Lacunarity is related to the spatial distribution of gap or hole sizes. For low lacunarity, all gap sizes are the same and geometric objects are deemed homogeneous; conversely, for high lacunarity, gap sizes are variable and objects are therefore heterogeneous. Textures that are homogeneous at small scales can be quite heterogeneous at large scales and vice versa, and hence, lacunarity can be considered a scale-dependent measure of heterogeneity or texture. In this article, we use a lacunarity method based on a differential box counting approach to identify urban land-use and land-cover classes from satellite sensor data. Our methodology focuses on two different gliding box methods to compute lacunarity values and demonstrate a mirror extension approach for a local moving window. The extension approach overcomes, or at least minimizes, the boundary problem. The results from our study suggest that the overlapping box approach is more effective than the skipping box approach, but that there is no significant difference between window sizes. Our work represents a contribution to not only advances in textural and spatial metrics as used in remote-sensing pattern interpretation but also for broadening understanding of the computational geometry of nonlinear shape models of which lacunarity is the reciprocal of fractal theory.
ASJC Scopus subject areas
- Geography, Planning and Development
- Earth-Surface Processes
Lacunarity inahusiana na usambazaji wa nafasi ya ukubwa wa pengo au shimo. Kwa lacunarity chini, ukubwa wote pengo ni sawa na vitu geometric ni kuchukuliwa homogeneous; kinyume chake, kwa lacunarity juu, ukubwa pengo ni kutofautiana na vitu ni kwa hiyo heterogeneous. Uundaji wa rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi ya rangi. Katika makala hii, sisi kutumia lacunarity mbinu kulingana na tofauti sanduku kuhesabu mbinu ya kutambua mijini matumizi ya ardhi na ardhi-kufunika madarasa kutoka data ya sensor satelaiti. Mbinu yetu inazingatia mbinu mbili tofauti gliding sanduku kuhesabu lacunarity maadili na kuonyesha kioo upanuzi mbinu kwa ajili ya dirisha kuhama ndani. Njia ya upanuzi inashinda, au angalau hupunguza, tatizo la mpaka. Matokeo ya utafiti wetu yanaonyesha kwamba mbinu ya sanduku la kuingiliana ni bora kuliko mbinu ya kutoroka sanduku, lakini hakuna tofauti kubwa kati ya ukubwa wa dirisha. Kazi yetu inawakilisha mchango kwa maendeleo katika metriki textural na nafasi kama kutumika katika remote sensing muundo tafsiri, lakini pia kwa kupanua uelewa wa jiometri computational ya mifano ya umbo nonlinear ambayo lacunarity ni reciprocal ya fractal nadharia. ASJC Scopus: Jiografia, Mipango na Maendeleo - Mchakato wa Dunia