Abstract
We present a novel and interesting method for representing scanning curves for the coverage of surfaces by means of chain coding. We describe scanning curves for the coverage of surfaces using a chain code. Thus, scanning curves are composed of constant straight-line segments using only orthogonal directions and are represented by means of the orthogonal direction change chain code, which can describe three-dimensional curves. Surfaces which are represented using the orthogonal direction change chain code are called discrete surfaces. The chain elements represent the orthogonal direction changes of the constant straight-line segments of the scanning curve for the coverage of a surface. There are only five possible orthogonal direction changes for representing any scanning curve. This chain code only considers relative direction changes, which allows us to have a unique surface descriptor invariant under translation and rotation. Also, this surface descriptor may be invariant under starting point and mirroring transformations. Finally, in order to demonstrate the use of our proposed method, we present some results using surfaces from digital elevation model data and digital images.
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