Journal article
Geometrically-Aware Interactive Object Manipulation
Computer graphics forum, Vol.19(1), pp.65-76
03/2000
DOI: 10.1111/1467-8659.00388
Abstract
This paper describes formulation and management of constraints, and a nonlinear optimization algorithm that together enable interactive geometrically aware manipulation of articulated objects. Going beyond purely kinematic or dynamic approaches, our solution method directly employs geometric constraints to ensure non-interpenetration during object manipulation. We present the formulation of the inequality constraints used to ensure nonpenetration, describe how to manage the set of active inequality constraints as objects move, and show how these results are combined with a nonlinear optimization algorithm to achieve interactive geometrically aware object manipulation. Our optimization algorithm handles equality and inequality constraints and does not restrict object topology. It is an efficient iterative algorithm, quadratically convergent, with each iteration bounded by O(nnz(L)), where nnz(L) is the number of non-zeros in L, a Cholesky factor of a sparse matrix.
Details
- Title: Subtitle
- Geometrically-Aware Interactive Object Manipulation
- Creators
- Min-Hyung Choi - University of Colorado DenverJames F Cremer - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Computer graphics forum, Vol.19(1), pp.65-76
- Publisher
- Blackwell Publishers
- DOI
- 10.1111/1467-8659.00388
- ISSN
- 0167-7055
- eISSN
- 1467-8659
- Number of pages
- 12
- Language
- English
- Date published
- 03/2000
- Academic Unit
- Computer Science
- Record Identifier
- 9984259497802771
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