Hfrhyu

I have a line of points in .shp file and the distance of the points varies. There can be 20 points in same place and then the distance can be something between 1 to 25 meters.

How can I pick points from the line every approx. 10m or 20 or 25 meters, so that
instead of cluster of 10000 points in one line I would have a nice line with 1000 points every 20 meters?

You could try code below. The Points have to be created in correct order to be able to convert into a line, or have a sort field which you can use. I only have one line, you have to modify the code if you have multiple lines:

import arcpy

arcpy.env.overwriteOutput = True
arcpy.env.workspace = r'C:Default.gdb' #Change
pointfc = 'roadpoints' #Change
mindist = 200 #Change
outpointfc = 'roadpoint_reduced' #Change

points = [i for i in arcpy.da.SearchCursor(pointfc,['OID@','SHAPE@'])] #List all point oids and geometries

#Convert points to line. If they are not in correct order, and more than one, use Line_Field and Sort_Field
arcpy.PointsToLine_management(Input_Features=pointfc, Output_Feature_Class=r'in_memorypointstoline')#, Line_Field=, Sort_Field=)
line = [i[0] for i in arcpy.da.SearchCursor(r'in_memorypointstoline','SHAPE@')][0]

#Measure distances between points along the line
points_with_dist_along_line = [[p[0],line.measureOnLine(p[1])] for p in points if not p[1].disjoint(line)]

#Iterate over three points at a time and remove middle one if distance between first and last is <mindist*2
#Do this until oid of last point is reached

points_to_keep = points_with_dist_along_line
count=0
oid = -1
while oid != points_with_dist_along_line[-1][0]:
 group = points_to_keep[count:count+3]
 oid = group[-1][0]
 if len(group)==3:
 if group[2][1]-group[0][1]<mindist*2:
 points_to_keep.pop(count+1)
 else:
 count+=1

#Create a new fc with the results
oids_to_keep = tuple([i[0] for i in points_to_keep])
sql = "0 IN1".format(arcpy.Describe(pointfc).OIDFieldName, oids_to_keep)
arcpy.Select_analysis(in_features=pointfc, out_feature_class=outpointfc, 
 where_clause=sql)