NDLI: Length Preserving Multiresolution Editing of Curves

Content Provider	Springer Nature Link
Author	Hahmann, Stefanie Bonneau, Georges Pierre Sauvage, Basile
Copyright Year	2004
Abstract	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.
Ending Page	170
Page Count	10
Starting Page	161
File Format	PDF
ISSN	0010485X
e-ISSN	14365057
Journal	Computing
Issue Number	1-2
Volume Number	72
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-03-08
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Computer aided design (modeling of curves and surfaces) Computer graphics, image analysis, and computational geometry curve length length constraint Computer graphics; computational geometry deformation wrinkle generation Computer-aided design Multiresolution analysis linearization
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Computational Theory and Mathematics Computational Mathematics Numerical Analysis Computer Science Applications Software

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