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Types of Curves/Surface (2)
Implicit
Curve defined in terms of cartesian coordinates:
f( x, y) = 0
f( x, y, z) = 0
Ax + By + C = 0
Ax + By + Cz + D = 0
(x - x
0
)
2
+ (y - y
0
)
2
- r
2
= 0
(x - x
0
)
2
+ (y - y
0
)
2
+ (z - z
0
)
2
- r
2
= 0
Useful in maths, not so useful in computer, except to define inside and outside :
f( x, y, z) < 0 <=> inside
f( x, y, z) > 0 <=> outside
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ANU lectures
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Computer Graphics
:
Spline
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Prev. : 5 / 42 : Types of Curves (1)
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