Polygonal Meshes with Total (Gaussian) and Mean (Square) Curvature
The models below were derived from NURBs surfaces using the
IRIT solid modeling
environment. The data is all in the IRIT format, details of which could
be found in the user manual.
Few words on these specific data sets. All the data consists of
triangles only. Each triangle looks as follows:
[POLYGON [PLANE -0.2142377 0.93292164 0.2894121 -0.8252709] 3
[[HSqrCurv 0.821374] [KCurv -3.39314]
[uvvals "0.25 0.25"] 2.21630859375 1.2895751953125 0.33521484375]
[[HSqrCurv 0.151514] [KCurv -2.3828]
[uvvals "0.25 0"] 2.1796875 1.38515625 0]
[[HSqrCurv 0.124987] [KCurv -0.701459]
[uvvals "0 0"] 1.7 1.275 0]
]
- The "[PLANE ... ]" clause defines the plane (and the normal of
the polygon, pointing inside).
- The '3' at the end of the line with the POLYGON keyword states
that three vertices are to be expected (always the case for these
data sets).
- Each vertex has the forms of '[[attribute_1 ... ] ... [attribute_N ... ] x y z]'
- The 'HSqrCurv' attribute denotes the mean curvature square value
of the surface at that vertex.
- The 'KCurv' attribute denotes the total (Gaussian) curvature
value of the surface at that vertex.
- The 'uvvals' attribute provides denotes UV parametric values of
the original surface at that location.
The title/picture of each surface below also allows you to download
the original NURBs surface, again in IRIT format (see user
manual)
96 triangles
216 triangles
600 triangles
1176 triangles
2400 triangles
4704 triangles
128 triangles
288 triangles
512 triangles
1152 triangles
2048 triangles
5000 triangles
11552 triangles
120 triangles
616 triangles
1496 triangles
2760 triangles
5544 triangles
120 triangles
616 triangles
1496 triangles
2760 triangles
5544 triangles
144 triangles
256 triangles
576 triangles
1024 triangles
2304 triangles
5184 triangles
144 triangles
400 triangles
1024 triangles
2304 triangles
5184 triangles
128 triangles
288 triangles
512 triangles
1152 triangles
2592 triangles
4608 triangles