Fig.8 Classification Result of the Flat Part 
The omitted parts were confirmed to be uneven parts 
(e.g., the upper part of the roof), therefore, the 
second flatness and additional classification of the 
uneven parts were performed. In this paper, the 
second threshold was set at S.D. - 0.030 m 
(inclusive of the road side barrier), and figure 9 
shows the result of the classification using the 
second threshold. 
With this work, classification of what constitutes a 
cultural heritage is complete, and figure 10 present 
the all result of classification as flat area. 
  
Fig.9 The Result of Classification for the Second 
Threshold 
  
Fig.10 The Result of Classification as Flat Area 
(Color: Intensity DATA) 
3.5 Extraction of the Curved Point 
After the classification of the flat and non-flat areas, 
the shape of each area is obtained by tracing the 
circumference. 
When all points on the circumference are used, a 
large number of data values (number of points for 
modeling) are obtained. Therefore, the points that 
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B5. Istanbul 2004 
would be used to design the model must satisfy the 
following conditions. They were extracted from the 
point crowd data to constitute the area. 
The conditions for point extraction: 
a. Curved point of the circumference 
b. Point on the Circumference (randomly extracted) 
c. Point inside of the area (randomly extracted) 
b. and c. are extracted by smooth shape 
correspondence, and the method used for the 
"curved point of the circumference" is presented 
later. 
Q Interest Point 
: Reference Point 
ab. Vector 
la[b|: Magnitude 
t :Angle 
  
Fig.11 Conception of Inner Product 
e lalP|cos: (2) 
where, 
&, =Vector, al. P -Magnitude(Distance of 
reference point and Interest point), 
Í = Angle 
85 = (Xi - Xa)(Xb— Xi) + (Yi- YayYb— Yi 
t (Zi - Za Zb — Zi) 
(Xi, Yi Zi) =Position data of interest point, 
(Xa, Ya, Za) =Position data of reference point, 
Point Crowd : 
/Break-line 
  
ce es 
0000000000 
600000000926 r—À 
9000900006090 E 
900000000009 
  
82000000000 j 
000000500 , 
60900660 
63.0608 
Measurement Extract 
| Break-line 
La 
ei 
,'^ngle:! 80° 
"120 
4 € 
      
\ O Interest Point 
\ / @ Reference Point 
rra sated 
(a) Angle Calculated for One Side