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Applied and Computational Harmonic Analysis

Volumn 8, Issue 3, 2000, Pages 286-292

Interpolatory Subdivision Schemes Induced by Box Splines

(1) Jia, Rong Qing a

a UNIVERSITY OF ALBERTA (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041774266 PISSN: 10635203 EISSN: None Source Type: Journal
DOI: 10.1006/acha.1999.0287 Document Type: Editorial

Times cited : (8)

References (14)

1
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- De Boor, C.¹ Höllig, K.² Riemenschneider, S.³

2
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- Stationary subdivision
- Cavaretta A. S., Dahmen W., Micchelli C. A. Stationary subdivision. Mem. Amer. Math. Soc. 93:1991;453.
- (1991) Mem. Amer. Math. Soc. , vol.93 , pp. 453
- Cavaretta, A.S.¹ Dahmen, W.² Micchelli, C.A.³

3
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- Translates of multivariate splines
- Dahmen W., Micchelli C. A. Translates of multivariate splines. Linear Algebra Appl. 52:1983;217-234.
- (1983) Linear Algebra Appl. , vol.52 , pp. 217-234
- Dahmen, W.¹ Micchelli, C.A.²

4
- 0001180710
- On the local linear independence of translates of a box spline
- Dahmen W., Micchelli C. A. On the local linear independence of translates of a box spline. Studia Math. 82:1985;243-262.
- (1985) Studia Math. , vol.82 , pp. 243-262
- Dahmen, W.¹ Micchelli, C.A.²

5
- 0003833285
- Philadelphia: SIAM
- Daubechies I. Ten Lectures on Wavelets. 1992;SIAM, Philadelphia.
- (1992) Ten Lectures on Wavelets
- Daubechies, I.¹

6
- 34249975165
- Symmetric iterative interpolation processes
- Deslauriers G., Dubuc S. Symmetric iterative interpolation processes. Constr. Approx. 5:1989;49-68.
- (1989) Constr. Approx. , vol.5 , pp. 49-68
- Deslauriers, G.¹ Dubuc, S.²

7
- 0022663198
- Interpolation through an iterative scheme
- Dubuc S. Interpolation through an iterative scheme. J. Math. Anal. Appl. 114:1986;185-204.
- (1986) J. Math. Anal. Appl. , vol.114 , pp. 185-204
- Dubuc, S.¹

8
- 0025438521
- Using parameters to increase smoothness of curves and surfaces generated by subdivision
- Dyn N., Levin D., Micchelli C. A. Using parameters to increase smoothness of curves and surfaces generated by subdivision. Comput. Aided Geometric Design. 7:1990;129-140.
- (1990) Comput. Aided Geometric Design , vol.7 , pp. 129-140
- Dyn, N.¹ Levin, D.² Micchelli, C.A.³

9
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- Multivariate refinement equations and convergence of subdivision schemes
- Han B., Jia R. Q. Multivariate refinement equations and convergence of subdivision schemes. SIAM J. Math. Anal. 29:1998;1177-1199.
- (1998) SIAM J. Math. Anal. , vol.29 , pp. 1177-1199
- Han, B.¹ Jia, R.Q.²

10
- 0000043776
- Optimal interpolatory subdivision schemes in multidimensional spaces
- Han B., Jia R. Q. Optimal interpolatory subdivision schemes in multidimensional spaces. SIAM J. Numer. Anal. 36:1999;105-124.
- (1999) SIAM J. Numer. Anal. , vol.36 , pp. 105-124
- Han, B.¹ Jia, R.Q.²

11
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- Linear independence of translates of a box spline
- Jia R. Q. Linear independence of translates of a box spline. J. Approx. Theory. 40:1984;158-160.
- (1984) J. Approx. Theory , vol.40 , pp. 158-160
- Jia, R.Q.¹

12
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- Local linear independence of the translates of a box spline
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- Jia, R.Q.¹

13
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- Interpolatory subdivision schemes and wavelets
- Micchelli C. A. Interpolatory subdivision schemes and wavelets. J. Approx. Theory. 86:1996;41-71.
- (1996) J. Approx. Theory , vol.86 , pp. 41-71
- Micchelli, C.A.¹

14
- 0001281985
- Multidimensional interpolatory subdivision schemes
- Riemenschneider S. D., Shen Z. W. Multidimensional interpolatory subdivision schemes. SIAM J. Numer. Anal. 34:1997;2357-2381.
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- Riemenschneider, S.D.¹ Shen, Z.W.²

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