本文關(guān)鍵詞：利用Minkowski距離逼近道路網(wǎng)絡(luò)距離算法研究　出處：《武漢大學(xué)學(xué)報(bào)(信息科學(xué)版)》2017年10期 　論文類型：期刊論文

  更多相關(guān)文章： Minkowski距離 道路網(wǎng)絡(luò) 距離逼近 彎曲度 地理加權(quán)回歸分析

【摘要】：道路網(wǎng)絡(luò)背景下的距離度量(如道路網(wǎng)絡(luò)距離、旅行時(shí)間)是在空間分析或空間統(tǒng)計(jì)過程中常用的距離度量,但在科研過程中由于道路數(shù)據(jù)的可獲得性和精度等方面的限制,該類距離的計(jì)算可能較為困難。Minkowski距離函數(shù)是歐氏空間中的廣義距離函數(shù),其參數(shù)p值的不同代表著對(duì)空間不同的度量。利用Minkowski的通用性和靈活性(參數(shù)p不同的取值),研究如何更好地逼近道路網(wǎng)絡(luò)距離。同時(shí),探索不同道路網(wǎng)絡(luò)的部分計(jì)量特征(如密度、彎曲度等)與最優(yōu)p值之間的關(guān)系。實(shí)驗(yàn)證明,相對(duì)于最常用的歐氏距離度量,優(yōu)選p值后的Minkowski距離函數(shù)能夠更大程度上逼近道路距離。而通過對(duì)道路網(wǎng)絡(luò)計(jì)量特征與最優(yōu)p值之間的關(guān)系的分析,指出了彎曲度與最優(yōu)p值之間的對(duì)應(yīng)關(guān)系,它對(duì)于p值的選擇具有重要的指導(dǎo)意義。此外,為了驗(yàn)證Minkowski距離逼近算法的可行性,以地理加權(quán)回歸分析為例,通過對(duì)比傳統(tǒng)的歐氏距離度量、最優(yōu)Minkowski距離度量和道路網(wǎng)絡(luò)距離(旅行時(shí)間)對(duì)模型解算結(jié)果的影響,指出優(yōu)選后Minkowski距離一定程度上更接近于采用旅行時(shí)間對(duì)模型解算的結(jié)果。
[Abstract]:Distance measurement (such as distance of road network, travel time) in the background of road network is commonly used in the process of spatial analysis or spatial statistics. However, due to the limitation of road data availability and precision in scientific research, it may be difficult to calculate this kind of distance. Minkowski distance function is a generalized distance function in Euclidean space. The difference of parameter p represents different measurements of space. By using the generality and flexibility of Minkowski, the paper studies how to approach the distance of road network better. At the same time. The relationship between the partial metrological characteristics (such as density, curvature, etc.) of different road networks and the optimal p value is explored. The experiments show that this method is relative to the most commonly used Euclidean distance measure. The Minkowski distance function after selecting p value can approach the road distance to a greater extent, and through the analysis of the relationship between the metrological characteristics of road network and the optimal p value. The corresponding relationship between the curvature and the optimal p value is pointed out, which has important guiding significance for the selection of p value. In addition, in order to verify the feasibility of the Minkowski distance approximation algorithm. Taking geographical weighted regression analysis as an example, the effects of traditional Euclidean distance metric, optimal Minkowski distance measurement and road network distance (travel time) on the results of the model are compared. It is pointed out that the Minkowski distance after optimal selection is closer to the result of using travel time to solve the model.
【作者單位】： 武漢大學(xué)遙感信息工程學(xué)院;中國民航科學(xué)技術(shù)研究院航空安全技術(shù)實(shí)驗(yàn)室;72515部隊(duì);
【基金】：國家自然科學(xué)基金(41401455,U1533102) 地理國情監(jiān)測(cè)國家測(cè)繪地理信息局重點(diǎn)實(shí)驗(yàn)室開放基金(2015NGSM10)~~
【分類號(hào)】：P208;U491
【正文快照】： 項(xiàng)目資助:國家自然科學(xué)基金(41401455,U1533102);地理國情監(jiān)測(cè)國家測(cè)繪地理信息局重點(diǎn)實(shí)驗(yàn)室開放基金(2015NGSM10)。在空間分析和統(tǒng)計(jì)技術(shù)應(yīng)用的過程中,空間距離度量的使用非常普遍,如插值技術(shù)、空間相關(guān)性分析和空間聚類分析等。而歐氏距離(Euclide-an distance)度量往往是默，

本文編號(hào)：1408011