????? ?????? ????? ???? Computer Aided Design

1
????? ?????? ????? ????Computer Aided
Design ???? ???"?
2
???? ???? ?????? ???? ????????
alhanaty_at_bezeqint.net ???? ????? ??? ?
1400-1700 ??? ???? ??? ? 1230-1330
3
????? ?????

• ???? ????"?
• ????? ??????
• ???????? ???????????
• ??? ????????
• ????? ????? (Bezier) ????? ?????????
• ????? ?????? (Spline) ????? ?????????
• ????? ?????? ???????? (Nurbs)
• ?????
• ?????? ????????????

4
????? ????? (????)

• ??????
• ???? ?????? ????????
• ????? ?????
• ???? ?????? ????????

5
?????

• Curves and Surfaces for CAGD/Gerald Farin, Fifth
  edition, Morgan Kaufmann Publishers 2002.
• The NURBS Book/Les Piegl and Wayne Tiller, Second
  edition, Springer Verlag, 1997.
• Computer Aided Geometric Design/Josef Hoschek and
  Dieter Lasser, A. K. Peters Ltd, 1993.

6
?????? ??????? ??????

• ?????? ????? ????? 5 ??????? (???? ??????),
  ??????? ?? ??? ????? ?? ???????.
• ????? ????? ????? ???? ????? ?????.
• ???? ???????? 50 ?????? ?????, ???? ??????
  ????? 50 ?????? ?????.
• ??? ????? ?? ????? ?? ???? ???? 55 ????? ??????
  ?????, ????? 65 ????? ?????? ???????? ???????
  (??? ?????? ?????).

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?????? ??????? ?????? (????)

• ?? ????? ???? ????? ????? ???? ???? ????/???????
  ????? ????? ????? ?????.
• ????? ?? ????? ?? ????? ??? ???? ???? ???? ?????
  ??????.
• ???? ???????, ????? ????? ?????? ????????, ?????
  ?????? ???? ?????, ???? ??????? ????? ?????
  ????????.

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?????
????? Matlab ?????
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?????? ????? ????
?????? ???????, ??????, ?????, ??? ?????
?????, ????????, ??????, ?????? ????????
???????, ?????? ??????? ????? ????? ?????
???????? ??????
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????, ??????? ?????? (?? ???????)
?????? ??????? ????????? ????? ?????? ????
????????
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????? ????? ????? ???? (??????)
(??????? ?? PTC )
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????? ????? ????? ???? (??????)
(??????? ?? PTC )
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??????
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????? ????? ????? ???? (?????)
(??????? ?? PTC )
??????
???????
??????????
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??? ????? ?????
????? ?? ????? ???-??????? ????? ????? ????
????? ???? ???? ????? ????? ?????? ?? ?????
??????? ???? ???? ???? ?????? ????? ??
???? ???? ?? ??????? ???????
????? ?????? ????????? ?? ???? (?????, ?????
????? ???) ????? B-Rep, CSG, Octrees
????? ????? ?????? ????????? ?? ?????
??????? ????? ????? ????? ????? ?????? ?????
(CNC)
15
????? ??? ????? ????? ???? - 1
(???? I-DEAS tutorials)
16
(???? I-DEAS tutorials)
3. ????? ????-???? (extrude)
1. ???? ??-?????
2. ????? ??? ?? ????
4. ????? (?????) ?????
5. ????? (fillet) ??????
6. ????? (fillet) ??????
17
????? ??? ????? ????? ???? - 2
(???? I-DEAS tutorials)
????? ???? ??????
18
(???? I-DEAS tutorials)
1. ???? ?? ???? ?????
2. ????? extrude ?? ????
3. ????? (extrude) ???? ?????? ?? ???
4. ????? (revolve) ????
5. ????? (revolve) ??? ????
19
????? ??? ????? ????? ???? 3 freeform surface

• http//en.wikipedia.org/wiki/Freeform_surface_mode
  lling

20
????? ??? ????? ????? ???? - 4??????? ???????
(???? Piegl and Tiller)
????? ???? ????? ?????? ????? (surface fitting)
????? ???? ????? ?????? (skinned surface)
21
????? ????? ?????? ???????
(???? Farin)
????? ???? ???? ??????/????
?????? ???????
22
????? ?????

• ???? ???????? ??????? ??????? ????? ?? ??????
  ????. ???? ??????, ????? ???????????, ???? ????
  ????????.
• ????? ????? ????? ?? ???? ????? ???????? ??.

23
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????? ??????? ?????? ?????
????????
24
??????? ???? ????? ????"?
25
????? ????? ???????? ?? ???? ?????????? ????
????? ?????
Top arc
Top fillet
Evolvent
Straight line
Bottom fillet
Bottom arc
26
????? ???? ?? ??? ???????? ??????? ????? ?????
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????? ??????????? ?????, ????? ?????, ????? ?????
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??? 2500 ?????? (50 ????? ?????)
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???? ?????? 13X12 ?????? ????
????? ???????? 0.536 ?"? (??????? ?????? ??????)