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known to cause anisotropic reflection. In this study, therefore, we combined the
Ashikhmin[1] and Beckman models to form a gold foil reflection model that
reproduces images of gilded complex surfaces. The Ashikhmin model can be obtained
from the sum of specular reflection
(
)
and diffuse reflection
, which
(
)
ρ
k
1
,
k
ρ
k
1
,
k
s
2
d
2
can be obtained from formulas (2) and (3), respectively:
2
2
(
n
1
)(
n
1
(
n
h
)
(
n
(
hu
)
n
(
hv
)
)
u
v
U
k
,
k
u
v
F
((
k
h
))
(2)
s
1
2
8
S
(
h
k
)
max((
n
k
),
(
n
k
))
1
2
5
5
§
·
§
·
28
R
(
n
k
)
(
n
k
)
§
·
§
·
¨
©
¸
¹
¨
©
¸
¹
U
k
,
k
d
(
R
)
1
1
1
1
1
2
©
¹
©
¹
(3)
d
1
2
s
23
S
2
2
where
u
,
v
= orthogonal vectors to the normal direction
R
= denoting the intensity of diffuse reflection
R
= denoting the intensity of specular reflection
F
((
k
⋅
h
))
= Fresnel coefficient
Surface coarseness can be expressed by applying Formula (1) to the highlighted
part of Formula (2).
Since the minute surfaces of
shouhekiga
and
ranma
are uneven, the mutual
interference of microfacets must also be taken into consideration. This can be
expressed by the following formulas:
(
n
,
h
)(
n
,
k
)
G
out
n
,
k
,
h
2
2
(4)
2
(
k
,
h
)
2
(
n
,
h
)(
n
,
k
)
G
in
n
,
k
,
h
,
k
2
1
(5)
2
1
(
k
,
h
)
2
(6)
G
n
,
k
,
h
,
k
min(
G
in
G
,
,
2
1
out
Ranma
portion representations realized using the gold foil reflection model are also
shown further below. Here, only a texture reproduced using the gold foil reflection
model is applied. In the future, we intend to reproduce more realistic
ranma
surface
images using the gold foil reflection and pigment reflection models.
3 3D Spatial Representation of Nishi Hongwanji
We produced a three-dimensional representation of Nishi Hongwanji's Tora-no-ma
using a three-dimensional geometric model based on temple structure data. Model-
Based Rendering (MBR), collective term for methods for synthesizing and expressing
input data on structures, involves creating a three-dimensional geometric model in a
