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Cited by 4 publications
(3 citation statements)
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“…Besides the standard Hermite interpolant, several other quasi-interpolants of the form (20) have been proposed in the literature for Powell-Sabin splines, see [35,40,46]. Truncated hierarchical bases 1 based on Powell-Sabin B-splines have been previously presented in [47], and the local approximation power of the corresponding spaces has been investigated in [48] by exploiting hierarchical Hermite interpolants of the form (22).…”
Section: Remarkmentioning
confidence: 99%
See 1 more Smart Citation
“…Besides the standard Hermite interpolant, several other quasi-interpolants of the form (20) have been proposed in the literature for Powell-Sabin splines, see [35,40,46]. Truncated hierarchical bases 1 based on Powell-Sabin B-splines have been previously presented in [47], and the local approximation power of the corresponding spaces has been investigated in [48] by exploiting hierarchical Hermite interpolants of the form (22).…”
Section: Remarkmentioning
confidence: 99%
“…Note that the truncated hierarchical basis is called quasi-hierarchical basis in[47,48] 2. Basically this means that the spline space contains constants and that an appropriate blossom can be constructed therein.…”
mentioning
confidence: 99%
“…They are both alternative bases for a hierarchical space build on a sequence of nested linear spaces. The notion of quasi-hierachical bases for hierarchical spaces has been introduced in [16,20] and also used in [29,30]. The concept of truncated bases has been described in [13,14].…”
Section: Introductionmentioning
confidence: 99%