EE5731_Questions_updated_31-31

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Justify your answer. (c) 128 Justification: A SIFT descriptor is formed from a 4x4 array of histograms, each with 8 bins. Since 4x4x8 equals 128, each keypoint generates a descriptor that is 128 numbers long. Key Aspects of SIFT Descriptors: Select all true statements regarding the generation of SIFT descriptors. (a) Each keypoint generates a descriptor with a length of 128 numbers. (b) The descriptor is computed using a histogram with 8 bins for orientations within each 4x4 block. (c) The highest peak in the orientation histogram is used to assign the keypoint orientation. (d) Additional peaks above 80% of the highest peak are also used for orientation assignment. Justify your answer. (a) Each keypoint generates a descriptor with a length of 128 numbers. Justification: As explained above, the descriptor is created from a 4x4 array of histograms with 8 bins each, resulting in a 128-number descriptor for each keypoint. (b) The descriptor is computed using a histogram with 8 bins for orientations within each 4x4 block. Justification: This is the standard method for calculating SIFT descriptors, with 8 orientation bins per block used to accumulate votes. (c) The highest peak in the orientation histogram is used to assign the keypoint orientation. Justification: The dominant direction of the gradients, indicated by the peak in the histogram, is used to assign the keypoint orientation. This makes the descriptor rotation-invariant. (d) Additional peaks above 80% of the highest peak are also used for orientation assignment. Justification: If other peaks in the orientation histogram are above 80% of the highest peak, they are used to create additional keypoints with that orientation. This allows the descriptor to account for multiple dominant directions. Histogram Bins and Descriptor Calculation: What steps are involved in calculating the histogram bins for a SIFT descriptor? Select all that apply. (a) Dividing the 16x16 area into smaller 4x4 blocks. (b) Calculating the gradient magnitude and orientation for each pixel within a block. (c) Assigning each gradient orientation to one of 36 possible bins.

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