i = Import@"https://i.sstatic.net/8I3B1.jpg"
 f[{{tmin_, tmax_}, {rmin_, rmax_}}, ___] := 
 Module[{l = Join[{{0, 0}, {Cos@tmin, Sin@tmin}}, 
 Table[{Cos[t], Sin[t]}, {t, tmin, tmax, (tmax - tmin)/30}], 
 {{Cos@tmax, Sin@tmax}}]}, 
 {Texture[i], EdgeForm[], Polygon[l, VertexTextureCoordinates -> 
 1/2 Transpose[Transpose[l] + {1, 1}]]}]
 Framed@PieChart[{1, 2, 3, 4, 5, 6}, ChartElementFunction -> f]

![Mathematica graphics](https://i.sstatic.net/qFLIr.png)