### Table 1: Bit-rate together with the distortion values in parenthesis when it is failed to be bounded (VCPB used the accurate distortion measurement and FCPB used TB [4]-[7]).

"... In PAGE 4: ... The subjective results produced by the different techniques upon the lip region of the 30th frame of the Miss America video sequence for pel T T 1 , 2 min max = = are presented in Figure 5(a)- (d) while the numerical results along with for some other admissible distortion pairs are summarised in Table 1. As shown in Table1 , for polygonal approximation with pel T T 2 , 3 min max = = the existing algorithms considering FCPB of 1 pel required 55 bits to encode the shape while with the width similar to the mini-max bound the algorithms required 51 bits. The mini-max bound required lower bits than a FCPB of 1 pel.... In PAGE 5: ...2 pel whereas it was supposed to be bounded by maximum of 2 pel. From the results in Table1 it is found that there was no inaccuracy in distortion measurements while using the use of accurate distortion measure. It is also endorsed by the example in Figure 5(c) that the inaccuracy regarding the distortion no longer persists with the application the accurate distortion measurement.... ..."

### Table 1. Aesthetic measure M applied on shape distortion sequence.

### Table 1. Aesthetic measure M applied on shape distortion sequence.

### Table 2. Extended aesthetic measure M( quot;; ) applied on shape distortion sequence.

"... In PAGE 7: ... Let us set the length tolerance quot; =0:1and the angle tolerance =5 . If formula (3) together with considered tolerances is applied on the vase sequence, results overviewed in Table2 are obtained. The extended aesthetic measure function M( quot;; ) tends to respect a progress of function M in each of its monotonous intervals, as demonstrated in Fig.... ..."

### Table 2. Extended aesthetic measure M( quot;; ) applied on shape distortion sequence.

"... In PAGE 7: ... Let us set the length tolerance quot; = 0:1 and the angle tolerance = 5 . If formula (3) together with considered tolerances is applied on the vase sequence, results overviewed in Table2 are obtained. The extended aesthetic measure function M( quot;; ) tends to respect a progress of function M in each of its monotonous intervals, as demonstrated in Fig.... ..."

### Table 1. The equivalent widths (in A) of the most prominent emission lines from GX 339?4 and of the main interstellar absorption lines.

### Table 1: Number of vertices, examples, control transformations, and proxy vertices in our meshes. We show the computation time for our solver compared to that of Sumner and colleagues (MIK) [2005]. All timings are in seconds. Comparison of percent error distortion E between a full vertex representation and usage of proxy vertices shows that the latter is comparably accurate.

"... In PAGE 5: ... Resolution-Independent Interaction. Table1 provides statis- tics about our experiments, including the number of mesh vertices, examples, control transformations, and proxy vertices. The running times provided are given for one iteration of our nonlinear solver; all timing was measured on a 3.... In PAGE 5: ... 2005] requires approximately one sec- ond to generate new meshes from the set of human poses, whereas our system allows posing and shape blending more than an order of magnitude faster. We validate our approximations of the example meshes by treat- ing them as a mesh sequence and measuring error in terms of per- cent distortion [Karni and Gotsman 2004], shown in the last column of Table1 . Example reconstruction using deformation gradients for all vertices incurs error due to approximation with controls.... ..."

### Table 1: Number of vertices, examples, control transformations, and proxy vertices in our meshes. We show the computation time for our solver compared to that of Sumner and colleagues (MIK) [2005]. All timings are in seconds. Comparison of percent error distortion E between a full vertex representation and usage of proxy vertices shows that the latter is comparably accurate.

"... In PAGE 5: ... Resolution-Independent Interaction. Table1 provides statis- tics about our experiments, including the number of mesh vertices, examples, control transformations, and proxy vertices. The running times provided are given for one iteration of our nonlinear solver; all timing was measured on a 3.... In PAGE 5: ... 2005] requires approximately one sec- ond to generate new meshes from the set of human poses, whereas our system allows posing and shape blending more than an order of magnitude faster. We validate our approximations of the example meshes by treat- ing them as a mesh sequence and measuring error in terms of per- cent distortion [Karni and Gotsman 2004], shown in the last column of Table1 . Example reconstruction using deformation gradients for all vertices incurs error due to approximation with controls.... ..."

### Table 1: Number of vertices, examples, control transformations, and proxy vertices in our meshes. We show the computation time for our solver compared to that of Sumner and colleagues (MIK) [2005]. All timings are in seconds. Comparison of percent error distortion E between a full vertex representation and usage of proxy vertices shows that the latter is comparably accurate.

"... In PAGE 5: ... Resolution-Independent Interaction. Table1 provides statis- tics about our experiments, including the number of mesh vertices, examples, control transformations, and proxy vertices. The running times provided are given for one iteration of our nonlinear solver; all timing was measured on a 3.... In PAGE 5: ... 2005] requires approximately one sec- ond to generate new meshes from the set of human poses, whereas our system allows posing and shape blending more than an order of magnitude faster. We validate our approximations of the example meshes by treat- ing them as a mesh sequence and measuring error in terms of per- cent distortion [Karni and Gotsman 2004], shown in the last column of Table1 . Example reconstruction using deformation gradients for all vertices incurs error due to approximation with controls.... ..."

### Table 1: Continuous Symmetry Measure S-values of various distorted hexagons. Shape S(C2) S(C3) S(C6) S( )

"... In PAGE 9: .... The S value is calculated as in Step 6 above. The proof that this procedure is the minimal most e cient operation is given in the Ap- pendix. Table1 collects the CSM values of S(C2), S(C3) and S(C6) for the set of hexagons shown in Fig. 2.... In PAGE 10: ... 10 shows a number of shapes, their S( ) values and the symmetrized objects obtained. See also Table1 for the S( ) of the hexagons of Fig. 2.... In PAGE 10: ... Examples are the hexagons of Fig. 2 in which one bond is opened, with the corresponding S values in Table1 . The strength of our approach is, however, that it is not necessary to \guess quot; what is the suitable conformer... ..."