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## Main Question or Discussion Point

Hi everybody !!

I have a question about discrete integrals with contours. I want to integrate

the points that makes the contour of an image. When the contour is only one

curve it is easy I get the function in every point of the contour and I multiply

by the distance between two consecutive points.

But my problems y when this curve changes of topology so the contour

can be several contours inside, outside the other curve. So I wonder if I can use the

same method.

Example 1: I calculate the corresponding functions

of the elements in the position of the contour multiplyed

by the width between two consecutive points.

000000000000

000011111100

000100000100

000010111100

000001000000

My problem Example 2: It is when my contour is not a curve

with starting and ending if not particionates and becomes

more curves. Someone knows how to calculate the discrete

integral over the points 1, and 2??.

0000000000000

0000111111000

0000102220000

0000102222220

0000100001120

0000111111120

The problem can be arbitrary I just show a case to explain my

problem

Thank you very much

Sincerely

Esmeralda Ruiz

I have a question about discrete integrals with contours. I want to integrate

the points that makes the contour of an image. When the contour is only one

curve it is easy I get the function in every point of the contour and I multiply

by the distance between two consecutive points.

But my problems y when this curve changes of topology so the contour

can be several contours inside, outside the other curve. So I wonder if I can use the

same method.

Example 1: I calculate the corresponding functions

of the elements in the position of the contour multiplyed

by the width between two consecutive points.

000000000000

000011111100

000100000100

000010111100

000001000000

My problem Example 2: It is when my contour is not a curve

with starting and ending if not particionates and becomes

more curves. Someone knows how to calculate the discrete

integral over the points 1, and 2??.

0000000000000

0000111111000

0000102220000

0000102222220

0000100001120

0000111111120

The problem can be arbitrary I just show a case to explain my

problem

Thank you very much

Sincerely

Esmeralda Ruiz