def to_linear(self, index=None):
        if index is None:
            n = len(self.index)-1
            index = [self.index[i]*(1.-i/(n-1.))+self.index[i+1]*i/(n-1.) for
                     i in range(n)]
        colors = [self.rgba_floats_tuple(x) for x in index]
        return LinearColormap(colors, index=index,
                              vmin=self.vmin, vmax=self.vmax)