeclarePairedDelimiterX{\parens}[1]{\lparen}{\rparen}{#1}
\DeclarePairedDelimiterX{\braces}[1]{\lbrace}{\rbrace}{#1}
\DeclarePairedDelimiterX{\bracks}[1]{\lbrack}{\rbrack}{#1}
\DeclarePairedDelimiterX{\verts}[1]{|}{|}{#1}
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\newcommand{\field}{\mathbb{F}}
\newcommand{\func}[2]{{#1}\parens*{#2}}
\newcommand{\argmax}{\mathop{\textrm{arg~max}}}
\newcommand{\argmin}{\mathop{\textrm{arg~min}}}
% 集合論
\newcommand{\range}[2]{\braces*{#1,\dotsc,#2}}
\providecommand{\complement}{}\renewcommand{\complement}{\mathrm{c}}
\newcommand{\ind}[2]{\mathbbm{1}_{#1}\parens*{#2}}
\newcommand{\indII}[1]{\mathbbm{1}\braces*{#1}}
% 数論
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\newcommand{\combi}[2]{{_{#1}\mathrm{C}_{#2}}}
\newcommand{\perm}[2]{{_{#1}\mathrm{P}_{#2}}}
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% 解析学
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% 逆三角関数
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% 畳み込み
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% 微分
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% 積分
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% 複素解析
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% ラプラス変換
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% 離散Fourier変換
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% Z変換
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% 線形代数
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% ベクトル
% 単位ベクトル
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% 確率論
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\newcommand{\GammaDist}[2]{\operatorname{Gamma}\parens*{#1,#2}}
\newcommand{\cind}[2]{\ind{#1\left| #2\right.}} %条件付き指示関数
\providecommand{\Pr}{}\renewcommand{\Pr}[1]{\operatorname{Pr}\parens*{#1}}
\newcommand{\cPr}[2]{\operatorname{Pr}\cPrParens{#1}{#2}}
\newcommand{\E}[2]{\operatorname{E}_{#1}\bracks*{#2}}
\newcommand{\cE}[3]{\E{#1}{\left.#2\right|#3}}
\newcommand{\Var}[2]{\operatorname{Var}_{#1}\bracks*{#2}}
\newcommand{\Cov}[2]{\operatorname{Cov}\bracks*{#1,#2}}
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% グラフ理論
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% プログラミング
\newcommand{\plpl}{\mathrel{++}}
\newcommand{\pleq}{\mathrel{+}=}
\newcommand{\asteq}{\mathrel{*}=}
\]
はじめに
4年近く前に数値解析の講義で3次spline補間を教わったが、最近ふと、これを拡張して2次元の閉曲線を描けないか?と思って考えていた。導出とサンプルプログラムが完成したのでここに書いておく。
“3次spline補間と閉曲線への応用” の続きを読む