By Sharma M.C.

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A string is a sequence of line segments that does not have nodes, node IDs, left/right IDs, nor any intersections with itself or with other strings. An arc is a locus of points, which form a curve defined by a mathematical function such as a spline. A link is a connection between two nodes, while a directed link is a link with one direction specified. A chain is a directed sequence of non-intersecting line segments or arcs with nodes at each end. It may be a complete chain having node IDs and left/right area IDs, an area chain having left/right area IDs but no nodes IDs, or a network chain having nodes IDs but no left/right area IDs.

This is evident in the classification of remotely sensed images, where each pixel is assigned a single dominant class, and where contiguous patches of pixels with identical classes are further smoothed to generate polygonal maps and to remove unsightly ‘jaggies’ that result from following pixel edges. Therefore, uncertainties occur in using the grid or polygon models for categorical variables when spatial variations within cells and polygons are generalised, allowing only for a single and dominant category for each cell or polygon.

In the domain of discrete objects, geometric operations are performed to identify intersections and to infer about topological relationships such as connectivity and containment. Object processing based on vector structures tends to be rather complicated due to the need for searching neighbourhoods and other spatial relationships in addition to performing geometric computing, which is itself intensive. In the realm of rasterised fields, on the other hand, algebraic and logic operators are easily implemented with spatially explicit evaluation of layered distributions.

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41 Projects Using IC 741 OP AMP by Sharma M.C.


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