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merging regions was proposed by Yakimovsky [258] An algorithm for region growing was developed by Besl and Jain [28] Color can be used for segmentation A representative treatment of segmentation techniques using color information is given in [105] For an early work based on histograms of colors, see [189] Geman and Geman's [85] stochastic relaxation approach for segmentation and restoration of images has attracted significant attention The relaxation method, also known as simulated annealing, has many applications in image analysis Explicit application of knowledge for segmentation has been addressed in many systems [30, 119, 165, 183] Knowledge-based approaches definitely have strong appeal and will potentially be very useful for segmentation of complex images So far their success has been limited due to poor performance of operators in domain-independent early processing Model-based reasoning can help [49] The model-based reasoning will emerge as a powerful approach in many applications of machine vision Considerable work on region growing for land use classification and related applications has been done in the field of remote sensing [208]
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31 Regions and boundaries may be considered duals of each other They also contain equivalent information Do you see advantages of one over the other in machine vision applications Why j 32 In the automatic thresholding approach based on the mode method, the bottom of the valley is usually used as the threshold value Assuming that the object and the background are of equal size in the image and their intensity values are drawn from two different Gaussian probability distributions N(/-Ll,(7) and N(/-L2,7),showthat the recom( mended threshold indeed results in the optimal threshold because it minimizes the misclassification error Obtain an expression for the optimal threshold for the general case when the object pixels cover p% of the image area and the object and background distributions are given by N(/-Lb(71)and N(/-L2, 72),respectively ( 33 What knowledge about the objects in images is used in the p-tile and mode methods for automatically selecting the threshold value
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34 What is the limitation of histogram-based methods for finding regions' in an image How can this be overcome in most applications Can you suggest a postprocessing method for correcting the results obtained using a histogram-based method for images that contain objects that do not have Gaussian distributions for their intensity values 35 Pyramid representations are appearing in many different forms In many common multimedia applications thumbnail sketches are used What are thumbnail sketches Can you consider these schemes a subset of pyramid schemes X 36 Find the quad tree representation for the following object
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37 Kodak's photo-CD form of image representation has become popular in several applications What is this representation What are its useful features 38 Quad tree representations have a serious limitation for applications in machine vision A connected component in an image may be distributed at distant nodes in this representation Can you suggest a scheme to modify quad trees to remove this limitation 39 Another serious problem with quad trees is the rotation and scaling of regions What will happen to the quad tree of an image if a region in it is translated, rotated, or scaled Can you suggest some solutions to overcome these problems 310 Show that the pyramid representation of an n x n image actually does fit within a linear array of size 2(22Xlevel)
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