2013
DOI: 10.1177/1473871613477853
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Multi-scale analysis of linear data in a two-dimensional space

Abstract: Many disciplines are faced with the problem of handling time-series data. This study introduces an innovative visual representation for time series, namely the continuous triangular model. In the continuous triangular model, all subintervals of a time series can be represented in a two-dimensional continuous field, where every point represents a subinterval of the time series, and the value at the point is derived through a certain function (e.g. average or summation) of the time series within the subinterval.… Show more

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Cited by 14 publications
(21 citation statements)
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“…Qiang et al [57] propose an original technique for simultaneously representing movement characteristics in full detail and at different levels of aggregation. In a 2D display, the horizontal dimension represents time or the street extent, and the vertical dimension corresponds to different levels of aggregation, from maximal detail at the bottom to maximal aggregation (i.e., a single value) at the top.…”
Section: Movement Dynamics Along a Routementioning
confidence: 99%
“…Qiang et al [57] propose an original technique for simultaneously representing movement characteristics in full detail and at different levels of aggregation. In a 2D display, the horizontal dimension represents time or the street extent, and the vertical dimension corresponds to different levels of aggregation, from maximal detail at the bottom to maximal aggregation (i.e., a single value) at the top.…”
Section: Movement Dynamics Along a Routementioning
confidence: 99%
“…Continuous temporal model A conceptually appealing model to represent the multi-temporal nature of geographical information is the CTM (Qiang et al 2013). 2 This model is an extension of a 2D representation of intervals, the triangular model (TM) (Qiang et al 2010(Qiang et al , 2012a(Qiang et al , 2012b, which was originally introduced by Ligozat (1994Ligozat ( , 1997 and Kulpa (1997Kulpa ( , 2006.…”
Section: Multi-scale Temporal Analysis Versus Multi-scale Spatial Anamentioning
confidence: 99%
“…In this way, the horizontal position of the point in the triangle represents the midpoint mid(I) of the interval and the vertical position h represents its duration dur(I) (Figure 2b). Qiang et al (2013) extended TM to a continuous space, leading to CTM. CTM can be used effectively for multi-scale temporal analysis.…”
Section: Multi-scale Temporal Analysis Versus Multi-scale Spatial Anamentioning
confidence: 99%
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“…He argues that this approach is advantageous in various applications and theoretical and has comprehensively elaborated its use in qualitative interval reasoning and interval arithmetic. Van de Weghe et al (2007) (Qiang, et al, 2010) and interval analysis (Qiang, et al, 2012a;2012b, 2013. Since the TM displays a set of intervals within a stable point structure, it offers special insights into interval distributions, particularly when a large amount of intervals are represented in it.…”
Section: Introductionmentioning
confidence: 99%