Virtual Labs

1. Which of the following is an example of a geometric image transformation?

a: Translation Explanation

Explanation

b: Histogram calculation Explanation

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c: Pixel intensity thresholding Explanation

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d: Image compression Explanation

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2. Which transformation changes the position of an image without changing its orientation or size?

a: Rotation Explanation

Explanation

b: Translation Explanation

Explanation

c: Scaling Explanation

Explanation

d: Interpolation Explanation

Explanation

3. What is the main effect of scaling on an image?

a: It changes only the image orientation. Explanation

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b: It changes only the image position. Explanation

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c: It changes the size of the image. Explanation

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d: It changes the interpolation method. Explanation

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4. For a rotation by an angle

\theta

about the origin, which matrix represents the rotation transformation?

\begin{bmatrix}\cos\theta & \sin\theta \\\ -\sin\theta & \cos\theta\end{bmatrix}

Explanation

\begin{bmatrix}1 & 0 \\\ 0 & 1\end{bmatrix}

Explanation

\begin{bmatrix}1 & t_x \\\ 1 & t_y\end{bmatrix}

Explanation

\begin{bmatrix}\cos\theta & -\sin\theta \\\ \sin\theta & \cos\theta\end{bmatrix}

Explanation

5. A point

(4,0)

is rotated by

30^\circ

about the origin. Approximately where does the point move?

(4,2)

Explanation

(3.46,2)

Explanation

(2,3.46)

Explanation

(-3.46,2)

Explanation

6. Why is interpolation required during image rotation or scaling?

a: Because the transformed coordinates may not fall exactly on the original pixel grid. Explanation

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b: Because translation cannot be represented mathematically. Explanation

Explanation

c: Because scaling always changes the image orientation. Explanation

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d: Because interpolation changes the transformation matrix. Explanation

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7. Which interpolation method uses the value of the nearest pixel to estimate the value at a transformed location?

a: Bilinear interpolation Explanation

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b: Bicubic interpolation Explanation

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c: Nearest-neighbor interpolation Explanation

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d: Inverse interpolation Explanation

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8. Which interpolation method uses the four pixels surrounding the required location?

a: Nearest-neighbor interpolation Explanation

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b: Bilinear interpolation Explanation

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c: Bicubic interpolation Explanation

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d: Inverse mapping Explanation

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9. What happens when multiple image transformations are applied in a different order?

a: The final image is always identical. Explanation

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b: Only the interpolation method changes. Explanation

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c: The transformations are automatically cancelled. Explanation

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d: The final transformed image may be different. Explanation

Explanation

Affine Transformation