  Spline wavelet tight frames of Ron-Shen have been used widely in frame based
image analysis and restorations. However, except for the tight frame property
and the approximation order of the truncated series, there are few other
properties of this family of spline wavelet tight frames to be known. This
paper is to present a few new properties of this family that will provide
further understanding of it and, hopefully, give some indications why it is
efficient in image analysis and restorations. In particular, we present a
recurrence formula of computing generators of higher order spline wavelet tight
frames from the lower order ones. We also represent each generator of spline
wavelet tight frames as certain order of derivative of some univariate box
spline. With this, we further show that each generator of sufficiently high
order spline wavelet tight frames is close to a right order of derivative of a
properly scaled Gaussian function. This leads to the result that the wavelet
system generated by a finitely many consecutive derivatives of a properly
scaled Gaussian function forms a frame whose frame bounds can be almost tight.
