Making the Oslo algorithm more efficient
SIAM Journal on Numerical Analysis
Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
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
Animated free-form deformation: an interactive animation technique
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Surface Reconstruction Using Deformable Models with Interior and Boundary Constraints
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Simple constrained deformations for geometric modeling and interactive design
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
A new approach towards free-form surfaces control
Computer Aided Geometric Design
Image metamorphosis using snakes and free-form deformations
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
Image Metamorphosis with Scattered Feature Constraints
IEEE Transactions on Visualization and Computer Graphics
Scattered Data Interpolation with Multilevel B-Splines
IEEE Transactions on Visualization and Computer Graphics
NURBS-Based Free-Form Deformations
IEEE Computer Graphics and Applications
Non-uniform deformation of an STL model satisfying error criteria
Computer-Aided Design
An innovative virtual-engineering system for supporting integrated footwear design
International Journal of Intelligent Engineering Informatics
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This paper presents a method for modifying a surface model with non-uniformly scattered displacement constraints. When displacement vectors are given as constraints to feature points on the original surfaces, those of the other points should be computed to construct deformed surfaces. To maintain the overall appearance and smoothness of the original surfaces, the proper relationship should be formulated between the displacement vectors of feature points and those of the other points. For this purpose, a 3D vector field, a set of displacement vectors, is constructed based on the given constraints. Multi-level B-spline approximation technique is also used to circumvent a tradeoff between smoothness and accuracy. The technique uses coarse-to-fine hierarchy of control lattices. The proposed method is implemented as a module of the shoe sole design system and applied especially for shoe grading.