# Stripe-Based Futurism-like Image--A New Type of Art and Its Application to Cover Communication
## 2 Creation of Stripe-Based Futurism-like Images
### Proposed Art Image Creation Process
The length \(L_{c}\) in the X-coordinate direction of the chain code segment \(E_{i}\) is larger than a half of the region width or when the length \(L_{c}\) in the Y-coordinate direction of the chain code segment \(E_{i}\) is larger than a half of the region height. 2. The chain code value of the \(c\)-th segment, in the DCC sequence \(X_{1}\), \(X_{2}\),..., \(X_{m}\) or \(Y_{1}\), \(Y_{2}\),..., \(Y_{m}\) changes from \(-1\) to \(+1\) or from \(+1\) to \(-1\). 4. Obtain the position (\(P_{\text{xi}}\)), \(P_{\text{yi}}\)) of a corner point, say the \(j\)-th corner point, in the corner point sequence \(P_{i}\) from the \(c\)-th segment in \(E_{i}\) by the following method, assuming that each of the functions \(F_{\text{x}}\) and \(F_{\text{y}}\) computes, respectively, the changes of X and Y coordinates in direction according to Table 1, and that the previous corner segment is the \(b\)-th segment in \(E_{i}\): \[P_{\text{xij}} =P_{\text{xi}(j-1)}+\sum_{a=b+1}^{c}(F_{\text{x}}(D_{a})\times L_ {a})\] \[P_{\text{yij}} =P_{\text{yi}(j-1)}+\sum_{a=b+1}^{c}\left(F_{\text{y}}(D_{a}) \times L_{a}\right)\] 5. Delete a corner point of two neighboring ones if the distance between the two is smaller than a quarter of the shorter of the region width and height. 6.3 Connect the resulting corner points of each region \(R_{i}\) in order as the new edges of region \(R_{i}\). 6.4 Obtain new regions, called adjusted regions, from the new edges and denote them as \(R_{1}\), \(R_{2}\),..., \(R_{k}\) by filling pixels into their interiors and deleting the original pixels, which belong to the original regions but outside the adjusted regions. 7. Merge the remaining regions, which are residues after the adjustment of the last step, into the nearest adjacent regions of \(R_{1}\), \(R_{2}\),..., \(R_{k}\) according to the measure of distance between the average \(h\)-colors of the remaining regions and the adjusted regions. 8. Re-compute the chain codes and the corner points of \(R_{1}\), \(R_{2}\),..., \(R_{k}\) by repeating Steps 3 through 6. 8. Perform the following steps to obtain the region direction of each adjusted region \(R_{i}\), (\(i=1\) through \(k\)) using their resulting corner points. 9.1 Acquire an edge from region \(R_{i}\) with its length and angle to form an edge vector. 9.2 Classify the edge vectors of \(R_{i}\) into ten groups according to the angles of the edge vectors, each group covering the range of 18 degrees in orientation. 9.3 Calculate the sum of the lengths of the vectors in each group of \(R_{i}\) separately. 9.4 Take the direction of the group with the maximum sum value as the desired direction of the region \(R_{i}\). * [Step 10] Partition each adjusted region \(R_{i}\), (\(i=1\) through \(k\)) into stripes according to the region direction of \(R_{i}\), and the parameter of the stripe width \(W_{s}\). * [Step 11] Compute the average region color \(C_{1}\), \(C_{2}\),..., \(C_{k}\) of each adjusted region \(R_{i}\), (\(i=1\) through \(k\)). * [Step 12] Draw the partitioning line between every two stripes with the color black. * [Step 13] Fill the stripes in each \(R_{i}\) (\(i=1\) through \(k\)) with the average region color \(C_{i}\), or the color white alternatively. * [Step 14] Assign the color black to all the pixels of the boundary of each region \(R_{i}\) described by its chain-code sequence. * [Step 15] Take the final image \(S\) as the desired stripe-based Futurism-like art image \(F\). In the above algorithm of stripe-based Futurism-like image creation, the focus is on the processes of polygon approximation for region shape adjustment and finding the region direction by use of the chain codes for stripe generation. By connecting the corner points yielded by analyzing the chain codes, a simpler shape of each region in the input image can be obtained. The effect of polygon approximation also shows the geometric style of the school of Futurism, as can be seen from the examples of experimental results shown in Figures 4 and 10.