If point are expressed in homogeneous coordinates then the pair of (x, y) isrepresented as a.(x’, y’, z’) b.(x, y, z) c.(x’, y’, w’) d.(x’, y’, w)

If point are expressed in homogeneous coordinates then the pair of (x, y) isrepresented as a.(x’, y’, z’) b.(x, y, z) c.(x’, y’, w’) d.(x’, y’, w)
by

1 Answer

Answer :

d.(x’, y’, w)
by

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The original coordinates of the point in polar coordinates are a.X’=r cos (Ф +ϴ) and Y’=r cos (Ф +ϴ) b.X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ) c.X’=r cos (Ф -ϴ) and Y’=r cos (Ф -ϴ) d.X’=r cos (Ф +ϴ) and Y’=r sin (Ф -ϴ)

Description : The original coordinates of the point in polar coordinates are a.X’=r cos (Ф +ϴ) and Y’=r cos (Ф +ϴ) b.X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ) c.X’=r cos (Ф -ϴ) and Y’=r cos (Ф -ϴ) d.X’=r cos (Ф +ϴ) and Y’=r sin (Ф -ϴ)

Last Answer : b.X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ)

In 2D-translation, a point (x, y) can move to the new position (x’, y’) by usingthe equation a.x’=x+dx and y’=y+dx b.x’=x+dx and y’=y+dy c.X’=x+dy and Y’=y+dx d.X’=x-dx and y’=y-dy

Description : In 2D-translation, a point (x, y) can move to the new position (x’, y’) by usingthe equation a.x’=x+dx and y’=y+dx b.x’=x+dx and y’=y+dy c.X’=x+dy and Y’=y+dx d.X’=x-dx and y’=y-dy

Last Answer : b.x’=x+dx and y’=y+dy

The polygons are scaled by applying the following transformation. a.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy) b.X’=x * Sx + Xf(1+Sx) & Y’=y * Sy + Yf(1+Sy c.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy – Yf(1-Sy) d.X’=x * Sx * Xf(1-Sx) & Y’=y * Sy * Yf(1-Sy)

Description : The polygons are scaled by applying the following transformation. a.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy) b.X’=x * Sx + Xf(1+Sx) & Y’=y * Sy + Yf(1+Sy c.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy – Yf(1-Sy) d.X’=x * Sx * Xf(1-Sx) & Y’=y * Sy * Yf(1-Sy)

Last Answer : a.X’=x * Sx + Xf(1-Sx) & Y’=y * Sy + Yf(1-Sy)

In Coordinates, a points in n-dimensional space is represent by(n+1) coordinates. a.Scaling b.Homogeneous c.Inverse transformation d.3D Transformation

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In homogeneous coordinates value of ‘h’ is consider as 1 & it is called….. a.Magnitude Vector b.Unit Vector c.Non-Zero Vector d.Non-Zero Scalar Factor

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What is the use of homogeneous coordinates and matrix representation? a.To treat all 3 transformations in a consistent way b.To scale c.To rotate d.To shear the object

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Last Answer : a.To treat all 3 transformations in a consistent way

The matrix representation for scaling in homogeneous coordinates is a.P’=S*P b.P’=R*P c.P’=dx+dy d.P’=S*S

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The matrix representation for translation in homogeneous coordinates is a.User Coordinate System b.World Coordinate System c.Screen Coordinate System d.None of the above

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The general homogeneous coordinate representation can also be written as a.(h.x, h.y, h.z) b.(h.x, h.y, h) c.(x, y, h.z) d.(x,y,z)

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In a CAD package, mirror image of a 2D point P (5, 10) is to be obtained about a line whichpasses through the origin and makes an angle of 45° counterclockwise with the X-axis. The coordinates of the transformed point will be a.(7.5, 5) b.(10, 5) c.(7.5, -5) d.(10, -5)

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