Free-form deformation of solid geometric models
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
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
A polygonal approximation to direct scalar volume rendering
VVS '90 Proceedings of the 1990 workshop on Volume visualization
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Free-form deformations with lattices of arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Teddy: a sketching interface for 3D freeform design
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Time critical isosurface refinement and smoothing
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Virtual clay: a real-time sculpting system with haptic toolkits
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
FEM-based subdivision solids for dynamic and haptic interaction
Proceedings of the sixth ACM symposium on Solid modeling and applications
Constructive modeling of FRep solids using spline volumes
Proceedings of the sixth ACM symposium on Solid modeling and applications
Kizamu: a system for sculpting digital characters
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Biorthogonal wavelets for subdivision volumes
Proceedings of the seventh ACM symposium on Solid modeling and applications
A new solid subdivision scheme based on box splines
Proceedings of the seventh ACM symposium on Solid modeling and applications
Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Point-based modelling and rendering using radial basis functions
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Alias-Free Voxelization of Geometric Objects
IEEE Transactions on Visualization and Computer Graphics
Robust Creation of Implicit Surfaces from Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Constructive hypervolume modeling
Graphical Models - Volume modeling
Resolution adaptive volume sculpting
Graphical Models - Volume modeling
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
An Interpolatory Subdivision for Volumetric Models over Simplicial Complexes
SMI '03 Proceedings of the Shape Modeling International 2003
Haptic Sculpting of Volumetric Implicit Functions
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Implicit Surfaces that Interpolate
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Subdivision-Curve Primitives: A New Solution for Interactive Implicit Modeling
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Volume Sculpting Using the Level-Set Method
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Interactive Global and Local Deformations for Virtual Clay
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Interpolatory, solid subdivision of unstructured hexahedral meshes
The Visual Computer: International Journal of Computer Graphics - Special section on implicit surfaces
Multiresolution heterogeneous solid modeling and visualization using trivariate simplex splines
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
A framework for multi-dimensional adaptive subdivision objects
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
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This paper presents Digital Sculpture, an interactive sculpting framework founded upon iso-surfaces extracted from recursively subdivided, 3D irregular grids. Our unique implicit surface model arises from an interpolatory, volumetric subdivision scheme that is C1 continuous across the domains defined by arbitrary 3D irregular grids. We assign scalar coefficients and color to each control vertex and allow these quantities to participate in the volumetric subdivision of irregular grids. In the subdivision limit, a virtual sculpture is obtained by extracting the zero-level from the volumetric, scalar field defined over the irregular grid. This novel shape geometry extends concepts from solid modeling, recursive subdivision, and implicit surfaces; facilitates many techniques for interactive sculpting; permits rapid, local evaluation of iso-surfaces; and affords level-of-detail control of the sculpted surfaces.