After the correspondence relationship of the virtual
reality technology is obtained, there are two cases in
accordance with the number of the three-dimensional
space division as the following:
1) The three-dimensional space divided in the
interior design is greater than or equal to the threedimensional space in the original interior design.
In accordance with the correspondence relationship
of the virtual reality technology, the interior layout is
carried out on the pixels on the interior layout space in
accordance with the interior layout function in the threedimensional space.
It is assumed that the i-th three-dimensional space in
the original interior design image is corresponding to the
j-th data mining in the target interior design, then the
calculation formula for the value of each channel
'''
, , ZZZ l D E in the three-dimensional space after the
interior design is as the following
'
'
'
/
/
/
i ji j
Z Z sl tl sl tl
i ji j
Z Zst s t
i ji j
Z Zst s t
l l
DD D D
EE E E
PV V P
D D PV V P
E E PV V P
°
°
®
°
° ¯
(3)
In which, , , zzz l D E stand for the values of each
channel in the interior layout space of the original interior
design image, , ,
jj j PP P tl t t D E stand for the mean value of
each channel of the j-th three-dimensional space in the
target interior design, , ,
jj j VV V tl t t D E stand for the variance
of each channel of the j-th three-dimensional space in the
target interior design, , , ii i PP P sl s s D E stand for the mean
value of each channel of the j-th domain in the original
interior design, and , , ii i VV V sl s s D E stand for the variance of each channel of the i-th third dimension in the original
interior design.
2) The three-dimensional space divided in the
interior design is smaller than the three-dimensional space
in the original interior design.
In order to prevent the layout of the threedimensional space corresponding to the virtual reality
technology from presenting a kind of sudden impression,
it is necessary to make adjustment on the layout of these
three-dimensional spaces as well. In accordance with the
theoretical calculation, the corresponding relationship of
the interior design is shown in Figure 1. The interior
layout is carried out in accordance with the equation (3).
The results are shown in Figure 1c. Hence, it can be seen
that if the layout of the interior design has relatively
significant change, the three-dimensional space after the
interior design will present a relatively sudden impression
with respect to the adjacent three-dimensional space. To
maintain the degree of the layout contrast with the
adjacent three-dimensional space, after the layout of the
adjacent three-dimensional spatial is changed, the overlap
rate of the boundary between the target three-dimensional
space and the adjacent three-dimensional space is taken as
the main influencing factor. Through the calculation of the
influencing coefficient of each adjacent three-dimensional
space, the purpose of the adjustment on the layout of the
three-dimensional space without any corresponding
virtual reality technology can be achieved. In accordance
with the following
' '
z
i i H Hz iH H ¦JP P ˄4˅
In this way, the layout of the three-dimensional space
after the adjustment can also maintain approximately the
same difference value from the layout of the adjacent
three-dimensional space.
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Among them, H'z and Hz stand
for the satisfaction values after the adjustment and before
the adjustment, i i ' P P H H ˈ stand for the average
satisfaction value of the adjacent three-dimensional space
after the interior design and before the design, and i J
stands for the boundary overlap rate of the adjacent threedimensional space. If the j-th three-dimensional space is
adjacent to the i-th three-dimensional space, the boundary
overlap ratio of the i-th three-dimensional space with
respect to the j-th three-dimensional space is defined as
the following
/ ij ij in
n
l l \
J
¦ ˄5˅ In which, l ij stands for the length of the overlap
boundary of the i-th three-dimensional space with the j-th
three-dimensional space.
When the number of the three-dimensional space
without any corresponding virtual reality technology or
the area of these three-dimensional spaces is relatively
small, adjustment can be made on the layout of such threedimensional spaces. The result of the interior design in
accordance with the virtual reality technology relationship
as presented in Figure 1b is shown in Figure 1d, in which,
the three-dimensional space book does not have the
corresponding input three-dimensional space, and it is
necessary to carry out the computer aided design
operation. Among them, the average satisfaction value
and the boundary overlap ratio of the interior design is
shown in Table 1. In accordance with the equation (4), it
is necessary to move the satisfaction value of each pixel
in the interior three-dimensional space on the chromatic circle counterclockwise by +108.7 (The threedimensional spatial data are shown in Table 1). In the end,
the average satisfaction value of the three-dimensional
space is changed from 91 to 23 (The satisfaction channel
value is expressed in the form of a circle), as shown in
Figure 1d. It can be observed that after the computer aided
design of the interior design for the three-dimensional
space, the layout difference value with the adjacent threedimensional space can be kept as much as possible.
Therefore, the integrity of the interior layout can be
improved.
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