A haptic interaction method for volume visualization
Proceedings of the 7th conference on Visualization '96
The haptic display of complex graphical environments
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
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
An implicit-based haptic rendering technique
An implicit-based haptic rendering technique
Haptic Rendering: Introductory Concepts
IEEE Computer Graphics and Applications
A Haptic-Rendering Technique Based on Hybrid Surface Representation
IEEE Computer Graphics and Applications
3D Distance Fields: A Survey of Techniques and Applications
IEEE Transactions on Visualization and Computer Graphics
Haptic Rendering of Point Set Surfaces
WHC '07 Proceedings of the Second Joint EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems
A Bayesian approach to bandwidth selection for multivariate kernel density estimation
Computational Statistics & Data Analysis
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Haptic rendering of a point cloud data without a precomputed mesh structure is always a difficult problem. This paper tries to solve the problem of real time rendering a variable density 3D point cloud data as an optimization problem with a local kernel bandwidth estimation. In order to avoid the ambiguity of deciding the direction of reaction force while rendering the data we prefer a proxy based renderer. To avoid the proxy sinking into the object during collision the proxy point is always kept at minimum distance away from the object surface approximated by the point cloud. This minimum distance is computed during the rendering process depending on the local density of the points in the data using the kernel bandwidth estimation. Once collision is detected, we minimize a cost function depending on the current haptic interaction point (HIP) and proxy positions and find a new goal position for the proxy corresponding to the local minimum of the cost function. We validate the proposed technique by comparing the rendered force with the reaction force computed using a known spherical object.