Geodesic
Stable multiresolution analysis on triangles for surface compression
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 224-258
Recently we developed multiscale spaces of piecewise quadratic polynomials on the Powell- $\textcent $###$\sterling $Sabin 6-split of a triangulation relative to arbitrary polygonal domains . These multiscale bases are weakly

$###$

§

$###$

###

$ "! )0!1 $

###

$2 $#\\%(' from the size of the coefficients in the multiscale representation of . This property makes the multiscale basis ) suitable for surface compression. A simple algorithm for compression is proposed and we give an optimal a priori error bound that depends on the smoothness of the input surface and on the number of terms in the compressed approximant.$

Classification : 41A15, 65D07, 65T60, 41A63
Keywords: hierarchical bases, powell-sabin splines, wavelets, stable approximation by splines, surface compression 
@article{ETNA_2006__25__a16,
     author = {Maes,  Jan and Bultheel,  Adhemar},
     title = {Stable multiresolution analysis on triangles for surface compression},
     journal = {Electronic transactions on numerical analysis},
     pages = {224--258},
     year = {2006},
     volume = {25},
     zbl = {1112.65135},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a16/}
}
TY  - JOUR
AU  - Maes,  Jan
AU  - Bultheel,  Adhemar
TI  - Stable multiresolution analysis on triangles for surface compression
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 224
EP  - 258
VL  - 25
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__25__a16/
LA  - en
ID  - ETNA_2006__25__a16
ER  - 
%0 Journal Article
%A Maes,  Jan
%A Bultheel,  Adhemar
%T Stable multiresolution analysis on triangles for surface compression
%J Electronic transactions on numerical analysis
%D 2006
%P 224-258
%V 25
%U http://geodesic.mathdoc.fr/item/ETNA_2006__25__a16/
%G en
%F ETNA_2006__25__a16
Maes,  Jan; Bultheel,  Adhemar. Stable multiresolution analysis on triangles for surface compression. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 224-258. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a16/