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Thanks very much for your helpful advice, which will certainly come in useful!

To get round the problem, I switched from TikZ to Asymptote. The latter seems better suited for displaying surfaces.

Hi, I am plotting three-dimensional surfaces using pgfplots. An example follows.

\documentclass{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.14}


\begin{document}
\begin{tikzpicture}
\begin{axis}[view={20}{10},axis lines=none,xmin=-15, xmax=15,ymin=-15, ymax=15,zmin=-1, zmax=4 ...