SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Integrating constraints and direct manipulation
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree
Computer Aided Geometric Design
An optimal algorithm for expanding the composition of polynomials
ACM Transactions on Graphics (TOG)
Computing moments of objects enclosed by piecewise polynomial surfaces
ACM Transactions on Graphics (TOG)
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Volume-Preserving Free-Form Solids
IEEE Transactions on Visualization and Computer Graphics
Area preserving deformation of multiresolution curves
Computer Aided Geometric Design
Length preserving multiresolution editing of curves
Computing - Geometric modelling dagstuhl 2002
Detail preserving deformation of B-spline surfaces with volume constraint
Computer Aided Geometric Design
Area preserving deformation of multiresolution curves
Computer Aided Geometric Design
Vesicles and Amoebae: On Globally Constrained Shape Deformation
Journal of Mathematical Imaging and Vision
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The use of multiresolution control toward the editing of freeform curves and surfaces has already been recognized as a valuable modeling tool [4, 8, 11]. Similarly, in contemporary computer aided geometric design, the use of constraints to precisely prescribe freeform shape is considered an essential capability [7, 18]. This paper presents a scheme that combines multiresolution control with linear constraints into one framework, allowing one to perform multiresolution manipulation of nonuniform B-spline curves, while specifying and satisfying various linear constraints on the curves.Positional, tangential, and orthogonality constraints are all linear and can be easily incorporated into a multiresolution freeform curve editing environment, as will be shown. Moreover, we also show that the symmetry as well as the area constraints can be reformulated as linear constraints and similarly incorporated. The presented framework is extendible and we also portray this same framework in the context of freeform surfaces.