### Table 1 lists values of polygon count, surface area and total volume, for the models extracted from scalar volume

2003

"... In PAGE 8: ...Table1 . Total polygon count in the models N poly , surface areas A and volumes V and before/after application of the level set smoothing to datasets V 1 and V 2 .... ..."

Cited by 11

### Table 2 The number of polygons of each example

2004

"... In PAGE 7: ... Finally, the polygonal surface is successfully remeshed into a graded triangular mesh as shown in Figure 13 (c), and it consists of 140,443 triangles (12% of the input.) Table2 shows the number of polygons of the input polygonal surfaces and the number of elements of the output meshes of the examples. The number of ... ..."

Cited by 1

### Table 1. Total polygon count in the models N

2003

"... In PAGE 8: ... Assuming that all of the extracted models are composed of closed polygonal surfaces, we can compute enclosed volume as a a signed sum of the pyramids with a base composed of the i apos;th triangle and a top vertex places at the origin of the dataset. 32 Then V 1 6 N poly X i=1 A i 1 3 (v 1 i + v 2 i + v 3 i ) N i ;; (17) Table1 lists values of polygon count, surface area and total volume, for the models extracted from scalar volume datasets (V 1 and V 2 ), before and after the level set algorithm is applied to the volumes. We note that the polygon count drops, because of the simpli ed form of the nal extracted triangular mesh.... ..."

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### Table 2 enumerates all of the possible critical-point/sign combinations and their corresponding im- plications on the implicit surface topology. When an implicit surface topology change is detected, the polygonization must be altered to properly represent the new topology.

1997

"... In PAGE 10: ... Table2 : The affect of critical point sign on topology. 4.... ..."

Cited by 85

### Table 2 enumerates all of the possible critical-point/sign combina- tions and their corresponding implications on the implicit surface topology. When an implicit surface topology change is detected, the polygonization must be altered to properly represent the new topology.

1997

"... In PAGE 4: ... Table2 : The affect of critical point sign on topology. 4.... ..."

Cited by 85

### Table 2 enumerates all of the possible critical-point/sign combina- tions and their corresponding implications on the implicit surface topology. When an implicit surface topology change is detected, the polygonization must be altered to properly represent the new topology.

"... In PAGE 4: ... Table2 : The affect of critical point sign on topology. 4.... ..."

### Table 2 enumerates all of the possible critical-point/sign combina- tions and their corresponding implications on the implicit surface topology. When an implicit surface topology change is detected, the polygonization must be altered to properly represent the new topology.

"... In PAGE 4: ... Table2 : The affect of critical point sign on topology. 4.... ..."

### Table II. This table contains the sizes of the polygonal models as they move through the simpli cation pipeline. Table I above, gives the timing information for these model sizes. pipeline is that it produces models in which the small features are completely absent. When morphological changes are performed before polygonal simpli cation, the polygon-based simpli- cation stage never needs to be concerned with the small features in any way. The polygon-based method is never penalized for creating a surface that is distant from the small features because it never has knowledge of these small features. This results in better simpli ed models.

### Table 2 enumerates all of the possible critical-point/sign combinations and their corresponding im- plications on the implicit surface topology. When an implicit surface topology change is detected, the polygonization must be altered to properly represent the new topology. Changes in topology due to 2-saddle and 1-saddle critical value sign changes are demonstrated in Figures 7 and 8.

1997

"... In PAGE 14: ... Table2 : The affect of critical point sign on topology. 4.... ..."

Cited by 85

### Table 1: Rendering statistics for triangular surfaces (times in seconds).

"... In PAGE 9: ... 16: Reflective free form surface (a) rendered with new ray tracing method and (b), (c) rendered from polygonal approximation, without and with normal vector interpolation. The statistics for all above images are shown in Table1 . Setup time denotes the time spent in pre-processing for the creation of the subdivision tree and rendering time is the time spent ray tracing 512 by 512 images.... ..."