An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
An introduction to wavelets
Hierarchical spacetime control
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Interactive pen-and-ink illustration
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Fast multiresolution image querying
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Global illumination of glossy environments using wavelets and importance
ACM Transactions on Graphics (TOG)
BLaC-Wavelets: a multiresolution analysis with non-nested spaces
Proceedings of the 7th conference on Visualization '96
Multiresolution compression and reconstruction
VIS '97 Proceedings of the 8th conference on Visualization '97
Development of a multi-resolution framework for NUBS
Information Sciences: an International Journal - Special issue: Information technology
Haar wavelet based processor scheme for image coding with low circuit complexity
Computers and Electrical Engineering
Content-based image retrieval based on rectangular segmentation
SIP'08 Proceedings of the 7th WSEAS International Conference on Signal Processing
Biorthogonal nonuniform B-spline wavelets based on a discrete norm
Computer Aided Geometric Design
New multiresolution modeling techniques in CAD
Computer-Aided Design
A case study of multi-resolution representation of heads
ICDHM'07 Proceedings of the 1st international conference on Digital human modeling
Adapting personal music for synesthetic game play
Proceedings of the Fifth International Conference on the Foundations of Digital Games
Content-based image retrieval algorithm acceleration in a low-cost reconfigurable FPGA cluster
Journal of Systems Architecture: the EUROMICRO Journal
Hi-index | 0.00 |
Wavelets are a mathematical tool for hierarchically decomposing functions. Using wavelets, a function can be described in terms of a coarse overall shape, plus details that range from broad to narrow. Regardless of whether the function of interest is an image, a curve, or a surface, wavelets provide an elegant technique for representing the levels of detail present. This primer is intended to provide those working in computer graphics with some intuition for what wavelets are, as well as to present the mathematical foundations necessary for studying and using them. In Part I, we discussed the simple case of Haar wavelets in one and two dimensions, and showed how they can be used for image compression. Part II presents the mathematical theory of multiresolution analysis, develops bounded-interval spline wavelets, and describes their use in multiresolution curve and surface editing.