{"product_id":"refinable-functions-von-akwum-onwunta","title":"Refinable Functions","description":"\u003cp\u003eWavelets and  subdivision have developed into  important mathematical tools in such applications as  signal  analysis, digital image  processing, computer-aided geometric design (CAGD),   etc. Underlying the analysis of both wavelets and  subdivision schemes are the issues of existence,  uniqueness, regularity (or smoothness) and  numerical evaluation of a refinable function.  In  fact, any wavelet or  subdivision limit  function is expressible as a linear  combination of the integer shifts of some refinable  function. Consequently, the wavelet or the limit  function naturally inherits the properties of the  associated refinable function. In particular, the  regularity of the refinable function is preserved  by both  the wavelet as well as the subdivision  limit function.  Hence,  the regularity of a  refinable function  substantially  influences the  efficiency of both the  associated  wavelet  decomposition algorithm and the  corresponding  subdivision  scheme. This work  investigates sufficient  conditions that guarantee   the global regularity of a given refinable  function. It will appeal to both academics  and practitioners.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838347172\"\u003e\u003ch3\u003eThe Basic Building Blocks for Wavelets and Subdivision Limit Functions: A Study of Their Regularity\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838347172","offer_id":39498895032413,"sku":"9783838347172","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5ee1955f-a169-45c7-81b2-327329245840.jpg?v=1759207334","url":"https:\/\/shop.autorenwelt.de\/products\/refinable-functions-von-akwum-onwunta","provider":"Autorenwelt Shop","version":"1.0","type":"link"}