de Rahm, G., Sur une courbe plane, J. de Math. Pures & Appl. 35 (1956), 25--42. Home/Search Document Not in Database Summary Related Articles Check |
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Piecewise Uniform Subdivision Schemes - Dyn, Gregory, Levin (1991) (1 citation) (Correct)
....each iteration the number of points is roughly doubled in case of curves, and is quadrupled in case of surfaces. Some BSS serve as tools for computing spline curves and surfaces (see [3] 7,8] while other useful schemes introduced in CAGD converge to non standard limits. For example see de Rahm [21], Catmull and Clark [4] Doo and Sabin [12] Dubuc [13] Deslauriers and Dubuc [11] Dyn, Gregory and Levin [15,16,17] The convergence analysis of uniform BSS has been developed considerably in the last few years in a series of works [5] 9,10] 14] 13] 15,17] 18] 19,20] The analysis ....
de Rahm, G., Sur une courbe plane, J. de Math. Pures & Appl. 35 (1956), 25--42.
Wavelets on Irregular Point Sets - Ingrid Daubechies, Igor Guskov.. (1999) (26 citations) (Correct)
....to work on the original grid. a ) 1D Subdivision The main idea behind subdivision is the iteration of upsampling and local averaging to build functions and intricate geometrical shapes. Originally such schemes were studied in computer aided geometric design in the context of corner cutting [14][7] and the construction of piecewise polynomial curves, e.g. the de Casteljau algorithm for BernsteinB ezier curves [13] and algorithms for the iterative generation of splines [31] 1] Later subdivision was studied independently of spline functions [21] 19] 15] 4] 5] 6] and the connection to ....
G. de Rham. Sur une courbe plane. J. Math. Pures Appl., 39:25--42, 1956.
Subdivision Schemes With Non-Negative Masks Converge Always -.. - Melkman (1996) (1 citation) (Correct)
....[2] is devoted to the anal A.A. Melkman Non negative subdivision converges always 2 ysis of general subdivision schemes, as is the review of Dyn [7] Here we focus on subdivision schemes with non negative coefficients, a property possessed by many practical schemes in geometric modeling, 4] [6] [10] This class of schemes has several remarkable properties. For instance, it is shown in [2] that such schemes always converge weakly. Moreover, the strong convergence of such schemes, or lack thereof, does not depend on the actual values of the mask coefficients but rather on the support of ....
G. de Rham, Sur une courbe plane, J. Mathem. pures et appl., 39 (1956) 25--42.
Two-Scale Dilation Equations and the Mean Spectral Radius - Wang (1996) (3 citations) (Correct)
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de Rham, G., Sur une courbe plane, J. Math. Pure Appl. 39 (1956), 25--42.
Problems On Self-Similar Sets And Self-Affine Sets: An Update - Peres, SOLOMYAK (Correct)
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G. de Rham (1956), Sur une Courbe plane. J. Math. Pure Appl. 35, 25-42.
Matrix Subdivision Schemes - Albert Cohen, Nira Dyn, David Levin (1995) (3 citations) (Correct)
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de Rahm, G., Sur une courbe plane, J. de Math. Pures & Appl. 35 (1956), 25-42.
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