A Note on the Measurements of Quantized Areas and Boundaries.
MARYLAND UNIV COLLEGE PARK COMPUTER VISION LAB
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Pixels in quantized pictures are considered as cells in a grid, but a pixel may be represented by a lattice point placed at its center. It is argued that the perimeter of an area is its grid point boundary, not its lattice point boundary, the former always being 4 units greater than the latter, whatever the shape of the area. Use of the grid point boundary gives satisfactory values of perimeter, P, area, A, and compactness, P squared, with a minimum value of 16 for P squared. However, quantized drawn lines are most conveniently represented by the line joining lattice points, if an empirical procedure is adopted to remove ambiguities arising from the quantization. Author
- Numerical Mathematics