Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
2-D shape blending: an intrinsic solution to the vertex path problem
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Delaunay triangulation and 3D adaptive mesh generation
Finite Elements in Analysis and Design - Special issue: adaptive meshing part 2
As-rigid-as-possible shape interpolation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Pose space deformation: a unified approach to shape interpolation and skeleton-driven deformation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A framework for geometric warps and deformations
ACM Transactions on Graphics (TOG)
Pyramid Coordinates for Morphing and Deformation
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
As-rigid-as-possible shape manipulation
ACM SIGGRAPH 2005 Papers
2D shape deformation using nonlinear least squares optimization
The Visual Computer: International Journal of Computer Graphics
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
As-rigid-as-possible surface modeling
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
As-rigid-as-possible shape deformation and interpolation
Journal of Visual Communication and Image Representation
An automatic and general least-squares projection procedure for sweep meshing
Engineering with Computers - Special Issue: 15th International Meshing Roundtable in 2006. Guest Editors: Philippe P. Pébay and Alan M. Shih (pp. 339 - 406). Original Articles (pp. 407 - 448)
Robust mesh editing using Laplacian coordinates
Graphical Models
Hi-index | 0.00 |
This paper presents an efficient and stable as-rigid-as-possible mesh deformation algorithm for planar shape deformation and hexahedral mesh generation. The deformation algorithm aims to preserve two local geometric properties: scale-invariant intrinsic variables and elastic deformation energy, which are together represented in a quadric energy function. To preserve these properties, the position of each vertex is further adjusted by iteratively minimizing this quadric energy function to meet the position constraint of the controlling points. Experimental results show that the deformation algorithm is efficient, and can obtain physically plausible results, which have the same topology structure with the original mesh. Such a mesh deformation method is useful to project the source surface mesh onto the target surfaces in hexahedral mesh generation based on sweep method, and application results show that the proposed method is feasible to mesh projection not only between similar surface contours but also dissimilar surface contours.