His primary areas of investigation include Wavelet, Lifting scheme, Discrete wavelet transform, Second-generation wavelet transform and Algorithm. In most of his Wavelet studies, his work intersects topics such as Mathematical analysis. Wim Sweldens focuses mostly in the field of Discrete wavelet transform, narrowing it down to matters related to Wavelet packet decomposition and, in some cases, Discrete mathematics.
His studies deal with areas such as Biorthogonal system and Signal processing as well as Algorithm. His work in Biorthogonal system tackles topics such as Dual wavelet which are related to areas like Topology. His research in Fast wavelet transform intersects with topics in Gabor wavelet and Biorthogonal wavelet.
His primary areas of study are Algorithm, Wavelet, Wavelet transform, Topology and Lifting scheme. His work on Adaptive filter as part of general Algorithm research is frequently linked to Upsampling, bridging the gap between disciplines. His work carried out in the field of Wavelet brings together such families of science as Discrete mathematics and Mathematical analysis.
His Wavelet transform research includes elements of Geometry and Nyquist–Shannon sampling theorem. His Topology research is multidisciplinary, incorporating perspectives in Polygon mesh, Transmission, Unitary matrix, Signal and Antenna. Wim Sweldens combines subjects such as Simple, Fixed-function and Data compression with his study of Lifting scheme.
Wim Sweldens mainly investigates Topology, Algorithm, Antenna, Polygon mesh and Unitary matrix. His work in Topology covers topics such as Telecommunications which are related to areas like Encoding and Reliability. His Algorithm research incorporates themes from Discrete mathematics, Mathematical optimization, Wavelet transform and Communications system.
Wavelet transform is a subfield of Wavelet that Wim Sweldens tackles. Wim Sweldens interconnects Electronic engineering and Signal, Modulation in the investigation of issues within Antenna. His Subdivision surface study, which is part of a larger body of work in Polygon mesh, is frequently linked to Volume mesh, bridging the gap between disciplines.
His main research concerns Algorithm, Wavelet, Topology, Wavelet transform and Subdivision surface. His Algorithm research is multidisciplinary, relying on both Basis and Mathematical optimization. His study in Polygon mesh extends to Wavelet with its themes.
His study looks at the relationship between Topology and fields such as Telecommunications, as well as how they intersect with chemical problems. As a member of one scientific family, Wim Sweldens mostly works in the field of Wavelet transform, focusing on Data compression and, on occasion, Second-generation wavelet transform, Nonlinear filter and Nonlinear system. His Subdivision surface study incorporates themes from Animation and Signal processing.
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Factoring wavelet transforms into lifting steps
Ingrid Daubechies;Wim Sweldens.
Journal of Fourier Analysis and Applications (1998)
The lifting scheme: a construction of second generation wavelets
Wim Sweldens.
Siam Journal on Mathematical Analysis (1998)
The Lifting Scheme: A Custom-Design Construction of Biorthogonal Wavelets
Wim Sweldens.
Applied and Computational Harmonic Analysis (1996)
Wavelet Transforms That Map Integers to Integers
A.R. Calderbank;Ingrid Daubechies;Wim Sweldens;Boon-Lock Yeo.
Applied and Computational Harmonic Analysis (1998)
Lifting scheme: a new philosophy in biorthogonal wavelet constructions
Wim Sweldens.
SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation (1995)
Differential unitary space-time modulation
B.M. Hochwald;W. Sweldens.
IEEE Transactions on Communications (2000)
Spherical wavelets: efficiently representing functions on the sphere
Peter Schröder;Wim Sweldens.
international conference on computer graphics and interactive techniques (1995)
MAPS: multiresolution adaptive parameterization of surfaces
Aaron W. F. Lee;Wim Sweldens;Peter Schröder;Lawrence Cowsar.
international conference on computer graphics and interactive techniques (1998)
Systematic design of unitary space-time constellations
B.M. Hochwald;T.L. Marzetta;T.J. Richardson;W. Sweldens.
IEEE Transactions on Information Theory (2000)
An overview of wavelet based multiresolution analyses
Björn Jawerth;Wim Sweldens.
Siam Review (1994)
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