then we say that E is (a, 6)-porous. By the Lebesgue Density Theorem it is clear that these kinds of sets 'full of gaps (i.e. pores)' are of zero Lebesgue measure. The main objective of this paper is to study the geometric structure of a set E which is strongly porous in the sense that (1) or (2) holds for some a near 1, the greatest possible value for a.Replacing 'lim inf by 'lim sup' in (1) would of course give a weaker condition. Sets satisfying such a weaker porosity condition are not considered in this paper. This is because such sets may have Hausdorff dimension n, and we are interested in non-trivial upper dimension bounds for porous sets.Consider next an (a, <5)-porous set E which is bounded. Let k be the unique integer in (4y/n/a +1, 4y/n/a + 2] and take d = d(a,n) 0). Let 0 < a' < a. It is easy to see (Lemma 3.2(d)) that E can be represented as a union E = U/°=i £/ such that for each ;, E t -is (a', <5)-porous for some 6 = 8(j) > 0. Thus by the above argument H-dim(Ej) *£ d(a', n)
Models using NOAA AVHRR data for estimating the areal distribution of biomass over the Boreal coniferous zone are developed. The method uses corresponding models that are estimated using Landsat TM data as input, and includes a mosaicing scheme for AVHRR images to cover very extensive areas. The estimation method may be adjusted to some other forest characteristics too. 200/SPIE Vol. 2314 O-8194-1644-4/95/$6.OO Downloaded From: http://proceedings.spiedigitallibrary.org/ on 06/21/2016 Terms of Use: http://spiedigitallibrary.org/ss/TermsOfUse.aspx
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