Spline wavelet

<p>In the <a href="/facts/Mathematics/pxTouaz4">mathematical theory</a> of <a href="/facts/Wavelet/3XcX4uIP">wavelets</a>, a spline wavelet is a wavelet constructed using a <a href="/facts/Spline_function/yafkQtqp">spline function</a>. There are different types of spline wavelets. The interpolatory spline wavelets introduced by C.K. Chui and J.Z. Wang are based on a certain <a href="/facts/Spline_(mathematics)/yafkQtqp">spline</a> <a href="/facts/Interpolation/8PyetX4f">interpolation</a> formula. Though these wavelets are <a href="/facts/Orthogonality/JVIjYPog">orthogonal</a>, they do not have <a href="/facts/Compact_space/d0cgXJH7">compact</a> <a href="/facts/Support_(mathematics)/BTuMGbsb">supports</a>. There is a certain class of wavelets, unique in some sense, constructed using <a href="/facts/B-spline/MLTCWCEd">B-splines</a> and having compact supports.  Even though these wavelets are not orthogonal they have some special properties that  have made them quite popular.  The terminology <i>spline wavelet</i> is sometimes used to refer to the wavelets in this  class of  spline wavelets. These special wavelets are  also called B-spline wavelets and cardinal B-spline wavelets. The Battle-Lemarie wavelets are also wavelets constructed using spline functions.
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Spline wavelet open-in-new

Spline wavelet