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]
    ]
  1. The "[PLANE ... ]" clause defines the plane (and the normal of the polygon, pointing inside).
  2. 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).
  3. Each vertex has the forms of '[[attribute_1 ... ] ... [attribute_N ... ] x y z]'
  4. The 'HSqrCurv' attribute denotes the mean curvature square value of the surface at that vertex.
  5. The 'KCurv' attribute denotes the total (Gaussian) curvature value of the surface at that vertex.
  6. 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)

Utah Teapot's Body

96 triangles
216 triangles
600 triangles
1176 triangles
2400 triangles
4704 triangles


Utah Teapot's Spout

128 triangles
288 triangles
512 triangles
1152 triangles
2048 triangles
5000 triangles
11552 triangles


A Cone surface

120 triangles
616 triangles
1496 triangles
2760 triangles
5544 triangles


A Cylinder surface

120 triangles
616 triangles
1496 triangles
2760 triangles
5544 triangles


A Sphere surface

144 triangles
256 triangles
576 triangles
1024 triangles
2304 triangles
5184 triangles


An Ellipsoid surface

144 triangles
400 triangles
1024 triangles
2304 triangles
5184 triangles


A Surface of revolution

128 triangles
288 triangles
512 triangles
1152 triangles
2592 triangles
4608 triangles