Use Table 4.170 to compute the node number of the H4 node whose coordinates are (13, 6). The second approach to Hilbert curve traversal uses Table Ans.43. Orientation #2 of the H2 curve shown in Figure 4.162(b) is traversed in order 1223. The same orientation of the H3 curve of Figure 4.162(c) is traversed in […]

Show how to apply this method to traversing orientation #1 of Hi. A MATLAB function hilbert.m to compute the traversal of the curve is available at [Matlab 99]. It was written by Daniel Leo Lau (dllau@engr.uky.edu). The call hilbert(4) produces the 4 × 4 matrix 5 6 9 10 4 7 8 11 3 2 13 12  0

What string identifies the gray area of Figure 4.171c. Instead of constantly saying “quadrant, sub quadrant, or sub subquadrant,” we use the term “sub square” throughout this section. In Figure 4.173, state 2 of the graph is represented in terms of itself and of state 4. Show how to represent it in terms of itself

Complete this reconstruction. Before getting to the details of the compression, it may be interesting to understand why Equation (8.1) reconstructs S from L. The following arguments explain why this process works: 1. T is constructed such that F[T[i]] = L[i] for i = 0, . . . , n. 2. A look at the sorted matrix

Show how how T is used to create the encoder’s main output, L and I. Implementing the decoder is straightforward, because there is no need to create n×n matrices. The decoder inputs bits that are Huffman codes. It uses them to create the codes of C, decompressing each as it is created, with inverse move-to-front,

Encode the 64-bit input stream of Exercise 8.12 using the codes of Table 8.25. Encode the 64-bit input stream of Exercise 8.12 using the codes of Table 8.26. This section and the previous one suggest that any number system can be used to construct codes for the run lengths of zero groups. However, number systems

Interactive viewing and inspection of all image sequences and volumetric images used throughout this textbook (dip6ex01.01). Inter disiplinary nature of image processing 1. Which other sciences contribute methods that are used in digital image processing? 2. Which areas of science and technology use digital image processing techniques?

Figure 1.13 contains a systematic summary of the hierarchy of image processing operations from illumination to the analysis of objects extracted from the images taken. Investigate, which of the operations in this diagram are required for the following tasks. 1. Measurement of the size distribution of color pigments (Section 1.2.1, Fig. 1.1c) 2. Detection of

Comparison of computer vision and biological vision In Section 1.7 we discuss the components of a digital image processing system. Try to identify the corresponding components of a biological vision system. Is there a one-to-one correspondence or do you see fundamental differences? Are there biological components that are not yet realized in computer vision systems

Amounts of data in digital image processing In digital image processing significantly larger amounts of data are required to be processed as this is normally the case with the analysis of time series. In order to get a feeling of the amount of data, estimate the amount of data that is to be processed in