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COMPARISON OF GEODATABASE TERRAIN PYRAMIDING
                  METHODS FOR AIRBORNE LASER SCANNING DATA
                                                                               Radek FIALA, Karel JEDLIČKA, Lucie POTŘEBOVÁ

                                            Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia,
                                                              Univerzitní 22, 306 14, Plzeň, Czech Republic                                                                                          www.gis.zcu.cz

                                                        fialar@kma.zcu.cz, smrcek@kma.zcu.cz, potreluc@students.zcu.cz



TEST DATA AND PROCESSING METHODOLOGY                                                                                                                                  forest
Ÿ km test area (includes open terrain, bulit-up and forested area)
1×1                                                                                                                                                                                   water

Unclassified airborne laser scanning (ALS) data (2,102,754 points) acqui-
Ÿ                                                                                                                                                             cultivated
                                                                                                                                                                 land           bushes
 red within the Project of new hypsometry generation of the Czech Republic                                                                                                                      Detail (70 × 50 m)
Building of terrain pyramids using z-tolerance and window size methods
Ÿ

Evaluating errors of individual pyramid level compared with primary ALS
Ÿ
                                                                                                                                                    Ortophoto of the test area (1 × 1 km)
 data using volume criterion


WINDOW SIZE                                                                               PYRAMID LEVELS                                                     Z-TOLERANCE
Window size pyramiding method divides
Ÿ                                                                                                                                                            Ÿ pyramiding method based on z-tole-
                                                                                                                                                             The
 the area of interest into regular planar                                                                                                                      rance controls the vertical accuracy of
 square windows (tiles) of specified ex-                                                                                                                       each pyramid level relative to the full-
                                                                                                    level 0




 tent. Then, just one point (or two points                                                                                                                     -resolution data. The z-tolerance para-
  in a case of min/max method) from                                                                                                                            meter expresses the maximum allowed
 each window are picked up as points to
                                                                                                                                                               vertical difference between removed
 higher pyramid level. The selection can
                                                                                                                                                               point and its footprint height in newly
 be based on point minimum height,
                                                                                                                                                               created terrain (if the difference is big-
 maximum height, mean height or mini-
                                                                                                                                                               ger than z-tolerance, the point has to
                                                         window size 2 × 2 m




 mum and maximum height.
                                                                                                                                         z-tolerance 0.5 m

                                                                                                                                                               remain in the generalized pyramid level).
Ÿ is no significant difference in value
There
                                                                                                    level 1




 of random errors comparing any of win-                                                                                                                      Increasing values of z-tolerance leads
                                                                                                                                                             Ÿ
 dow size methods (mean, min, max, min/                                                                                                                        to slowly decreasing number of points in
 max). Dependence of systematic error on                                                                                                                       a pyramid level. Probably, setting the
 selected window size method is obvious.                                                                                                                       parameter of z-tolerance high enough
Ÿ point count of a particular pyramid
The                                                                                                                                                            to generalize forested and built-up areas
 level created by any of Window size met-                                                                                                                      would lead to a significant reduction of
                                                         window size 4 × 4 m




 hods is very close to number of windows                                                                                                                       point count. In case of bare ground data
                                                                                                                                         z-tolerance 1.0 m




 (twice as much in case of min/max); the                                                                                                                       the results will be probably significantly
 thinning method (mid level was used)                                                                                                                          different.
                                                                                                    level 2




 seems not to be worthwhile.




                                              level 0                                                                                                                                                       level 0
                                              level 1                                                                                                                                                       level 1
                                                         window size 8 × 8 m




                                              level 2                                                                                                                                                       level 2
                                                                                                                                         z-tolerance 2.0 m




                                              level 3                                                                                                                                                       level 3
                                                                                                    level 3




 Detail of TINs formed from points in pyramid levels                                                                                                          Detail of TINs formed from points in pyramid levels
 1, 2 and 3 selected by window size method (mean)                                                                                                                 1, 2 and 3 selected by z-tolerance method



COMPARISON RESULTS
Ÿ count of pyramid levels created by the z-tolerance and window size
Point                                                                                                         Z-tolerance method provides significantly better results using comparable
                                                                                                              Ÿ
 methods are somewhat incomparable. When doubling the z-tolerance va-                                         point count than any of window size methods.
 lue, the point count decreases approximately by 30 % in resulting pyramid                                    Ÿ comparing values of systematic and random error, pyramid levels
                                                                                                              When
 layers. For example, z-tolerance of 32 m leads to pyramid layer containing                                   with comparable point count should be used. Because of this, comparison
 39,686 points. The window size methods reduce point count by 75 % in                                         of only the first levels can provide meaningful results. The z-tolerance
 every next level, which correspond to z-tolerance ratio of about 15 between                                  method provides significantly better results using comparable point count
 levels. From this point of view, the z-tolerance method is not very suitable                                 than any of window size methods. However, the low point count
 for unclassified data. Similar results can be expected for a DSM data. In                                    reduction of z-tolerance method for higher pyramid levels should
 case of bare ground data the results could be probably significantly different.                              be taken into account.

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Comparison of Geodatabase Terrain Pyramiding Methods for Airborne Laser Scanning Data

  • 1. COMPARISON OF GEODATABASE TERRAIN PYRAMIDING METHODS FOR AIRBORNE LASER SCANNING DATA Radek FIALA, Karel JEDLIČKA, Lucie POTŘEBOVÁ Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia, Univerzitní 22, 306 14, Plzeň, Czech Republic www.gis.zcu.cz fialar@kma.zcu.cz, smrcek@kma.zcu.cz, potreluc@students.zcu.cz TEST DATA AND PROCESSING METHODOLOGY forest Ÿ km test area (includes open terrain, bulit-up and forested area) 1×1 water Unclassified airborne laser scanning (ALS) data (2,102,754 points) acqui- Ÿ cultivated land bushes red within the Project of new hypsometry generation of the Czech Republic Detail (70 × 50 m) Building of terrain pyramids using z-tolerance and window size methods Ÿ Evaluating errors of individual pyramid level compared with primary ALS Ÿ Ortophoto of the test area (1 × 1 km) data using volume criterion WINDOW SIZE PYRAMID LEVELS Z-TOLERANCE Window size pyramiding method divides Ÿ Ÿ pyramiding method based on z-tole- The the area of interest into regular planar rance controls the vertical accuracy of square windows (tiles) of specified ex- each pyramid level relative to the full- level 0 tent. Then, just one point (or two points -resolution data. The z-tolerance para- in a case of min/max method) from meter expresses the maximum allowed each window are picked up as points to vertical difference between removed higher pyramid level. The selection can point and its footprint height in newly be based on point minimum height, created terrain (if the difference is big- maximum height, mean height or mini- ger than z-tolerance, the point has to window size 2 × 2 m mum and maximum height. z-tolerance 0.5 m remain in the generalized pyramid level). Ÿ is no significant difference in value There level 1 of random errors comparing any of win- Increasing values of z-tolerance leads Ÿ dow size methods (mean, min, max, min/ to slowly decreasing number of points in max). Dependence of systematic error on a pyramid level. Probably, setting the selected window size method is obvious. parameter of z-tolerance high enough Ÿ point count of a particular pyramid The to generalize forested and built-up areas level created by any of Window size met- would lead to a significant reduction of window size 4 × 4 m hods is very close to number of windows point count. In case of bare ground data z-tolerance 1.0 m (twice as much in case of min/max); the the results will be probably significantly thinning method (mid level was used) different. level 2 seems not to be worthwhile. level 0 level 0 level 1 level 1 window size 8 × 8 m level 2 level 2 z-tolerance 2.0 m level 3 level 3 level 3 Detail of TINs formed from points in pyramid levels Detail of TINs formed from points in pyramid levels 1, 2 and 3 selected by window size method (mean) 1, 2 and 3 selected by z-tolerance method COMPARISON RESULTS Ÿ count of pyramid levels created by the z-tolerance and window size Point Z-tolerance method provides significantly better results using comparable Ÿ methods are somewhat incomparable. When doubling the z-tolerance va- point count than any of window size methods. lue, the point count decreases approximately by 30 % in resulting pyramid Ÿ comparing values of systematic and random error, pyramid levels When layers. For example, z-tolerance of 32 m leads to pyramid layer containing with comparable point count should be used. Because of this, comparison 39,686 points. The window size methods reduce point count by 75 % in of only the first levels can provide meaningful results. The z-tolerance every next level, which correspond to z-tolerance ratio of about 15 between method provides significantly better results using comparable point count levels. From this point of view, the z-tolerance method is not very suitable than any of window size methods. However, the low point count for unclassified data. Similar results can be expected for a DSM data. In reduction of z-tolerance method for higher pyramid levels should case of bare ground data the results could be probably significantly different. be taken into account.