Multiscale representation for data on the sphere and applications to geopotential data Export

@inproceedings{shahram07multi, abstract = {We develop a wavelet transform on the sphere, based on the spherical HEALPix coordinate system (Hierarchical Equal Area iso-Latitude Pixelization). HEALPix is heavily used for astronomical data processing applications; it is intrinsically multiscale and locally euclidean, hence appealing for building multiscale system. Furthermore, the equal-area pixelization enables us to employ average-interpolating refinement, giving wavelets of local support. HEALPix wavelets have numerous applications in geopotential modeling. A statistical analysis demonstrates wavelet compressibility of the geopotential field and shows that geopotential wavelet coefficients have many of the statistical properties that were previously observed with wavelet coefficients of natural images. The HEALPix wavelet expansion allows to evaluate a gravimetric quantity over a local region far more rapidly than the classic approach based on spherical harmonics. Our software tools are specifically tailored to demonstrate these advantages.}, author = {Shahram, Morteza and Donoho, David and Starck, Jean L.}, citeulike-article-id = {4754388}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PSISDG00670100000167010A000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aip.org/link/?PSI/6701/67010A}, editor = {Van De Ville, Dimitri and Goyal, Vivek K. and Papadakis, Manos}, journal = {Wavelets XII}, keywords = {donoho, manifold, multiscale, onur2009, starck}, location = {San Diego, CA, USA}, number = {1}, pages = {67010A+}, posted-at = {2009-06-05 18:17:56}, priority = {2}, publisher = {SPIE}, title = {Multiscale representation for data on the sphere and applications to geopotential data}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PSISDG00670100000167010A000001&idtype=cvips&gifs=yes}, volume = {6701}, year = {2007} }

TY - CONF ID - shahram07multi L3 - citeulike-article-id:4754388 N2 - We develop a wavelet transform on the sphere, based on the spherical HEALPix coordinate system (Hierarchical Equal Area iso-Latitude Pixelization). HEALPix is heavily used for astronomical data processing applications; it is intrinsically multiscale and locally euclidean, hence appealing for building multiscale system. Furthermore, the equal-area pixelization enables us to employ average-interpolating refinement, giving wavelets of local support. HEALPix wavelets have numerous applications in geopotential modeling. A statistical analysis demonstrates wavelet compressibility of the geopotential field and shows that geopotential wavelet coefficients have many of the statistical properties that were previously observed with wavelet coefficients of natural images. The HEALPix wavelet expansion allows to evaluate a gravimetric quantity over a local region far more rapidly than the classic approach based on spherical harmonics. Our software tools are specifically tailored to demonstrate these advantages. CY - San Diego, CA, USA IS - 1 JF - Wavelets XII TI - Multiscale representation for data on the sphere and applications to geopotential data PB - SPIE VL - 6701 SP - 67010A KW - donoho KW - manifold KW - multiscale KW - onur2009 KW - starck AU - Shahram, Morteza AU - Donoho, David AU - Starck, Jean A2 - Van De Ville, Dimitri A2 - Goyal, Vivek A2 - Papadakis, Manos PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PSISDG00670100000167010A000001&idtype=cvips&gifs=yes ER -