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Differential surface kinematics for ...

Nelson, Donald Douglas.

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Differential surface kinematics for time-varying, surface-surface floating contact interactions.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential surface kinematics for time-varying, surface-surface floating contact interactions./
Author:	Nelson, Donald Douglas.
Description:	122 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-02, Section: B, page: 0813.
Contained By:	Dissertation Abstracts International64-02B.
Subject:	Computer Science. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3080606

Differential surface kinematics for time-varying, surface-surface floating contact interactions.
Nelson, Donald Douglas.

Differential surface kinematics for time-varying, surface-surface floating contact interactions. - 122 p.

Source: Dissertation Abstracts International, Volume: 64-02, Section: B, page: 0813.

Thesis (Ph.D.)--The University of Utah, 2003.

Algorithms to compute surface gradients are a key part of many constraint satisfaction and constrained optimization techniques. Methods to solve nonlinear problems use the surface Jacobian to help determine the next value in iterative schemes. In the past, graphics techniques that were intended for interactive rate solutions relied on numerical approximations to evaluate the Jacobian. To overcome the inaccuracies and instabilities that result from these numerical methods, we present a fast, closed form solution for obtaining the surface Jacobian. We have created a constraint framework in which to test contact, self-assembly, and surface impact problems using the analytical formulation presented here. In this work we develop the analytical solution in the context of the floating contact problem. By generalizing and reformulating a previous result in differential surface kinematics, we show that this technique also yields a parametric coordinate update for minimum distance for haptics and virtual reality applications. The utility of this formulation for surface impact dynamics and optimal surface configuration is also shown.Subjects--Topical Terms:

626642
Computer Science.

Differential surface kinematics for time-varying, surface-surface floating contact interactions.
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035 $a (UnM)AAI3080606
035 $a AAI3080606
040 $a UnM $c UnM
100 1 $a Nelson, Donald Douglas. $3 1942345
245 1 0 $a Differential surface kinematics for time-varying, surface-surface floating contact interactions.
300 $a 122 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-02, Section: B, page: 0813.
500 $a Adviser: Elaine Cohen.
502 $a Thesis (Ph.D.)--The University of Utah, 2003.
520 $a Algorithms to compute surface gradients are a key part of many constraint satisfaction and constrained optimization techniques. Methods to solve nonlinear problems use the surface Jacobian to help determine the next value in iterative schemes. In the past, graphics techniques that were intended for interactive rate solutions relied on numerical approximations to evaluate the Jacobian. To overcome the inaccuracies and instabilities that result from these numerical methods, we present a fast, closed form solution for obtaining the surface Jacobian. We have created a constraint framework in which to test contact, self-assembly, and surface impact problems using the analytical formulation presented here. In this work we develop the analytical solution in the context of the floating contact problem. By generalizing and reformulating a previous result in differential surface kinematics, we show that this technique also yields a parametric coordinate update for minimum distance for haptics and virtual reality applications. The utility of this formulation for surface impact dynamics and optimal surface configuration is also shown.
590 $a School code: 0240.
650 4 $a Computer Science. $3 626642
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mechanics. $3 1018410
690 $a 0984
690 $a 0405
690 $a 0346
710 2 0 $a The University of Utah. $3 1017410
773 0 $t Dissertation Abstracts International $g 64-02B.
790 1 0 $a Cohen, Elaine, $e advisor
790 $a 0240
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3080606