Computer Aided Geometric Design - Special issue: Topics in CAGD
Principles of traditional animation applied to 3D computer animation
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Variational design of rational Be´zier curves and surfaces
Proceedings of the international conference on Curves and surfaces in geometric design
Hierarchical and variational geometric modeling with wavelets
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
Multiresolution curve editing with linear constraints
Proceedings of the sixth ACM symposium on Solid modeling and applications
Multiresolution Representation and Visualization of Volume Data
IEEE Transactions on Visualization and Computer Graphics
Vesicles and Amoebae: On Globally Constrained Shape Deformation
Journal of Mathematical Imaging and Vision
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In this paper a method for multiresolution deformation of planar piecewise linear curves that preserves the curve length is presented. In a wavelet based multiresolution editing framework, the curve can be deformed at any level of resolution through its control points. Enforcing the length constraint is carried out in two steps. In a first step the multiresolution decomposition of the curve is used in order to approximate the initial curve length. In a second step the length constraint is satisfied exactly by iteratively smoothing the deformed curve. Wrinkle generation is an application the paper particularly focuses on. It is shown how the multiresolution definition of the curve allows to explicitly and intuitively control the scale of the generated wrinkles.