### Table 2 - Volume rendering approaches that avoid this interpolation artifact.

1998

"... In PAGE 8: ... There are three alternative approaches to avoiding the interpolation artifacts described in Section 2. These are summarized in Table2 . The first alternative is to store raw data (material) values themselves, interpolate these down to ray samples, and then classify the interpolated results [Osb97,Sch96,Avi94,Hoh90].... ..."

Cited by 36

### Table 2: Comparison of various normal interpolation approaches from time consumption point of view in terms of elementary oper- ations.

### Table 7-1: Image Interpolation Run Times Varying Input Size 1 PE. Input Image Size

2000

"... In PAGE 83: ...represents the amount of time that the application spends performing tasks that are not computationally useful. Table7 -1 provides some performance data from the image interpolation application running an an Annapolis Micro Systems WILDFORCE board. The design runs at 25 MHz.... ..."

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### Table 1: Error in rational interpolant.

2006

"... In PAGE 14: ... Figure 1 shows plots of the rational interpolant with d = 3 for respectively n = 10, 20, 40, 80. The second column of Table1 shows the numerically computed errors in this example, for n up to 640, and they confirm the fourth order approximation predicted by Theorem 2. Figure 2 shows plots of the rational interpolant of the function f(x) = sin(x) at the same equally spaced points as in the previous example, but this time with d = 4.... In PAGE 14: ... Figure 2 shows plots of the rational interpolant of the function f(x) = sin(x) at the same equally spaced points as in the previous example, but this time with d = 4. The third column of Table1 shows the computed errors, which confirm the fifth order approximation predicted by Theorem 2. One advantage of the rational interpolants is the ease with which we can change the degree d of the blended polynomials.... ..."

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### Table 1: Space required by views and number of views on 10GB TPC-R database

2005

"... In PAGE 9: ...101 99.999% O(1) Table 2: Execution times (sec) on 10GB TPC-R database Table1 shows the space required for the materialized views and the number of views used for each query. As expected, view stacking slightly increases the space require- ments for most, but not all, of the queries.... ..."

Cited by 1

### Table 4. Total View Planning Time (in Seconds) for the Three Different View Planning Criteria to Expand Known C-space Volume to 95% of the Total C-space Volume View Planning Number of Total View Average Time

"... In PAGE 17: ... In contrast, the MER criterion expands known C-space in a smoother and more efficient manner. In Table4 , we show the average number of iterations (views) and the average total view planning time for each of the three criteria to explore 95% of the C-space. We can see that, overall, the MER-based view planning explores C-space faster since it takes fewer views, even if it is computationally intensive to choose the next view (average computation time per iteration is more for MER-based view planning).... ..."

### Table 2. MSE of the interpolated images.

"... In PAGE 5: ...eated for di erent well-known test images, i.e. \Cam- eraman quot;, \Boats quot;, \Pepper quot;, and \Clown quot;. All the results are presented in Table2 , where the favourable e ects of the proposed technique can be easily seen in all cases. It should be noted that, notwithstanding the fact that the test images have di erent characteristics, the parameter k of the WaDi method is selected so as to reach the best MSE value only on the test image \Lenna quot;, and it is kept xed in the remaining exper- iments.... In PAGE 5: ... A sam- ple of the obtained images is also shown: Fig.6-a is the result of cubic spline interpolation of the decimated data, while the output of the WaDi technique (k = 3, same as in Table2 ), combined again with spline in- terpolation, is reproduced in Fig.6-b.... ..."

### Table 1: Simplification results for the image-driven method. For the turbine blade model, the options column indicates the ratio of the number of exterior views to the total number of views used during simplification. For the dragon and buddha models, the options indicate the choice of shading interpolation, while the choice of texture used during simplification is given for the salamander model. All timings correspond to number of wall clock hours, minutes, and seconds. The last column gives the effective number of triangles eliminated per second, i.e. the difference in number of triangles of the original and final models over the total simplification time.

"... In PAGE 12: ...ion with 256 MB of RAM and IMPACTSR graphics. As mentioned in Section 4.2.3, we pre-simplified all of the models using our geometry-driven memoryless method [24, 25], and used the image-based cost measure for the remainder of the simplification. Table1 contains the number of triangles elimi- nated and the time spent in this pre-simplification step. This table also provides data for the image-driven step, as well as total simplification time and effective triangle reduction rates.... ..."

### Table 1. Comparison of MSEs of different interpolation schemes.

2002

"... In PAGE 4: ... However, due to paucity of space, we are unable to include the results here. The mean squared error between the original image and generated im- ages is defined as MSE = P N 1 i=1 P N 2 j=1 (^z i;;j ; z i;;j ) 2 P N 1 i=1 P N 2 j=1 (z i;;j ) 2 : (11) Table1 shows the comparison of MSE for the proposed method with standard methods like zero-order hold (ZOH). We include the errors for the case of minimization using simulated annealing (SA) also.... ..."

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### Table 2. Requirements for performance data con- tent to construct a space-time view

1998

"... In PAGE 7: ... 2.2 Refining Our Requirements Based on these observations, the re- quirements for constructing space-time views can be stated in terms of re- quirements to construct its three major components: the color bars, white spaces and message lines as summa- rized in Table2 . For example, re- quirement-1 in Table 2 implies that the control flow (for example, the branch sequence of a conditional) has to be monitored and repro- duced in the right order.... In PAGE 7: ...2 Refining Our Requirements Based on these observations, the re- quirements for constructing space-time views can be stated in terms of re- quirements to construct its three major components: the color bars, white spaces and message lines as summa- rized in Table 2. For example, re- quirement-1 in Table2 implies that the control flow (for example, the branch sequence of a conditional) has to be monitored and repro- duced in the right order. The requirements for making trace file length fixed and predictable be- fore program execution can be formalized as shown in Table 3.... ..."

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