OBBTree: a hierarchical structure for rapid interference detection
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Untangling knots by stochastic energy optimization
Proceedings of the 7th conference on Visualization '96
An interface for sketching 3D curves
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Interactive animation of cloth-like objects for virtual reality
Cloth modeling and animation
A computer technique for displaying n-dimensional hyperobjects
Communications of the ACM
DAB: interactive haptic painting with 3D virtual brushes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions
Beyond the Third Dimension: Geometry, Computer Graphics, and Higher Dimensions
Illuminating the Fourth Dimension
IEEE Computer Graphics and Applications
A constraint-based god-object method for haptic display
IROS '95 Proceedings of the International Conference on Intelligent Robots and Systems-Volume 3 - Volume 3
Interactive topological drawing
Interactive topological drawing
Haptic exploration of unknown objects
Haptic exploration of unknown objects
Proceedings of the 5th international conference on Multimodal interfaces
Real-time knot-tying simulation
The Visual Computer: International Journal of Computer Graphics
A Haptic-Rendering Technique Based on Hybrid Surface Representation
IEEE Computer Graphics and Applications
Haptic rendering with predictive representation of local geometry
HAPTICS'04 Proceedings of the 12th international conference on Haptic interfaces for virtual environment and teleoperator systems
Physically interacting with four dimensions
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
A python based 4d visualization environment
ICICA'12 Proceedings of the Third international conference on Information Computing and Applications
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Just as we can work with two-dimensional floor plans to communicate 3D architectural design, we can exploit reduced-dimension shadows to manipulate the higher-dimensional objects generating the shadows.In particular, by taking advantage of physically reactive 3D shadow-space controllers, we can transform the task of interacting with 4D objects to a new level of physical reality.We begin with a teaching tool that uses 2D knot diagrams to manipulate the geometry of 3D mathematical knots via their projections; our unique 2D haptic interface allows the user to become familiar with sketching, editing, exploration, and manipulation of 3D knots rendered as projected imageson a 2D shadow space. By combining graphics and collision-sensing haptics, we can enhance the 2D shadow-driven editing protocol to successfully leverage 2D pen-and-paper or blackboard skills. Building on the reduced-dimension 2D editing tool for manipulating 3D shapes, we develop the natural analogy to produce a reduced-dimension 3D tool for manipulating 4D shapes.By physically modeling the correct properties of 4D surfaces, their bending forces, and their collisions in the 3D haptic controller interface, we can support full-featured physical exploration of 4D mathematical objects in a manner that is otherwise far beyond the experience accessible to human beings.As far as we are aware, this paper reports the first interactive system with force-feedback that provides "4D haptic visualization" permitting the user tomodel and interact with 4D cloth-like objects.