An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Knot removal for parametric B-spline curves and surfaces
Computer Aided Geometric Design
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Real time spline curves from interactively sketched data
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Mathematical methods in computer aided geometric design II
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Geometric manipulation of tensor product surfaces
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
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
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Multiresolution painting and compositing
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
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
PostScript Language Reference Manual
PostScript Language Reference Manual
Curve-fitting with piecewise parametric cubics
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Computer-generated pen-and-ink illustration
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
Hierarchical and variational geometric modeling with wavelets
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Interactive multiresolution surface viewing
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
BLaC-Wavelets: a multiresolution analysis with non-nested spaces
Proceedings of the 7th conference on Visualization '96
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Cartoon Animation and Morphing with Wavelet Curve Descriptor
Multidimensional Systems and Signal Processing
A feature-based approach for smooth surfaces
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A multiresolution framework for variational subdivision
ACM Transactions on Graphics (TOG)
Interactive curve design using digital French curves
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Surface fairing preserving continuity with neighboring surfaces based on wavelet transform
Proceedings of the fifth ACM symposium on Solid modeling and applications
A hierarchical approach to interactive motion editing for human-like figures
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Multiresolution curve editing with linear constraints
Proceedings of the sixth ACM symposium on Solid modeling and applications
An invitation to discuss computer depiction
NPAR '02 Proceedings of the 2nd international symposium on Non-photorealistic animation and rendering
Stylization and abstraction of photographs
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Learning style translation for the lines of a drawing
ACM Transactions on Graphics (TOG)
Efficient Triangular Surface Approximations Using Wavelets and Quadtree Data Structures
IEEE Transactions on Visualization and Computer Graphics
Wavelets for Computer Graphics: A Primer, Part 1
IEEE Computer Graphics and Applications
Wavelets for Computer Graphics: A Primer, Part 2
IEEE Computer Graphics and Applications
Four-point wavelets and their applications
Journal of Computer Science and Technology
Reflowing digital ink annotations
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
On the Elaboration of Hand-Drawn Sketches
AMT '01 Proceedings of the 6th International Computer Science Conference on Active Media Technology
Multiresolution Constraints for Designing Subdivision Surfaces via Local Smoothing
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Supporting Content-Based Searches on Time Series via Approximation
SSDBM '00 Proceedings of the 12th International Conference on Scientific and Statistical Database Management
Authenticity Analysis of Wavelet Approximations in Visualization
VIS '95 Proceedings of the 6th conference on Visualization '95
Constrained animation of flocks
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Perceptually based brush strokes for nonphotorealistic visualization
ACM Transactions on Graphics (TOG)
Smooth constraints for spline variational modeling
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Development of a multi-resolution framework for NUBS
Information Sciences: an International Journal - Special issue: Information technology
An integrated approach to realize multi-resolution of B-rep model
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Large mesh deformation using the volumetric graph Laplacian
ACM SIGGRAPH 2005 Papers
Area preserving deformation of multiresolution curves
Computer Aided Geometric Design
Biorthogonal loop-subdivision wavelets
Computing - Geometric modelling dagstuhl 2002
Paintbrush rendering of lines using HMMs
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Adaptive resolution of 1D mechanical B-spline
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Single-knot wavelets for non-uniform B-splines
Computer Aided Geometric Design
Proceedings of the 4th international symposium on Non-photorealistic animation and rendering
symSpline: symmetric two-handed spline manipulation
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Geometric modeling applications in rational drug design: a survey
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
A multi-level filtering approach for fairing planar cubic B-spline curves
Computer Aided Geometric Design
An impulsive noise reduction agent for rigid body motion data using B-spline wavelets
Expert Systems with Applications: An International Journal
SOHO: Orthogonal and symmetric Haar wavelets on the sphere
ACM Transactions on Graphics (TOG)
Polygonal silhouette error correction: a reverse subdivision approach
International Journal of Computational Science and Engineering
Detail preserving deformation of B-spline surfaces with volume constraint
Computer Aided Geometric Design
Biorthogonal nonuniform B-spline wavelets based on a discrete norm
Computer Aided Geometric Design
Technical Section: Smooth reverse subdivision
Computers and Graphics
Computational Aesthetics 2008: Automatically mimicking unique hand-drawn pencil lines
Computers and Graphics
Area preserving deformation of multiresolution curves
Computer Aided Geometric Design
Single-knot wavelets for non-uniform B-splines
Computer Aided Geometric Design
Geometric modeling applications in rational drug design: a survey
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
Curve modeling with constrained B-spline wavelets
Computer Aided Geometric Design
Haptic sculpting of multi-resolution B-spline surfaces with shaped tools
Computer-Aided Design
New multiresolution modeling techniques in CAD
Computer-Aided Design
From spline to Class-A curves through multi-scale analysis filtering
Computers and Graphics
Progressive curve representation based on reverse subdivision
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
A case study of multi-resolution representation of heads
ICDHM'07 Proceedings of the 1st international conference on Digital human modeling
Perceptually-motivated graphics, visualization and 3D displays
ACM SIGGRAPH 2010 Courses
Smooth detail features on multiresolution surface
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part II
Technical Section: Multiresolutions numerically from subdivisions
Computers and Graphics
Smooth reverse Loop and Catmull-Clark subdivision
Graphical Models
Public watermarking scheme based on multiresolution representation and double hilbert scanning
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part II
A discrete approach to multiresolution curves and surfaces
Transactions on Computational Science VI
Wavelet-based automated river network generalization
Proceedings of the 3rd International Conference on Computing for Geospatial Research and Applications
Mimicking hand-drawn pencil lines
Computational Aesthetics'08 Proceedings of the Fourth Eurographics conference on Computational Aesthetics in Graphics, Visualization and Imaging
Sketch interpretation and refinement using statistical models
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
Pen stroke extraction and refinement using learned models
SBM'04 Proceedings of the First Eurographics conference on Sketch-Based Interfaces and Modeling
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We describe a multiresolution curve representation, based on wavelets, that conveniently supports a variety of operations: smoothing a curve; editing the overall form of a curve while preserving its details; and approximating a curve within any given error tolerance for scan conversion. We present methods to support continuous levels of smoothing as well as direct manipulation of an arbitrary portion of the curve; the control points, as well as the discrete nature of the underlying hierarchical representation, can be hidden from the user. The multiresolution representation requires no extra storage beyond that of the original control points, and the algorithms using the representation are both simple and fast.