OBBTree: a hierarchical structure for rapid interference detection
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Virtual Reality Technology
Collision Detection
Real-Time Collision Detection (The Morgan Kaufmann Series in Interactive 3-D Technology) (The Morgan Kaufmann Series in Interactive 3D Technology)
SQ-Map: Efficient Layered Collision Detection and Haptic Rendering
IEEE Transactions on Visualization and Computer Graphics
Ray tracing deformable scenes using dynamic bounding volume hierarchies
ACM Transactions on Graphics (TOG)
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IEEE MultiMedia
GPU-Based Distance Map Calculation for Vector Field Haptic Rendering
WHC '07 Proceedings of the Second Joint EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems
Continuous collision detection for articulated models using Taylor models and temporal culling
ACM SIGGRAPH 2007 papers
Velocity-Aligned Discrete Oriented Polytopes for Dynamic Collision Detection
IEEE Transactions on Visualization and Computer Graphics
Haptic Rendering of Dynamic Volumetric Data
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Haptic Rendering: Foundations, Algorithms and Applications
Haptic Rendering: Foundations, Algorithms and Applications
WHC '09 Proceedings of the World Haptics 2009 - Third Joint EuroHaptics conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems
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This paper presents a framework for haptic rendering in virtual environments based on distance maps over implicit support plane mappings. Initially, a rigid 3D object is modelled using support plane mappings so as to efficiently perform collision detection. Then, and after the collision queries are resolved, the surface of the 3D object can be directly reconstructed in constant time, using the equations of the support planes and the discrete distance map that encodes the distance of the object surface from the support plane. As a result analytical formulae can be extracted that provide the force feedback only as a function of the 3D object spatial transformation and position of the haptic probe. Experimental evaluation and computational complexity analysis demonstrates that the proposed approach can reduce significantly the computational cost when compared to existing collision detection and haptic rendering methods