Meteorite Detection System for Widefield Ccd

8/10/2019 Meteorite Detection System for Widefield Ccd

1/89


2/89


3/89


4/89


5/89


6/89
mailto:[email protected]:[email protected]


7/89


8/89


9/89

= [0, x] [0, y]

R

n

f : R

2

Rn

,


10/89

n N x R y R

x

y

n= 1

= [0, x] [0, y]

Z

n

P : N2 Zn,

n N

x N

y N

x

y

n= 1

f

g

Rn

f

g

[0, t]

(f g)(t) = 0

tf()g(t ) d,

f g

f g

f

g

(f g)(t) =

f()g(t ) d=

g()f(t ) d


11/89


12/89

,2(x, y) = 1

22 exp

x2 +y2

22 or ,2(x, y) =

1

2exp

x

2 +y2

22

,

x, y R

g(i, j) =f1(i, j) +f2(i, j)

g(i, j) =f1(i, j) f2(i, j) g(i, j) = |f1(i, j) f2(i, j)|

g(i, j) =f1(i, j) f2(i, j)

g(i, j) =f1(i, j) f2(i, j)

g(i, j) =P f1(i, j) + (1 P) f2(i, j),


13/89

g(i, j)

(i, j)

f1(i, j) f2(i, j)

(i, j)

P

f(x, y)

g(x, y)

: f(x, y) g(x, y) =(f(x, y))

g(x, y) = a f(x, y) +b

b = 0


14/89

g(x, y) =(f(x, y)) := 1 for f(x, y) T

0 else

,

T

g(x, y) = 1

g(x, y) = 0

g= (f)


15/89

WH

Arr

L

CHr

CH[0] =Arr[0]

CH[i] =C H[i 1] +Arr[i] i= 1, 2, . . . , L 1

T ab[i] =round(L 1W H

CH[i])

gout = T ab[ginp]

0 255brightness level

pixelcount

0 255brightness level

pixelcount


16/89

3 3

h=1

9

1 1 1

1 1 1

1 1 1

3 3 5 5

G(x, y)

G(x, y) = 1

22 exp

x

2 +y2

22

or G(x, y) =

1

2exp

x

2 +y2

22

,

3 3

5 5


17/89

h= 110

1 1 1

1 2 1

1 1 1

h= 116

1 2 1

2 4 2

1 2 1

h= 1159

2 4 5 4 2

4 9 12 9 4

5 12 15 12 5

4 9 12 9 4

2 4 5 4 2

f(x, y)

f=

gradx

grady

=

fxf

y

mag(f) =

grad2x+grad2y =

f

x

2+

f

y

2

= arg(f

x,f

y),

arg(x, y)

x

(x, y)

mag(f) | gradx| + | grady|

fx

=f(x+ 1, y) f(x, y) and fy

=f(x, y+ 1) f(x, y)


18/89

h1 =

1 0

0 1

h2 =

0 1

1 0

h1 =

1 1 1

0 0 0

1 1 1

h2=

0 1 1

1 0 11 1 0

h1 =

1 2 1

0 0 0

1 2 1

h2=

0 1 2

1 0 12 1 0

h3 =

1 0 12 0 21 0 1

h1 h3

x2 +y2

| x| +| y|

x

h1 y

h2 tan1( y

x)

h1 h3


19/89

x

f(x)

x

f(x)

x

f(x)

f(x)

f(x)

2f= 2f

2x2+

2f

2y2

2

f2x2 =f(x1, y)2f(x, y)+f(x+1, y) and 2

f2y2 =f(x, y1)2f(x, y)+f(x, y+1)

h=

0 1 0

1 4 10 1 0

h=

1 1 1

1 8 11 1 1


20/89


21/89

G

n= n.G= Gn,

G

Gn n

n= (G f)| (G f) |

f

Gn n

nGn f= 0

Gn

2

2nG f= 0

G

| Gn f|=| (G f) |


22/89


23/89

n

3 3

A

B

Z2

A

B

AB

AB = {z| (B)z A}

A

B

AB

A B=

z| (B)z A =

B B


24/89

B= {w | w= b, for b B}

(A B)c =Ac B,

Ac

A

Ac = {w | w / A}

A B A B

A B= (AB)B

A

B

B

A

B

A B

A

B= (A

B)

B


25/89

A

B

B

(A B)c =Ac B

B = (B1, B2)

p

B1

A

B2 A

c

A

B

A B= {p: B1 A and B2 Ac}

A B= (A B1) (Ac B2) = (A B1) \ (A B2)

A

R

2

A

S(A)


26/89

A

B = (B1, B2) A B

AB=A \ (A B)

A

{B} = B1, B2, B3, . . . , Bn ,

Bi

Bi1

A {B} = ((. . . ((A B1) B2) . . . ) Bn)

A B1

B2

A

Bn

3 3

L

L1= 0 0 0

1 1 1 1

L2 = 0 01 1 0

1 L3 =

1 01 1 0

1 0 . . . ,


27/89


28/89


29/89


30/89


31/89


32/89

(x1, y1)

y1 =mx1 +b m

b

y1=mx1+ b

(b, m)

(x1, y1)

m

b

b= mx1+ y1

mb

(x1, y1)

(x2, y2)

(m, b)

m

b

w

(x1, y1)

(x2, y2) xy

w

(m, b)

m

b

m


33/89

y

x

(x1, y1) (x2, y2)b

a

b

b

b = x1a+ y1

b = x2a+ y2

y = (

cos

sin

)x+ (

sin

)

= x cos +y sin

(, )

[0, )

R

[0, 2)

0

(x, y)

() =x cos +y sin

N

xy

i = x cos j +y sin j N

(i, j)

1

1

y

x

1

1


34/89

(i, i)

m

b

(i, j)

Acc(i, j)

(xk, yk) xy m

b

b =mxk+ yk (ms, bt)

Acc(s, t)

Acc(u, v)

xy

yu =mxv+b

N xN

N

N

N


35/89

f(x, a) = 0

a

a

a

n

Acc(a)

(x, y)

Acc(a)

Acc

f(x, a) = 0

a

Acc(a)

f(x, a)

(x a)2 + (y b)2 =r2,

(a, b)

r

x

(a, b)

Acc(a,b,r)

(a, b)

r

x

(a,b,r)


36/89


37/89


38/89

4100 4100


39/89

n

n= 2


40/89


41/89


42/89


43/89


44/89

4090 4090

4098 4098


45/89


46/89


47/89


48/89


49/89

75%

85%


50/89

3%

2.55

10

12


51/89


52/89


53/89


54/89


55/89


56/89


57/89


58/89


59/89


60/89
http://www.lyx.org/http://www.latex-project.org/http://localhost/var/www/apps/conversion/tmp/scratch_10/[email protected]


61/89


62/89


63/89


64/89

2

2

75

30

10

20


65/89

65535

false

0.4

0.3

1

3

1

3

10

5

15

100

10


66/89

0.6

20000

0.45

40

4.5

200

15000

0.2

0.6

200


67/89


68/89


69/89


70/89


71/89
http://www.lyx.org/http://www.latex-project.org/http://localhost/var/www/apps/conversion/tmp/scratch_10/[email protected]


72/89


73/89


74/89


75/89


76/89


77/89


78/89


79/89


80/89


81/89


82/89


83/89


84/89


85/89


86/89


87/89


88/89


89/89

Meteorite Detection System for Widefield Ccd

Documents

Transcript of Meteorite Detection System for Widefield Ccd