Title
Handle-aware isolines for scalable shape editing
Abstract
Handle-based mesh deformation is essentially a nonlinear problem. To allow scalability, the original deformation problem can be approximately represented by a compact set of control variables. We show the direct relation between the locations of handles on the mesh and the local rigidity under deformation, and introduce the notion of handle-aware rigidity. Then, we present a reduced model whose control variables are intelligently distributed across the surface, respecting the rigidity information and the geometry. Specifically, for each handle, the control variables are the transformations of the isolines of a harmonic scalar field representing the deformation propagation from that handle. The isolines constitute a virtual skeletal structure similar to the bones in skinning deformation, thus correctly capturing the low-frequency shape deformation. To interpolate the transformations from the isolines to the original mesh, we design a method which is local, linear and geometry-dependent. This novel interpolation scheme and the transformation-based reduced domain allow each iteration of the nonlinear solver to be fully computed over the reduced domain. This makes the per-iteration cost dependent on only the number of isolines and enables compelling deformation of highly detailed shapes at interactive rates. In addition, we show how the handle-driven isolines provide an efficient means for deformation transfer without full shape correspondence.
Year
DOI
Venue
2007
10.1145/1275808.1276481
ACM Trans. Graph.
Keywords
Field
DocType
structural similarity,low frequency,isolines,scalar field
Rigidity (psychology),Topology,Skinning,Nonlinear system,Computer science,Interpolation,Control variable,Deformation (mechanics),Scalar field,Scalability
Journal
Volume
Issue
ISSN
26
3
0730-0301
Citations 
PageRank 
References 
39
1.17
26
Authors
4
Name
Order
Citations
PageRank
Oscar Kin-Chung Au158422.13
Hongbo Fu2116773.64
Chiew-Lan Tai3164077.68
Daniel Cohen-Or410588533.55