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LI Ying, ZHOU Yun-shi
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Abstract: From the B-spline basis in Ⅰ triangular partition , at first, we got a sufficient and necessary condition under which the function belongs to wavelet space; secondly, by means of this condition, we constructed four non-tensor product compactly supported continuous functions with symmetry; furthermore we demonstrated there are three functions whose shifts form Riesz b asis. Therefore we have obtained bivariate non-tensor product prewavelet with c ompactly support and symmetry in Ⅰ triangular partition.
Key words: bivariate prewavelet, compactly support, non-tensor product
LI Ying, ZHOU Yun-shi. Construct method of bivariate non-tensor product prewavelet with compactly support[J].J4, 2004, 42(01): 43-49.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2004/V42/I01/43
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