ig. 23 
ig. 27 
g.31 
  
g. 35 
  
2. 39 
  
  
  
REFERENCES 
G. L. Bibro and W. E. Snyder, 1988. Fusion of range and 
reflectance image data using Markov random fields. In: Proc. 
IEEE International Symposium on Intelligent Control, 
Arlington, VA, pp. 154-158. 
K. Brassel, 1974, A model for automated hill shading. The 
American Cartographer, 1(1), pp 15-27. 
M. J. Brooks and B. K. P. Horn, 1985. Shape and source from 
shading. In: Proc. International Joint Conference on Artificial 
Intelligence, pp. 932-936. 
B. K. P. Horn, 1982. Hill shading and the reflectance map. 
Geo-Processing, 2, pp 65-146,. 
K. Ikeuchi and K. P. Horn, 1981. Numerical shape from 
shading and Occluding boundaries. Artificial Intelligence, 
17(1-3), pp. 141-184. 
K. Ikeuchi and K. Sato, 1991. Determining reflectance 
properties of an object using range and brightness images. 
IEEE Trans. on Pattern Analysis and Machine Intelligence, 
13(11), pp. 1139-1153. 
G. Kay and T. caelli, 1994. Inverting an illumination model 
from range and intensity map. CVGIP, 59(2), pp. 183-201. 
Fig. 4 A DTM of the Mars area CALYDON FOSSA; Fig. 5 A Mozart height image; Fig. 6--8 
Simulating c,, c, and c,-maps; Fig. 9 Down-sampled image of Fig. 4; Fig. 10 Shaded image 
of Fig. 9; Fig. 11 The middle part of the original image of Fig. 10; Fig. 12 The synthetic 
brightness image by using the Lambertian model and c,-map, the direction of light source is 
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B3. Vienna 1996 
0° azimuth and 45° slant; Fig. 13 The estimated c,-map; Fig. 14 The improved DTM of 
Fig. 4; Fig. 15 The re-shaded image using the c,-map in Fig. 13 and the same light source in 
Fig. 12; Fig. 16 The middle part of the original image of Fig. 15; Fig. 17 Same as in Fig. 15, 
but change the azimuth to be 135°; Fig. 18 Same as in Fig. 12 but using the Torrance-Sparrow 
model; Fig. 19--21 The estimated c,, c, and c,-maps; Fig. 22--25 Same as in Fig. 14--17 
but with the Torrance-Sparrow model; Fig. 26--40 Same as in Fig. 9--25 but with Mozart 
image and without the re-shaded image by changing the azimuth. 
R. Kimmel and A. M. Bruckstein, 1995. Global shape from 
shading. Computer Vision and Image Understanding, 62(3), 
pp. 360-369. 
C. H. Lee and A. Rosenfeld, 1985. Improved methods of 
estimating shape from shading using the light source 
coordinate system. Artificial Intelligence, 26, pp. 125-143. 
A. P. Pentland, 1982. Finding the illuminant direction. J. Opt. 
Soc. Amer. A, 72(4), pp. 448-455. 
A. P. Pentland, 1984. Local shading analysis. IEEE Trans. on 
Pattern Analysis and Machine Intelligence, 6(2), pp. 170-187. 
B. T. Phong, 1975. Illumination for computer generated 
pictures. Comm. of ACM, 18, pp. 311-317. 
K. E. Torrance and E. M. Sparrow, 1967. Theory for off- 
specular reflection from roughened surface. J. Optical Society 
of America, 57 pp. 1105-1114. 
Q. Zheng and R. Chellappa, 1991. Estimation of illuminant 
direction, albedo, and shape from shading. IEEE Trans. on 
PAMI, 13(7) pp. 680-702. 
X. Zhou and E. Dorrer, 1995. An adaptive algorithm of 
shaded-relief images from DEMs based on wavelet transform. 
In: Proc. Digital Photogrammetry and Remote Sensing “95, St. 
Petersburg, Russia, SPIE series Vol. 2646, pp. 21 1-224.