Displaying a 2 1/2-D object using an argument principle

Jesse S. Jin; Wai K. Yeap; Brian G. Cox

doi:10.1117/12.58353

19 May 1992 Displaying a 2 1/2-D object using an argument principle

Jesse S. Jin, Wai K. Yeap, Brian G. Cox

Proceedings Volume 1657, Image Processing Algorithms and Techniques III; (1992) https://doi.org/10.1117/12.58353
Event: SPIE/IS&T 1992 Symposium on Electronic Imaging: Science and Technology, 1992, San Jose, CA, United States

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.

Citation Download Citation

Jesse S. Jin, Wai K. Yeap, and Brian G. Cox "Displaying a 2 1/2-D object using an argument principle", Proc. SPIE 1657, Image Processing Algorithms and Techniques III, (19 May 1992); https://doi.org/10.1117/12.58353

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
9 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Image processing

Matrices

Gold

Silicon

Algorithm development

Aluminum

Information operations

Show All Keywords

Keywords/Phrases

Search In:

Publication Years