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Shape Descriptors (Perimeter, Area, Compactness, Eccentricity) — MCQs | Digital Image Processing

1. What does the perimeter of a shape represent in digital image processing?

(A) Number of pixels inside the shape


(B) Average pixel intensity


(C) Boundary length of the shape


(D) Diameter of the shape



2. Which shape descriptor measures the space enclosed by a shape?

(A) Perimeter


(B) Compactness


(C) Area


(D) Eccentricity



3. What is the formula for compactness in shape analysis?

(A) Area / Perimeter


(B) (Perimeter²) / Area


(C) Perimeter / Area²


(D) (Area²) / Perimeter



4. What does a compactness value closer to 1 indicate?

(A) Shape is irregular


(B) Shape is rectangular


(C) Shape is circular


(D) Shape is elongated



5. Which of the following best defines eccentricity in shape descriptors?

(A) Ratio of perimeter to area


(B) Ratio of minor to major axis


(C) Ratio of major to minor axis


(D) Product of perimeter and area



6. What does high eccentricity imply about a shape?

(A) It is close to a circle


(B) It is highly compact


(C) It is elongated


(D) It has small area



7. Which shape has the lowest compactness value among the following?

(A) Circle


(B) Rectangle


(C) Triangle


(D) Irregular blob



8. Which descriptor can help differentiate between a circle and an ellipse?

(A) Area


(B) Perimeter


(C) Eccentricity


(D) Compactness



9. What is the compactness of a perfect circle?

(A) π


(B) 1


(C) 4π


(D) 0



10. Which feature is most useful for distinguishing between elongated and round shapes?

(A) Area


(B) Perimeter


(C) Compactness


(D) Eccentricity



11. What does an eccentricity value of 1 indicate in an ellipse?

(A) It is a perfect ellipse


(B) It is a line


(C) It is a circle


(D) It is square



12. How is area calculated in a digital binary image?

(A) Number of white pixels in the object


(B) Number of pixels on the border


(C) Sum of gray levels


(D) Difference between width and height



13. Which descriptor is least affected by rotation of the object?

(A) Area


(B) Perimeter


(C) Compactness


(D) Eccentricity



14. Which of the following is not a shape descriptor?

(A) Perimeter


(B) Histogram Equalization


(C) Area


(D) Eccentricity



15. What is the unit of area in a binary image?

(A) cm²


(B) Number of pixels


(C) mm²


(D) Inches



16. If an object has a very high compactness value, what does it suggest?

(A) The shape is nearly circular


(B) The shape is large


(C) The shape is very irregular


(D) The shape is square



17. Which descriptor is scale-invariant under uniform scaling?

(A) Perimeter


(B) Area


(C) Compactness


(D) Diameter



18. In digital image processing, what is often used to normalize shape descriptors?

(A) Color


(B) Intensity


(C) Bounding box


(D) Scale factor



19. Which feature varies with zoom level in an image?

(A) Eccentricity


(B) Area


(C) Compactness


(D) Shape



20. How does rotation affect eccentricity of a shape?

(A) Increases


(B) Decreases


(C) Remains constant


(D) Becomes zero



21. Which of the following helps in detecting circularity of a region?

(A) Eccentricity


(B) Compactness


(C) Area


(D) Histogram



22. Which feature describes how stretched a shape is?

(A) Area


(B) Eccentricity


(C) Perimeter


(D) Solidity



23. Which of the following will change if the image is scaled up?

(A) Eccentricity


(B) Compactness


(C) Area


(D) Shape



24. A shape with high compactness and low eccentricity is likely to be:

(A) Square


(B) Elliptical


(C) Circular


(D) Irregular



25. In a perfect ellipse, how is eccentricity defined?

(A) 0


(B) Between 0 and 1


(C) Greater than 1


(D) Exactly 1



26. Which of the following is most useful in measuring the overall irregularity of an object?

(A) Perimeter


(B) Area


(C) Compactness


(D) Width



27. If two objects have the same area but different perimeters, which descriptor best highlights the difference?

(A) Eccentricity


(B) Compactness


(C) Diameter


(D) Bounding box



28. What is the effect of noise on perimeter calculation?

(A) No effect


(B) Reduces it


(C) Increases it


(D) Makes it zero



29. Which shape descriptor can help detect elongated structures in medical imaging?

(A) Area


(B) Compactness


(C) Eccentricity


(D) Diameter



30. The ratio of area to bounding box area is called:

(A) Compactness


(B) Solidity


(C) Eccentricity


(D) Circularity



31. Which descriptor remains unchanged after image rotation?

(A) Perimeter


(B) Area


(C) Eccentricity


(D) All of the above



32. What does perimeter measure in a binary image?

(A) Intensity


(B) Thickness


(C) Boundary length


(D) Shape depth



33. Which descriptor best differentiates a star shape from a circle of equal area?

(A) Area


(B) Compactness


(C) Perimeter


(D) Eccentricity



34. Which feature becomes unstable for very small shapes?

(A) Area


(B) Perimeter


(C) Eccentricity


(D) Compactness



35. Which descriptor is most robust to small boundary fluctuations?

(A) Eccentricity


(B) Compactness


(C) Area


(D) Perimeter



36. Compactness is a dimensionless quantity because:

(A) It is always an integer


(B) Units cancel out


(C) It is zero


(D) It is a ratio of lengths



37. Which of the following describes the distribution of mass in a shape?

(A) Eccentricity


(B) Centroid


(C) Compactness


(D) Solidity



38. How is a circularity measure different from compactness?

(A) It is not scale-invariant


(B) It uses diameter


(C) It is normalized to 1 for circles


(D) It cannot be calculated for irregular shapes



39. What is the value of eccentricity for a perfect circle?

(A) 0


(B) 0.5


(C) 1


(D) Infinite



40. Which of the following is a global shape descriptor?

(A) Eccentricity


(B) Texture


(C) Gradient


(D) Edge map



41. Which shape descriptor is used in Fourier descriptors as normalization factor?

(A) Area


(B) Perimeter


(C) Compactness


(D) Eccentricity



42. The centroid of a shape is its:

(A) Topmost point


(B) Center of mass


(C) Longest edge


(D) Diameter



43. In binary shape analysis, the perimeter is typically calculated using:

(A) Area counting


(B) Run length coding


(C) Border tracing


(D) Thresholding



44. How can one reduce the impact of noise on perimeter calculation?

(A) Use a smaller image


(B) Increase contrast


(C) Apply smoothing


(D) Count pixels twice



45. A rectangle has higher eccentricity than:

(A) Line


(B) Circle


(C) Ellipse


(D) Triangle



46. Which of the following is not a rotationally invariant shape descriptor?

(A) Area


(B) Perimeter


(C) Major Axis


(D) Compactness



47. Which descriptor helps in estimating object elongation?

(A) Area


(B) Solidity


(C) Eccentricity


(D) Orientation



48. Solidity equals 1 for which shape?

(A) Donut


(B) Square


(C) Convex shape


(D) Concave shape



49. Which descriptor is most affected by jagged edges?

(A) Compactness


(B) Eccentricity


(C) Area


(D) Solidity



50. Which of the following pairs best differentiates circular and elongated shapes?

(A) Area and Solidity


(B) Eccentricity and Compactness


(C) Perimeter and Orientation


(D) Diameter and Convex Hull



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