β Scribed by Byung Soo Moon
No coin nor oath required. For personal study only.
A representation of digitized patterns by using a cubic spline function is described in this paper. Each black pixel (k, l ) is represented by the Cartesian product of the cubic B-splines B I (x) and B J (y) and the sum S(x, y) of these B I (x);B J (y) for all nonzero pixels is used for the representation. We prove that if one starts from a pixel located at the right edge of the surface z"s(x, y) and follows the direction of ;r where r"(x, y, S(x, y)), then the path stays on the right edge of the surface. This fact is used to derive a very e$cient thinning algorithm. A few examples are included to verify our algorithm.
π SIMILAR VOLUMES
## Abstract Soil moisture influences many hydrologic applications including agriculture, land management and flood prediction. Most remoteβsensing methods that estimate soil moisture produce coarse resolution patterns, so methods are required to downscale such patterns to the resolutions required b