Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Curved surfaces and coherence for non-penetrating rigid body simulation
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Approximation hierarchies and S-bounds
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
OBBTree: a hierarchical structure for rapid interference detection
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
V-Clip: fast and robust polyhedral collision detection
ACM Transactions on Graphics (TOG)
ArtDefo: accurate real time deformable objects
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Interactive animation of structured deformable objects
Proceedings of the 1999 conference on Graphics interface '99
The motion dynamics of snakes and worms
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Dynamic real-time deformations using space & time adaptive sampling
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
D-NURBS: A Physics-Based Framework for Geometric Design
IEEE Transactions on Visualization and Computer Graphics
A study of level-of-detail in haptic rendering
ACM Transactions on Applied Perception (TAP)
GPU in Haptic Rendering of Deformable Objects
EuroHaptics '08 Proceedings of the 6th international conference on Haptics: Perception, Devices and Scenarios
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Enhancing graphical objects whose behaviors are governed by the laws of physics is an important requirement in modeling virtual physical environments. In such environments, the user can interact with graphical objects and is able to either feel the simulated reaction forces through a physical computer interface such as a force feedback mouse or through such interactions, objects behave in a natural way. One of the key requirements for such interaction is determination of the type of contact between the user controlled object and the objects representing the environment. This paper presents an approach for reconstructing the contact configuration between two objects. This is accomplished through usage of the time history of the motion of the approaching objects for inverse trajectory mapping of polygonal representation. In the case of deformable objects and through usage of mass-spring-damper system this paper also presents a special global filter that can map the local deformation of an object to the adjacent vertices of polygonal mesh. In addition to offering a fast computational framework, the proposed method also offers more realistic representation of the deformation. The results of this paper are shown through detailed examples and comparison analysis using different computational platforms.