Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
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
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Direct manipulation of free-form deformations
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
A system for sculpting 3-D data
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Preventing Self-Intersection under Free-Form Deformation
IEEE Transactions on Visualization and Computer Graphics
NURBS-Based Free-Form Deformations
IEEE Computer Graphics and Applications
Free-form skeleton-driven mesh deformations
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Volume Sculpting Using the Level-Set Method
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Efficient algorithms for solving static hamilton-jacobi equations
Efficient algorithms for solving static hamilton-jacobi equations
Point Set Surface Editing Techniques Based on Level-Sets
CGI '04 Proceedings of the Computer Graphics International
Swirling-Sweepers: Constant-Volume Modeling
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Interactive modelling from sketches using spherical implicit functions
AFRIGRAPH '04 Proceedings of the 3rd international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
IEEE Transactions on Visualization and Computer Graphics
A painting interface for interactive surface deformations
Graphical Models - Special issue on pacific graphics 2003
Sweepers: swept deformation defined by gesture
Graphical Models - Special issue on SMI 2004
Adaptive level set method for mesh evolution
Edutainment'06 Proceedings of the First international conference on Technologies for E-Learning and Digital Entertainment
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Providing an intuitive and effective tool for freeform geometric modeling is important for product design. We introduce in this paper a level-set based spatial warping method for freeform modeling, allowing shape deformation to be initialed by rigid body transformations of volumetric tools. Intuitive user operations including imprinting, deformation and smoothing are developed to shield the user from the underlying geometric complexity. Unlike mesh-based spatial warping methods, the developed method represents a digital model by implicit distance field data and describes its change of geometry by the level-set method. This guarantees the generation of topologically correct triangular mesh models and circumvents the error-prone remeshing and mesh-repairing processes, thus preventing topological errors such as self-intersections. We present this method with algorithm details, numerical experiments and modeling examples.