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Physically interacting with four dim...

Indiana University., Computer Sciences.

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Physically interacting with four dimensions.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Physically interacting with four dimensions./
作者:	Zhang, Hui.
面頁冊數:	216 p.
附註:	Adviser: Andrew J. Hanson.
Contained By:	Dissertation Abstracts International70-02B.
標題:	Computer Science. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3344615
ISBN:	9781109027594

Physically interacting with four dimensions.
Zhang, Hui.

Physically interacting with four dimensions. - 216 p.

Adviser: Andrew J. Hanson.

Thesis (Ph.D.)--Indiana University, 2009.

People have long been fascinated with understanding the fourth dimension. While making pictures of 4D objects by projecting them to 3D can help reveal basic geometric features, 3D graphics images by themselves are of limited value. For example, just as 2D shadows of 3D curves may have lines crossing one another in the shadow, 3D graphics projections of smooth 4D topological surfaces can be interrupted where one surface intersects another.

ISBN: 9781109027594Subjects--Topical Terms:

626642
Computer Science.

Physically interacting with four dimensions.
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245 1 0 $a Physically interacting with four dimensions.
300 $a 216 p.
500 $a Adviser: Andrew J. Hanson.
500 $a Source: Dissertation Abstracts International, Volume: 70-02, Section: B, page: 1147.
502 $a Thesis (Ph.D.)--Indiana University, 2009.
520 $a People have long been fascinated with understanding the fourth dimension. While making pictures of 4D objects by projecting them to 3D can help reveal basic geometric features, 3D graphics images by themselves are of limited value. For example, just as 2D shadows of 3D curves may have lines crossing one another in the shadow, 3D graphics projections of smooth 4D topological surfaces can be interrupted where one surface intersects another.
520 $a The research presented here creates physically realistic models for simple interactions with objects and materials in a virtual 4D world. We provide methods for the construction, multimodal exploration, and interactive manipulation of a wide variety of 4D objects. One basic achievement of this research is to exploit the free motion of a computer-based haptic probe to support a continuous motion that follows the local continuity of a 4D surface, allowing collision-free exploration in the 3D projection. In 3D, this interactive probe follows the full local continuity of the surface as though we were in fact physically touching the actual static 4D object.
520 $a Our next contribution is to support dynamic 4D objects that can move, deform, and collide with other objects as well as with themselves. By combining graphics, haptics, and collision-sensing physical modeling, we can thus enhance our 4D visualization experience. Since we cannot actually place interaction devices in 4D, we develop fluid methods for interacting with a 4D object in its 3D shadow image using adapted reduced-dimension 3D tools for manipulating objects embedded in 4D. By physically modeling the correct properties of 4D surfaces, their bending forces, and their collisions in the 3D interactive or haptic controller interface, we can support full-featured physical exploration of 4D mathematical objects in a manner that is otherwise far beyond the real-world experience accessible to human beings.
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773 0 $t Dissertation Abstracts International $g 70-02B.
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790 1 0 $a Wu, Yuqing $e committee member
790 1 0 $a Yu, Chen $e committee member
791 $a Ph.D.
792 $a 2009
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