[Tex/LaTex] Uniformly spaced line markers

Question

I'm reading line data from file and plotting it. By default, the curve has markers, where are the original data points. The data points are very uneven, but I would like to have evenly distributed line markers.

MWE (unevenly distributed markers, would like to have for example 5 evenly spaced markers over the whole line):

\documentclass[a4paper,12pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\begin{document}
\begin{tikzpicture}
    \begin{axis}
     \addplot[mark=*, blue] coordinates {(1, 1) (2, 1) (3, 1) (5, 1) (8, 1) (16, 1)};
    \end{axis}
\end{tikzpicture}
\end{document}

Any way to accomplish this? Thanks in advance.

Answer 1

If I have understood the question correctly, you want to mark the function with markers independently from the data points. Then a decoration helps:

\documentclass[a4paper,12pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\usetikzlibrary{decorations}
\usetikzlibrary{decorations.markings}

\begin{document}
\begin{tikzpicture}
  \begin{axis}
    \addplot[
      blue,
      postaction={
        decoration={
          markings,
          mark=between positions 0 and 1 step 0.2
               with { \fill circle[radius=2pt]; },
        },
        decorate,
      },
    ]   
      coordinates {(1, 1) (2, 1) (3, 1) (5, 1) (8, 1) (16, 1)};
    \addplot[
      red,
      postaction={
        decoration={
          markings,
          mark=between positions 0 and 1 step 0.04
               with { \fill circle[radius=2pt]; },
        },
        decorate,
      },
      domain=0:16,
      samples=200,
    ]
      ({\x}, {sin(\x*180/pi)+1});
  \end{axis}
\end{tikzpicture}
\end{document}