As-rigid-as-possible shape interpolation
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
An intuitive framework for real-time freeform modeling
ACM SIGGRAPH 2004 Papers
Swirling-Sweepers: Constant-Volume Modeling
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Linear rotation-invariant coordinates for meshes
ACM SIGGRAPH 2005 Papers
Dual Laplacian Editing for Meshes
IEEE Transactions on Visualization and Computer Graphics
Vector field based shape deformations
ACM SIGGRAPH 2006 Papers
Subspace gradient domain mesh deformation
ACM SIGGRAPH 2006 Papers
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
Embedded deformation for shape manipulation
ACM SIGGRAPH 2007 papers
Scan primitives for GPU computing
Proceedings of the 22nd ACM SIGGRAPH/EUROGRAPHICS symposium on Graphics hardware
PriMo: coupled prisms for intuitive surface modeling
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Generalized surface flows for mesh processing
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
On Linear Variational Surface Deformation Methods
IEEE Transactions on Visualization and Computer Graphics
Explicit Control of Vector Field Based Shape Deformations
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
Animating developable surfaces using nonconforming elements
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2008 papers
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Joint-aware manipulation of deformable models
ACM SIGGRAPH 2009 papers
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We introduce a novel continuous surface deformation method which relies on a time-dependent vector field over a triangular mesh. For every time step the piecewise linear vector field is obtained by least-squares minimization of the metric distortion induced by integration subject to boundary conditions. As an integral part of the approach, we introduce a new measure to describe local metric distortion which is invariant to the particular triangulation of the surface and which can incorporate smoothness of the field. Neither of these properties are met by previous work. A GPU implementation of the proposed algorithm enables fast deformations. The resulting deformations have lower metric distortions than deformations by existing (linear or non-linear) methods. This is shown for a number of representative test data sets.