Interactive techniques for implicit modeling
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Surface modeling with oriented particle systems
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
The approximation power of moving least-squares
Mathematics of Computation
Three dimensional freeform sculpting via zero sets of scalar trivariate functions
Proceedings of the fifth ACM symposium on Solid modeling and applications
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Haptics-based volumetric modeling using dynamic spline-based implicit functions
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Haptic Sculpting of Volumetric Implicit Functions
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
ACM SIGGRAPH 2004 Papers
Scalar-Function-Driven Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
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This paper presents a novel paradigm for point set surface editing, which takes advantages of the potential of implicit surfaces, the strength of physics based modeling techniques, and the simplicity of point sampled surfaces. Our point set surface is evaluated as the zero set of the weighted sum of the collection of the scalar trivariate B-spline functions defined over the local domain of each point sample. The implicit representation of the point set surfaces allows users to easily modify the topology of the sculpted objects. The deformation of the surfaces is conducted by dynamically modifying the local reference domains, as well as their scalar control coefficients. We have developed a variety of sculpting toolkits that can dynamically manipulate the implicit point set surface and easily perform CSG boolean operation on arbitrarily shaped objects. Our research work complements existing point rendering and modeling pipelines for efficient interactive sculpting and deformation.