Use can use shapely for that. https://pypi.python.org/pypi/Shapely . In fact, you can create polygons and other geospatial features with it. Potentially, you do not need any df. Here is a complete example using your polygon and random points. You do not need all of these modules, but I show you that you can solve your problem in many ways:
import json
import geojson
from shapely.geometry import mapping, shape, Polygon, MultiPoint
import shapely.wkt as wkt
import folium
top_left = [-73.973205, 40.806470]
bottom_left = [-74.035690, 40.709729]
bottom_right = [-73.992431, 40.696715]
top_right = [-73.934066, 40.781518]
coordinates =[(-74, 40.74),(-74, 40.76),(-74, 40.78),(-74, 40.81)]
coordinates_shapely = MultiPoint(coordinates)
# 1. create a polygon:
polyNY_shapely = Polygon([(top_left), (bottom_left), (bottom_right), (top_right)])
# OR
polyNY_json = {
"coordinates": [[top_left, bottom_left, bottom_right, top_right, top_left]],
"type": "Polygon"
}
# 2. create the geojson of the polygon
g1 = wkt.loads(polyNY_shapely.wkt)
g2a = geojson.Feature(geometry=g1)
# OR
g2b = json.dumps(mapping(shape(polyNY_json)))
# 3. create map with polygon and all coordinates
map_osm = folium.Map(location=[40.7, -74.0],zoom_start=12)
folium.GeoJson(
g2a,
style_function=lambda feature: {
'fillColor': '#ffff00',
'color' : 'blue',
'weight' : 2
}).add_to(map_osm)
for cc in coordinates:
folium.Marker(cc[::-1], popup='point '+str(cc)).add_to(map_osm)
map_osm.save('shapelyfolium.html')
# add points to map after filtering
for pp in range(len(list(coordinates_shapely))):
print polyNY_shapely.contains(coordinates_shapely[pp])
if polyNY_shapely.contains(coordinates_shapely[pp]):
folium.Marker(coordinates[pp][::-1], popup='point '+str(pp),icon = folium.Icon(color='red')).add_to(map_osm)
# OR
# if pp.within(polyNY_shapely):
# folium.Marker(row, popup='point '+str(index),icon = folium.Icon(color='red')).add_to(map_osm)
map_osm.save('shapelyfoliumAfterfiltering.html')