Radfahr-Daten analysieren 

Daten, auf die direkt von Quellen wie RunKeeper zugegriffen oder die von Fitness-Apps heruntergeladen werden können, lassen sich leicht verarbeiten und analysieren.

Das folgende Beispiel zeigt die Zeitreihendarstellung einer Radfahrt und die Visualisierung der Fahrradroute auf einer Karte.

In[1]:=

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In[2]:=

X GeoGraphics[{AbsolutePointSize[3], Blue, Point[ts["Values"]]}, ImageSize -> Medium]

Out[2]=

Berechnen Sie die gesamte Strecke, die Fahrtdauer und die Durchschnittsgeschwindigkeit.

In[3]:=

X totalDuration = Quantity[(ts["LastTime"] - ts["FirstTime"])/60., "Minutes"]

Out[3]=

In[4]:=

X totalDistance = UnitConvert[Total[GeoDistance @@@ Partition[ts["Values"], 2, 1]], "Kilometers"]

Out[4]=

In[5]:=

X UnitConvert[totalDistance/totalDuration, "Kilometers per Hour"]

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Interessanter wird es, wenn Sie die Bergauf- und Bergababschnitte der Route, sowie die Gesamtstatistik mit der jeweiligen Fahrtdauer, den jeweiligen Distanzen und der Durchschnittsgeschwindigkeit für die Bergauf- und Bergababschnitte berechnen und anzeigen.

Extrahieren Sie Zeit, Position (geographische Länge und Breite) und Höhendaten aus der Zeitreihe.

In[6]:=

X times = ts["Times"]; position = Most /@ First /@ ts["Values"]; elevation = Last /@ First /@ ts["Values"];

Glätten Sie die Daten. Ermitteln und zeigen Sie die Spitzenwerte (rot) und Mindestwerte (grün) an.

Die gesamte Wolfram-Language Eingabe zeigenEingabe verbergen

In[7]:=

X elevationSmooth = GaussianFilter[elevation, 5]; p = FindPeaks[elevationSmooth][[All, 1]]; v = FindPeaks[-elevationSmooth][[All, 1]]; DateListPlot[{Thread[{times, elevationSmooth}], Thread[{times[[p]], elevationSmooth[[p]]}], Thread[{times[[v]], elevationSmooth[[v]]}]}, GridLines -> Automatic, Joined -> {True, False, False}, PlotStyle -> {Automatic, Red, Green}, ImageSize -> Medium, AspectRatio -> 1/3]

Out[7]=

Berechnen und visualisieren Sie die Bergauf- (rot) und Bergabteilstrecken (grün) der Radfahrt.

Die gesamte Wolfram-Language Eingabe zeigenEingabe verbergen

In[8]:=

X distance = Join[{0.}, Accumulate[ QuantityMagnitude[ UnitConvert[GeoDistance @@ # & /@ Partition[position, 2, 1], "Meters"]]]];

In[9]:=

X ascend = Thread[{distance[[#]], elevationSmooth[[#]]}] & /@ (Range @@ # & /@ Partition[Riffle[v, p], 2, 1][[1 ;; -1 ;; 2]]); descend = Thread[{distance[[#]], elevationSmooth[[#]]}] & /@ (Range @@ # & /@ Partition[Riffle[v, p], 2, 1][[2 ;; -1 ;; 2]]); Show[ListLinePlot[ascend, PlotStyle -> Red, Filling -> Axis], ListLinePlot[descend, PlotStyle -> Green, Filling -> Axis], GridLines -> Automatic, AxesLabel -> {"Distance (m)", "Elevation (m)"}, AspectRatio -> 1/5, ImageSize -> 500]

Out[9]=

Gesamtzeit der Bergauf- und Bergabteilstrecken.

In[10]:=

X ascendTime = Table[times[[p]][[i]] - times[[v]][[i]], {i, Length[p]}]; descendTime = Table[times[[v]][[i + 1]] - times[[p]][[i]], {i, Length[p] - 1}]; adTime = Quantity[{Total[ascendTime], Total[descendTime]}/60., "Minutes"]

Out[10]=

Gesamtdistanz der Bergauf- und Bergabteilstrecken.

In[11]:=

X ascendDistance = Table[distance[[p]][[i]] - distance[[v]][[i]], {i, Length[p]}]; descendDistance = Table[distance[[v]][[i + 1]] - distance[[p]][[i]], {i, Length[p] - 1}]; adDistance = Quantity[{Total[ascendDistance], Total[descendDistance]}, "Meters"]

Out[11]=

Durchschnittsgeschwindigkeit der Bergauf- und Bergabteilstrecken.

In[12]:=

X UnitConvert[adDistance/adTime, "Kilometers per hour"]

Out[12]=

Visualisieren Sie die Bergauf-(rot) und Bergababschnitte (grün) der Radfahrt auf einer Karte der Radroute.

Die gesamte Wolfram-Language Eingabe zeigenEingabe verbergen

In[13]:=

X ascend = position[[#]] & /@ (Range @@ # & /@ Partition[Riffle[v, p], 2, 1][[1 ;; -1 ;; 2]]); descend = position[[#]] & /@ (Range @@ # & /@ Partition[Riffle[v, p], 2, 1][[2 ;; -1 ;; 2]]); GeoGraphics[{{AbsolutePointSize[3], Green, Point /@ (GeoPosition /@ Flatten[descend, 1])}, {AbsolutePointSize[ 3], Red, Point /@ (GeoPosition /@ Flatten[ascend, 1])}}, ImageSize -> 500]

Out[13]=