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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.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential surface kinematics for time-varying, surface-surface floating contact interactions./
作者:	Nelson, Donald Douglas.
面頁冊數:	122 p.
附註:	Source: Dissertation Abstracts International, Volume: 64-02, Section: B, page: 0813.
Contained By:	Dissertation Abstracts International64-02B.
標題:	Computer Science. -
電子資源:	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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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.
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650 4 $a Computer Science. $3 626642
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mechanics. $3 1018410
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710 2 0 $a The University of Utah. $3 1017410
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856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3080606