Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Wires: a geometric deformation technique
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
SIAM Journal on Numerical Analysis
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Enhancing the efficiency and versatility of directly manipulated free-form deformation
ACM SIGGRAPH 99 Conference abstracts and applications
Point inversion and projection for NURBS curve and surface: control polygon approach
Computer Aided Geometric Design
Arc-Length-Based Axial Deformation and Length Preserved Animation
CA '97 Proceedings of the Computer Animation
Fast uzawa algorithm for generalized saddle point problems
Applied Numerical Mathematics
Detail-Preserving Variational Surface Design with Multiresolution Constraints
SMI '04 Proceedings of the Shape Modeling International 2004
Differential Coordinates for Interactive Mesh Editing
SMI '04 Proceedings of the Shape Modeling International 2004
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Linear rotation-invariant coordinates for meshes
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
Length Constrained Multiresolution Deformation for Surface Wrinkling
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Developability-preserved free-form deformation of assembled patches
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Convergence of Successive Approximation Methods with Parameter Target Sets
Mathematics of Operations Research
Skeleton extraction by mesh contraction
ACM SIGGRAPH 2008 papers
ACM SIGGRAPH 2008 papers
A survey of spatial deformation from a user-centered perspective
ACM Transactions on Graphics (TOG)
Dynamic Axial Curve ---Pair Based Deformation
Edutainment '08 Proceedings of the 3rd international conference on Technologies for E-Learning and Digital Entertainment
Detail preserving deformation of B-spline surfaces with volume constraint
Computer Aided Geometric Design
Computing the minimum distance between a point and a NURBS curve
Computer-Aided Design
Variational harmonic maps for space deformation
ACM SIGGRAPH 2009 papers
Improved algorithms for the projection of points on NURBS curves and surfaces
Computer Aided Geometric Design
Versatile surface detail editing via Laplacian coordinates
The Visual Computer: International Journal of Computer Graphics
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Curve-pair based deformation is an extension of axial deformation for providing more intuitive and convenient control of object deformation. In this paper, we investigate the problem of the direct manipulation of curve-pair based deformation with geometric constraints. With different objective functions, two kinds of constrained optimization problems are derived from the direct manipulation problem, the first one is based on the minimization of the changes in the control polygon of the curve pair, and the second one is based on the minimization of the length change of the object to be deformed. The corresponding nonlinear constrained optimization problems are solved by using the Uzawa method. In order to preserve geometric detail in a deformation, we propose a detail-preserving direct manipulation approach by using Laplacian coordinates. Users are only required to specify some constraint points to control the deformation. Experimental results and comparisons with other approaches are presented to demonstrate the effectiveness and stability of the proposed methods.