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Circular and parabolic visibility an...

Chou, Shuo-Yan.

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Circular and parabolic visibility and their applications.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Circular and parabolic visibility and their applications./
Author:	Chou, Shuo-Yan.
Description:	126 p.
Notes:	Source: Dissertation Abstracts International, Volume: 53-05, Section: B, page: 2479.
Contained By:	Dissertation Abstracts International53-05B.
Subject:	Engineering, Industrial. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9226872

Circular and parabolic visibility and their applications.
Chou, Shuo-Yan.

Circular and parabolic visibility and their applications. - 126 p.

Source: Dissertation Abstracts International, Volume: 53-05, Section: B, page: 2479.

Thesis (Ph.D.)--University of Michigan, 1992.

In this thesis, the notions of circular and parabolic visibility are introduced as generalizations to linear visibility in the context of computational geometry. Fundamental visibility problems which have been solved with linear visibility are solved with circular and parabolic visibility. Additionally, applications beyond linear visibility are identified with circular or parabolic visibility.Subjects--Topical Terms:

626639
Engineering, Industrial.

Circular and parabolic visibility and their applications.
LDR:02683nmm 2200301 4500 001 1816453
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008 130610s1992 eng d
035 $a (UnM)AAI9226872
035 $a AAI9226872
040 $a UnM $c UnM
100 1 $a Chou, Shuo-Yan. $3 923847
245 1 0 $a Circular and parabolic visibility and their applications.
300 $a 126 p.
500 $a Source: Dissertation Abstracts International, Volume: 53-05, Section: B, page: 2479.
500 $a Chairman: Tony C. Woo.
502 $a Thesis (Ph.D.)--University of Michigan, 1992.
520 $a In this thesis, the notions of circular and parabolic visibility are introduced as generalizations to linear visibility in the context of computational geometry. Fundamental visibility problems which have been solved with linear visibility are solved with circular and parabolic visibility. Additionally, applications beyond linear visibility are identified with circular or parabolic visibility.
520 $a The circular arcs emanating from a fixed point are classified with respect to the edge of the simple polygon that they hit. By representing these circular visibility arcs by their corresponding centers, a plane partition is obtained. With the ability to compute such a plane partition, the region inside a simple polygon, which is circularly visible to a point or an edge, is computed accordingly. Such a partition is also computed with respect to a point inside a non-simple polygon. Similarly, the classification of the parabolic arcs with respect to the edge of a simple polygon the arcs hit is also achieved with a plane partition, in that the visibility parabolas are represented by their corresponding foci.
520 $a Applications in the areas of robot motion planning and process modeling are discussed. Circular visibility is utilized to characterize robot motion planning, where the trajectory of the motion of a robot is characterized with circular arcs. Three problems, including the rotational separability problem, the minimum circular link path problem, and rotary joint positioning problem, are formulated. Parabolic visibility is utilized to characterize the chemical vapor deposition process, in which the trajectory of the motion of the deposited chemical is characterized with parabolic arcs. The amount of chemicals a surface point receives is solved as a point parabolic visibility problem.
590 $a School code: 0127.
650 4 $a Engineering, Industrial. $3 626639
650 4 $a Engineering, Mechanical. $3 783786
650 4 $a Computer Science. $3 626642
690 $a 0546
690 $a 0548
690 $a 0984
710 2 0 $a University of Michigan. $3 777416
773 0 $t Dissertation Abstracts International $g 53-05B.
790 1 0 $a Woo, Tony C., $e advisor
790 $a 0127
791 $a Ph.D.
792 $a 1992
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9226872