복잡하고 부드러운 곡선을 그리는 방법

Question

벤딩 하나하나를 매우 부드럽게 만들고 싶습니다. 곡선을 그리는 유일한 기준은 (1,2.5)에서 시작하여 (1,2.75)에서 끝나는 것입니다. 주어진 곡선의 방정식이 없습니다. 나는 그렇게 하지 못했습니다. 도와주세요.

\documentclass[tikz,border=13mm]{standalone}
\usetikzlibrary{arrows.meta,decorations.markings}
\usetikzlibrary{calc}
%\pgfplotsset{ticks=none}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\begin{document}
     \begin{axis}[name=MyAxis,grid=major,grid style=dotted , xmin=0, xmax=12, ymin=0, ymax=5,
          xlabel=$x\rightarrow$, ylabel={$y \rightarrow$}, 
                  %xtick = {0,.3479,1},  xticklabels = {,$x_1$,},
                    %ytick = {0,0.015,0.0414,.4}, yticklabels={,,,},  %yticklabels=\empty,
         scale=1, restrict y to domain=0:5,clip=false]
    \draw  (1,0) -- (1,3);
    \addplot[color=red,smooth,thick,-] coordinates  {
    (1,2.5) (.3,2) (1,.8) (5,0.5) (7,.75) (7.75,1.15) (8.25,1.75)  (8,2.5) (7,3) (5,3.2) (3.75,3.15) (2.5,3) (1,2.75)};
            \end{axis}
\end{tikzpicture}
\end{document}

Answer 1

\draw[color=red] plot [smooth cycle]더 나은 결과를 얻으려면 다음을 수행하십시오 .

\documentclass[tikz,border=13mm]{standalone}
\usetikzlibrary{arrows.meta,decorations.markings}
\usetikzlibrary{calc}
%\pgfplotsset{ticks=none}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\begin{document}
    \begin{tikzpicture}[>=stealth,declare function={f(\x)=(10.5-\x)/(10.5);}]
 \begin{axis}[name=MyAxis,grid=major,grid style=dotted , xmin=0, xmax=12, ymin=0, ymax=5,
          xlabel=$x\rightarrow$, ylabel={$y \rightarrow$}, 
                  %xtick = {0,.3479,1},  xticklabels = {,$x_1$,},
                    %ytick = {0,0.015,0.0414,.4}, yticklabels={,,,},      %yticklabels=\empty,
         scale=1, restrict y to domain=0:5,clip=false]
    \draw  (1,0) -- (1,3);
    \draw[color=red] plot [smooth cycle] coordinates {
(1,2.5) (.3,2) (1,.8) (5,0.5) (7,.75) (7.75,1.15) (8.25,1.75)  (8,2.5) (7,3) (5,3.2) (3.75,3.15) (2.5,3) (1,2.75)};
            \end{axis}
\end{tikzpicture}
\end{document}

Gummi에서 실행된 결과는 다음과 같습니다.

선이 없으면 곡선은 다음과 같습니다.

다음 줄 없이 user1942348이 게시한 원본 코드:

Answer 2

사용 hobby:

\documentclass[tikz,border=13mm]{standalone}
\usetikzlibrary{arrows.meta,decorations.markings}
\usetikzlibrary{calc, hobby}
%\pgfplotsset{ticks=none}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\begin{document}
\begin{tikzpicture}[use Hobby shortcut]
     \begin{axis}[name=MyAxis,grid=major,grid style=dotted , xmin=0, xmax=12, ymin=0, ymax=5,
          xlabel=$x\rightarrow$, ylabel={$y \rightarrow$}, 
                  %xtick = {0,.3479,1},  xticklabels = {,$x_1$,},
                    %ytick = {0,0.015,0.0414,.4}, yticklabels={,,,},  %yticklabels=\empty,
         scale=1, restrict y to domain=0:5,clip=false]
    \draw  (1,0) -- (1,3);
    \draw[red, thick] (1,2.5)..(.3,2)..(1,.8)..(5,0.5)..(7,.75)..(7.75,1.15)..(8.25,1.75)..(8,2.5)..(7,3)..(5,3.2)..(3.75,3.15)..(2.5,3)..(1,2.75);
            \end{axis}
\end{tikzpicture}
\end{document}

편집하다:

코드를 정리하고 더 적은 수의 포인트를 사용하여 곡선을 플롯으로 만들었습니다 \addplot.

\documentclass[tikz,border=1cm]{standalone}
\usetikzlibrary{hobby}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
\begin{tikzpicture}
\begin{axis}[grid=major, grid style=dotted, xmin=0, xmax=12, ymin=0, ymax=5, xlabel=$x\rightarrow$, ylabel={$y \rightarrow$}]
  \draw  (1,0) -- (1,3);
  \addplot[red, thick, smooth, hobby] coordinates  {(1,2.5) (.3,2) (1,.8) (5,0.5) (7,.75) (8.25,1.75) (5,3.2) (1,2.75)};    
\end{axis}
\end{tikzpicture}
\end{document}