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Proceedings Paper

Displaying a 2 1/2-D object using an argument principle
Author(s): Jesse S. Jin; Wai K. Yeap; Brian G. Cox
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Paper Abstract

Although humans live in a 3D world, their immediate perception is 21/2D, i.e., a 2D description of each surface and their (relative) distance from the viewer. One of the most well- known processes which compute such information is the binocular stereopsis. However, depth information obtained from stereoscopic images is sparse, available mainly at the edges of objects. For such images with no texture, it has been shown that humans employ a linear interpolating mechanism to recover depth information at other points in the image. Displaying such an object poses two problems. The first is concerned with deriving a suitable representation of each surface in view. This problem is compounded by the fact that the distance information obtained is inaccurate. The second is concerned with deciding which surface a point belongs to. This problem is simple for a convex polygon but proves to be difficult for any concave or ambiguous polygons. Using an argument principle in an analytically continued region, an algorithm is derived which can determine a point's location by accumulating the angular increment along the boundary of the polygon. If the sum is +/- 2(pi) then the point is inside the polygon. If it is O(pi) the point is outside.

Paper Details

Date Published: 19 May 1992
PDF: 9 pages
Proc. SPIE 1657, Image Processing Algorithms and Techniques III, (19 May 1992); doi: 10.1117/12.58353
Show Author Affiliations
Jesse S. Jin, Univ. of Otago (New Zealand)
Wai K. Yeap, Univ. of Otago (New Zealand)
Brian G. Cox, Univ. of Otago (New Zealand)

Published in SPIE Proceedings Vol. 1657:
Image Processing Algorithms and Techniques III
James R. Sullivan; Benjamin M. Dawson; Majid Rabbani, Editor(s)

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