caa a22 4500 465751318 CHVBK 20180323111834.0 cr unu---uuuuu 170327e19900901xx s 000 0 eng 10.1007/BF02262220 doi (NATIONALLICENCE)springer-10.1007/BF02262220 Shape preserving histopolation using rational quadratic splines [Elektronische Daten] [J. Schmidt, W. Heß, Th. Nordheim] Gestalterhaltende Histopolation unter Verwendung von rational-quadratischen Splines In this paper the area true approximation of histograms by rational quadraticC 1-splines is considered under constraints like convexity or monotonicity. For the existence of convex or monotone histosplines sufficient and necessary conditions are derived, which always can be satisfied by choosing the rationality parameters appropriately. Since the mentioned problems are in general not uniquely solvable histo-splines with minimal mean curvature areconstructed. Springer-Verlag, 1990 Convex or monotone area true splines nationallicence sufficient and necessary existence conditions nationallicence construction of splines with minimal mean curvature nationallicence Schmidt J. Department of Mathematics, Technical University of Dresden, Mommsenstrasse, 13, DDR-8027, Dresden, German Democratic Republic aut Heß W. Department of Mathematics, Technical University of Dresden, Mommsenstrasse, 13, DDR-8027, Dresden, German Democratic Republic aut Nordheim Th Department of Mathematics, Technical University of Dresden, Mommsenstrasse, 13, DDR-8027, Dresden, German Democratic Republic aut Computing Springer-Verlag 44/3(1990-09-01), 245-258 0010-485X 44:3<245 1990 44 607 https://doi.org/10.1007/BF02262220 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02262220 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Schmidt J. Department of Mathematics, Technical University of Dresden, Mommsenstrasse, 13, DDR-8027, Dresden, German Democratic Republic aut NATIONALLICENCE 700 1- Heß W. Department of Mathematics, Technical University of Dresden, Mommsenstrasse, 13, DDR-8027, Dresden, German Democratic Republic aut NATIONALLICENCE 700 1- Nordheim Th Department of Mathematics, Technical University of Dresden, Mommsenstrasse, 13, DDR-8027, Dresden, German Democratic Republic aut NATIONALLICENCE 773 0- Computing Springer-Verlag 44/3(1990-09-01), 245-258 0010-485X 44:3<245 1990 44 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer