Title
A Colour Interpolation Scheme for Topologically Unrestricted Gradient Meshes
Abstract
AbstractGradient meshes are a 2D vector graphics primitive where colour is interpolated between mesh vertices. The current implementations of gradient meshes are restricted to rectangular mesh topology. Our new interpolation method relaxes this restriction by supporting arbitrary manifold topology of the input gradient mesh. Our method is based on the Catmull-Clark subdivision scheme, which is well-known to support arbitrary mesh topology in 3D. We adapt this scheme to support gradient mesh colour interpolation, adding extensions to handle interpolation of colours of the control points, interpolation only inside the given colour space and emulation of gradient constraints seen in related closed-form solutions. These extensions make subdivision a viable option for interpolating arbitrary-topology gradient meshes for 2D vector graphics.
Year
DOI
Venue
2017
10.1111/cgf.12862
Periodicals
Keywords
Field
DocType
gradient mesh,colour interpolation,subdivision surface
Nearest-neighbor interpolation,Topology,Polygon mesh,Computer science,Interpolation,Stairstep interpolation,Subdivision surface,Trilinear interpolation,Image scaling,Color gradient
Journal
Volume
Issue
ISSN
36
6
0167-7055
Citations 
PageRank 
References 
3
0.43
9
Authors
4
Name
Order
Citations
PageRank
Henrik Lieng1143.04
Jiří Kosinka2916.53
JingJing Shen381.97
Neil A. Dodgson472354.20