A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Hierarchical spacetime control
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Multiresolution painting and compositing
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
Hierarchical and variational geometric modeling with wavelets
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Fast multiresolution image querying
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Clustering for glossy global illumination
ACM Transactions on Graphics (TOG)
Wavelets for Computer Graphics: A Primer, Part 1
IEEE Computer Graphics and Applications
Fast multiresolution image querying
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
BLaC-Wavelets: a multiresolution analysis with non-nested spaces
Proceedings of the 7th conference on Visualization '96
A multiple processor approach to data compression
SAC '98 Proceedings of the 1998 ACM symposium on Applied Computing
Multi-resolution and slice-oriented feature extraction and segmentation of digitized data
Proceedings of the seventh ACM symposium on Solid modeling and applications
Locally adaptive dimensionality reduction for indexing large time series databases
ACM Transactions on Database Systems (TODS)
Matrix Cubic Splines for Progressive 3D Imaging
Journal of Mathematical Imaging and Vision
Efficient Triangular Surface Approximations Using Wavelets and Quadtree Data Structures
IEEE Transactions on Visualization and Computer Graphics
A Wavelet Representation of Reflectance Functions
IEEE Transactions on Visualization and Computer Graphics
Wavelets for Computer Graphics: A Primer, Part 1
IEEE Computer Graphics and Applications
Prototyping and Transforming Facial Textures for Perception Research
IEEE Computer Graphics and Applications
Image Retrieval Agent: Integrating Image Content and Text
IEEE Intelligent Systems
A public verifiable copy protection technique for still images
Journal of Systems and Software
Approximation of protein structure for fast similarity measures
RECOMB '03 Proceedings of the seventh annual international conference on Research in computational molecular biology
WAA '01 Proceedings of the Second International Conference on Wavelet Analysis and Its Applications
InVIS - Interactive Visualization of Medical Data Sets
Dagstuhl '97, Scientific Visualization
A survey on wavelet applications in data mining
ACM SIGKDD Explorations Newsletter
A quadtree dictionary approach to multi-resolution compression
ACM-SE 42 Proceedings of the 42nd annual Southeast regional conference
Automatic Selection of Illustrations for Teaching Image Processing
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
Development of a multi-resolution framework for NUBS
Information Sciences: an International Journal - Special issue: Information technology
Fast range query estimation by N-level tree histograms
Data & Knowledge Engineering
On Appearance-Based Feature Extraction Methods for Writer-Independent Handwritten Text Recognition
ICDAR '05 Proceedings of the Eighth International Conference on Document Analysis and Recognition
Wavelet-based phase classification
Proceedings of the 15th international conference on Parallel architectures and compilation techniques
3-D Volume modeling, feature identification and rendering of a human skull
MIC'06 Proceedings of the 25th IASTED international conference on Modeling, indentification, and control
Haar wavelet based processor scheme for image coding with low circuit complexity
Computers and Electrical Engineering
Computers in Biology and Medicine
Technical Section: Multiresolution for curves and surfaces based on constraining wavelets
Computers and Graphics
Structural hidden Markov models for biometrics: Fusion of face and fingerprint
Pattern Recognition
A statistical multiresolution approach for face recognition using structural hidden Markov models
EURASIP Journal on Advances in Signal Processing
Waveprint: Efficient wavelet-based audio fingerprinting
Pattern Recognition
Content-based image retrieval based on rectangular segmentation
SIP'08 Proceedings of the 7th WSEAS International Conference on Signal Processing
Using wavelets with current and future hardware
ACM SIGGRAPH 2008 Games
Detail preserving deformation of B-spline surfaces with volume constraint
Computer Aided Geometric Design
A lossy 3D wavelet transform for high-quality compression of medical video
Journal of Systems and Software
New multiresolution modeling techniques in CAD
Computer-Aided Design
Indexing pictorial documents by their content: a survey of current techniques
Image and Vision Computing
Multiscale Methods for Image Processing: The Wavelet and the Scale-Space Approaches
SIBGRAPI-TUTORIALS '09 Proceedings of the 2009 Tutorials of the XXII Brazilian Symposium on Computer Graphics and Image Processing
A novel progressive refinement algorithm for full spectral rendering
Real-Time Imaging
Uniformly sampling multi-resolution analysis for image-based relighting
Journal of Visual Communication and Image Representation
A comparison of multi-resolution methods for detection and isolation of pavement distress
Expert Systems with Applications: An International Journal
Content-based image retrieval algorithm acceleration in a low-cost reconfigurable FPGA cluster
Journal of Systems Architecture: the EUROMICRO Journal
Atypicity detection in data streams: A self-adjusting approach
Intelligent Data Analysis - Ubiquitous Knowledge Discovery
Improvement of reuse of classifiers in CBIR using SVM active learning
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: models and applications - Volume Part II
Expert Systems with Applications: An International Journal
3D medical volume segmentation using hybrid multiresolution statistical approaches
Advances in Artificial Intelligence - Special issue on machine learning paradigms for modeling spatial and temporal information in multimedia data mining
Expert Systems with Applications: An International Journal
Journal of Parallel and Distributed Computing
K-median clustering, model-based compressive sensing, and sparse recovery for earth mover distance
Proceedings of the forty-third annual ACM symposium on Theory of computing
Smooth reverse Loop and Catmull-Clark subdivision
Graphical Models
Similar subsequence search in time series databases
DEXA'11 Proceedings of the 22nd international conference on Database and expert systems applications - Volume Part I
Journal of Biomedical Imaging - Special issue on Machine Learning in Medical Imaging
A discrete approach to multiresolution curves and surfaces
Transactions on Computational Science VI
Matrix newton interpolation and progressive 3D imaging: PC-based computation
Mathematical and Computer Modelling: An International Journal
Progressive transmission of images: Adaptive best strategies
Mathematical and Computer Modelling: An International Journal
Parsimonious temporal aggregation
The VLDB Journal — The International Journal on Very Large Data Bases
Mesh connection with RBF local interpolation and wavelet transform
Proceedings of the Third Symposium on Information and Communication Technology
A performance evaluation of SIFT and SURF for multispectral image matching
ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part I
Texture Compression using Wavelet Decomposition
Computer Graphics Forum
Computational Intelligence and Neuroscience
Searching time series with Hadoop in an electric power company
Proceedings of the 2nd International Workshop on Big Data, Streams and Heterogeneous Source Mining: Algorithms, Systems, Programming Models and Applications
FPGA-based IP cores implementation for face recognition using dynamic partial reconfiguration
Journal of Real-Time Image Processing
Trace alignment algorithms for offline workload analysis of heterogeneous architectures
Proceedings of the International Conference on Computer-Aided Design
Computing
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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 discuss the simple case of Haar wavelets in one and two dimensions, and show how they can be used for image compression. Part II will present the mathematical theory of multiresolution analysis, develop bounded-interval spline wavelets, and describe their use in multiresolution curve and surface editing.