Haptics-based volumetric modeling using dynamic spline-based implicit functions
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Real-time haptic sculpting in virtual volume space
VRST '02 Proceedings of the ACM symposium on Virtual reality software and technology
Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Dynamic Sculpting and Deformation of Point Set Surfaces
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Haptics-Based Dynamic Implicit Solid Modeling
IEEE Transactions on Visualization and Computer Graphics
A Haptic-Rendering Technique Based on Hybrid Surface Representation
IEEE Computer Graphics and Applications
Touch-Based Haptics for Interactive Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Multiresolution heterogeneous solid modeling and visualization using trivariate simplex splines
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Dynamic spherical volumetric simplex splins with application in biomedical simulation
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Generic gesture kernel modeling and its application with virtual garment design
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
Tangible 3D: hand gesture interaction for immersive 3D modeling
EGVE'05 Proceedings of the 11th Eurographics conference on Virtual Environments
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Implicit functions characterized by the zero-set of polynomial-based algebraic equations and other commonly-used analytic equations are extremely powerful in graphics, geometric design, and visualization. But the potential of implicit functions is yet to be fully realized due to the lack of flexible and interactive design techniques. This paper presents a haptic sculpting system founded upon scalar trivariate B-spline functions. All the solids sculpted in our environment are semi-algebraic sets of volumetric implicit functions. We develop a large variety of sculpting toolkits equipped with an intuitive haptic interface to facilitate the direct manipulation of implicit functions in real-time. To facilitate multiresolution editing and different levels of details, we employ three techniques: hierarchical B-splines, CSG-based functional composition, and knot insertion. Our experiments demonstrate that our algorithms and haptics-based techniques can greatly overcome the modeling difficulties associated with implicit functions. The novel modeling techniques and their haptics-based design principle are extensible to the design of arbitrary implicit functions.