id: 01192799 dt: j an: 01192799 au: Charles, P.D.; Brown, C.A.; Johnsen, W.A. ti: Inverse patchwork transform. so: Fractals 2, No.3, 429-431 (1994). py: 1994 pu: World Scientific, Singapore la: EN cc: ut: patchwork method ci: li: doi:10.1142/S0218348X94000582 ab: Summary: The patchwork method uses triangular patches to estimate surface area as a function of patch size. The patch area can be interpreted as a scale of observation. Using the patchwork method, one can identify crossover scales, or thresholds, which distinguish scales where a surface is best described by Euclidean or fractal geometries. An inverse patchwork transform is proposed by which a set of relative areas and crossover data can be transformed to derive topographical data. The inverse patchwork transform and patchwork method provide mathematical basis functions for conversion between two domains-scales of observation and surface topography, providing a system for synthesizing surface data with desired characteristics. This method can also serve as a tool for aiding in surface design and manufacture. rv: