|
ABSTRACT
We present a surface modeling technique that supports adaptive resolution and hierarchical editing for surfaces of spherical topology. The resulting surface is analytic, Ck, and has a continuous local parameterization defined at every point. To manipulate these surfaces we describe a user-interface based on multiple, overlapping subdivision-style meshes.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
 |
1
|
|
| |
2
|
|
| |
3
|
Borwein, P., and Erd, T. 1995. Horner's rule. pg. 8.
|
| |
4
|
Catmull, E., and Clark, J. 1978. Recursively generated B-spline surfaces on arbitrary topological meshes. Computer Aided Design 10, 6 (Nov.), 350--355.
|
| |
5
|
|
 |
6
|
|
| |
7
|
Doo, D., and Sabin, M. 1978. Behaviour of recursive division surfaces near extraordinary points. Computer Aided Design 10, 6 (Nov.), 356--360.
|
 |
8
|
|
 |
9
|
|
 |
10
|
|
| |
11
|
Grimm, C., and Hughes, J. 1995. Modeling surfaces of arbitrary topology using manifolds. Computer Graphics 29, 2 (July), 359--369.
|
| |
12
|
Grimm, C., and Hughes, J. 2003. Parameterizing n-holed tori. Mathematics of Surfaces X (Sept. 17-19th), 14--29.
|
| |
13
|
|
| |
14
|
Grimm, C. 2004. Parameterization using manifolds. International Journal of Shape Modelling 10, 1 (June), 51--80.
|
 |
15
|
|
| |
16
|
|
| |
17
|
|
 |
18
|
|
| |
19
|
Leung, R., and Mann, S. 2003. Distortion minimization and continuity preserving in surface pasting. Graphics Interface (May), 193--200.
|
 |
20
|
|
 |
21
|
|
 |
22
|
|
| |
23
|
|
| |
24
|
Nelder, J. A., and Mead, R. 1965. A simplex method for function minimization. In Computer Journal, vol. 7, 308--313.
|
| |
25
|
|
| |
26
|
Peters, J. 2004. Smoothness, fairness and the need for better multi-sided patches. Topics in algebraic geometry and geometric modeling 334, 197--207.
|
 |
27
|
|
| |
28
|
Pulli, K., and Lounsbery, M. 1997. Hierarchical editing and rendering of subdivision surfaces. Tech. Rep. TR-97-04-07.
|
| |
29
|
|
| |
30
|
Saba, S. 2005. Barycentric spherical parameterization of genus-0 3d meshes. MSc Thesis, Technion.
|
 |
31
|
|
 |
32
|
|
 |
33
|
|
| |
34
|
Stauning, O., and Bendtsen, C. Fad: http://www.imm.dtu.dk/nag/proj_km/fadbad/.
|
 |
35
|
|
 |
36
|
|
| |
37
|
|
| |
38
|
|
|