(alpha,beta)-type digital surfaces and general digital surfaces

Li Chen

doi:10.1117/12.323257

2 October 1998 (alpha,beta)-type digital surfaces and general digital surfaces

Li Chen

Proceedings Volume 3454, Vision Geometry VII; (1998) https://doi.org/10.1117/12.323257
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

Morgenthaler and Rosenfeld gave the first formal definition of digital surfaces. Kong and Roscoe embedded digital spaces to continuous spaces to show the intuitive meaning of Morgenthaler-Rosenfeld's surfaces. Reed and Rosenfeld discussed the recognition algorithms for digital surface. Chen and Zhang considered an intuitive and simple definition of digital manifolds in case of direct adjacency in digital spaces. This note continues the task. This note will simplify some concepts used and extended some concepts used. First, we continue to study all cases of ((alpha) , (beta) )- surfaces and eliminate some trivial and overlapping cases. Among nine types of digital surfaces, there are only two useful: (6,26)-surfaces and (18,6)-surfaces. We will develop or modify three algorithms for the three definitions. Because some visually true digital surface is not included in any of ((alpha) , (beta) )-surfaces, we will give a more general definition for digital surface in both direct and indirect adjacency. In order to develop a fast algorithm for real surface tracking, a quasi-digital-surface is defined even through sometimes the definition is weak in terms of mathematics.

Citation Download Citation

Li Chen "(alpha,beta)-type digital surfaces and general digital surfaces", Proc. SPIE 3454, Vision Geometry VII, (2 October 1998); https://doi.org/10.1117/12.323257

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KEYWORDS

Algorithm development

Detection and tracking algorithms

Analog electronics

Visualization

Image processing

3D image processing

Acquisition tracking and pointing

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