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Consider the Hough Transform. Which of the following statements is/are true, ifany?(i) It is closely related to the Fourier Transform(ii) It maps from image into parameter space(iii) It is shortest path algorithm

Question

Consider the Hough Transform. Which of the following statements is/are true, ifany?(i) It is closely related to the Fourier Transform(ii) It maps from image into parameter space(iii) It is shortest path algorithm

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Solution

(i) False. The Hough Transform is not closely related to the Fourier Transform. While both are used for feature extraction in images, they serve different purposes. The Fourier Transform is used for frequency domain analysis and the Hough Transform is used for shape detection.

(ii) True. The Hough Transform does map from image space to parameter space. It is used to detect simple shapes such as lines, circles, etc. in an image. Each point in the image space corresponds to a curve in the parameter space.

(iii) False. The Hough Transform is not a shortest path algorithm. It is a feature extraction technique used in image analysis, computer vision and digital image processing. The shortest path algorithms are a completely different category of algorithms used in graph theory to find the shortest path between nodes in a graph.

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