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Abstract: As computational performance becomes more readily available, there will be an increasing variety of interactive graphical applications with iterative numerical techniques at their core. In this paper, we consider how to support the unique demands of such applications. In particular, we focus on how to set up the numerical problems which must be solved. In the context of interactive systems, this requires the ability to dynamically compose systems of equations and rapidly evaluate them and their ... (Update)
Context of citations to this paper: More
...the fly in response to user interactions. Thus, we use an approach first introduced by [WK88] and further developed and encapsulated in[GW93]. This snap togethermath system provides data structures that represent functional elements that are wired together with composition....
...iteration to exploit derivative information. Some systems use automatic differentiation to relieve the user from specifying derivatives [58], while others simply limit the set of functions known to the underlying solver. Juno 2 s solver performs numerous optimizations,...
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BibTeX entry: (Update)
Michael Gleicher and Andrew Witkin. Supporting numerical computations in interactive contexts. In Tom Calvert, editor, Graphics Interface, pages 138--145, May 1993. http://citeseer.ist.psu.edu/gleicher93supporting.html More
@inproceedings{ gleicher93supporting,
author = "Michael Gleicher and Andrew Witkin",
title = "Supporting numerical computations in interactive contexts",
booktitle = "Proceedings of Graphics Interface '93",
address = "Toronto, Ontario, Canada",
pages = "138--146",
year = "1993",
url = "citeseer.ist.psu.edu/gleicher93supporting.html" }
Citations (may not include all citations):322 Direct Methods for SparseMatrices (context) - Duff, Erisman et al. - 1986
146 Spacetime constraints - Witkin, Kass - 1988
90 On automatic differentiation - Griewank - 1989
87 Analytical methods for dynamic simulation of non-penetrating.. - Baraff - 1989
74 Unidraw: A framework for building domain specific graphical .. (context) - Vlissides, Linton - 1989
68 Through-the-lens camera control - Gleicher, Witkin - 1992
64 Sketchpad: A Man Machine Graphical Communication System (context) - Sutherland - 1963
60 a constraint based graphics system (context) - Nelson - 1985
35 Tcl: An embeddable command language - Osterhout - 1990
33 A taxonomy of automatic differentiation tools - Juedes - 1991
25 and William Welch (context) - Witkin, Gleicher - 1990
24 CONDOR: constraint-baseddata flow (context) - Kass - 1992
21 Strauss and Rikk Carey (context) - Paul - 1992
19 Manipulator inverse kinematic solutions based on vector form.. (context) - Wampler - 1986
16 Integrating constraints and direct manipulation - Gleicher - 1992
14 and William Vetterling (context) - Press, Flannery et al. - 1986
13 Differential manipulation - Gleicher, Witkin - 1991
10 A modeling system based on dynamic constaints (context) - Barzel, Barr - 1988
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7 Computer Graphics (context) - Bier, Stone - 1986
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6 Variational surface modelling (context) - Welch, Witkin - 1992
5 Geometric manipulation of tensor-product surfaces (context) - Fowler - 1992
5 A constraint-basedfigure maker (context) - andAlanH - 1991
4 The virtual erector set: Dynamic simulation with linear recu.. (context) - Schroeder, Zeltzer - 1990
4 The thingworld modeling system (context) - Pentland, Essa et al. - 1990
3 physically-based modelling of large proteins (context) - Surles, for et al. - 1992
2 Computer Program (context) - Corporation - 1992
2 CGVIP: Graphical Models and Image Processing (context) - Platt, of et al. - 1992
2 and Andries van Dam (context) - Conner, Snibbe et al. - 1992
1 Constraint techniques for interactive physically-based model.. (context) - Kaufman - 1991
1 Virtual Prototyping: An Interactive Approach to Geometric To.. (context) - Sapossnek - 1993
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