Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Using partial differential equations to generate free-form surfaces: 91787
Computer-Aided Design
Extended free-form deformation: a sculpturing tool for 3D geometric modeling
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
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Multiresolution analysis of arbitrary meshes
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A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd 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
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Strategies for polyhedral surface decomposition: an experimental study
Computational Geometry: Theory and Applications
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Animating rotation with quaternion curves
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Partitioning 3D Surface Meshes Using Watershed Segmentation
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Generating Fair Meshes with G1 Boundary Conditions
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SMI '04 Proceedings of the Shape Modeling International 2004
An intuitive framework for real-time freeform modeling
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
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ACM SIGGRAPH 2005 Papers
Large mesh deformation using the volumetric graph Laplacian
ACM SIGGRAPH 2005 Papers
A sketch-based interface for detail-preserving mesh editing
ACM SIGGRAPH 2005 Papers
A Constrained Least Squares Approach to Interactive Mesh Deformation
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Efficient linear system solvers for mesh processing
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Non-homogeneous resizing of complex models
ACM SIGGRAPH Asia 2008 papers
iWIRES: an analyze-and-edit approach to shape manipulation
ACM SIGGRAPH 2009 papers
Technical Section: Content-aware model resizing based on surface deformation
Computers and Graphics
SMI 2011: Full Paper: An approach to automated decomposition of volumetric mesh
Computers and Graphics
Feature-preserved morphing method for panel design
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Computer-Aided Design
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Interactive mesh deformation that preserves differential properties is a promising technique for the design of mechanical parts such as automobile sheet-metal panels. However, existing methods lack the ability to manipulate the form features and hard constraints that are commonly used in engineering applications. In this paper, we propose a new deformation framework that precisely preserves the shapes of form features during deformation. Geometrical shapes are interactively deformed so that mean curvature normals are approximately preserved in a least-squares sense and positional constraints and form-feature constraints are precisely satisfied. In our system, the combination of soft and hard constraints is solved using the Lagrange multiplier method. We also show how to constrain the motion of a form feature on a plane or a straight line using linear constraints. The implemented system achieves a real-time response for constrained deformation.