Skip to content

Commit 6be55ee

Browse files
Update README.md
1 parent b0177fe commit 6be55ee

File tree

1 file changed

+26
-0
lines changed

1 file changed

+26
-0
lines changed

README.md

Lines changed: 26 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -1,2 +1,28 @@
11
# A-New-Approach-to-the-Construction-of-Subdivision-Algorithms-The-MATLAB-Software-Package
22
This software package creates subdivision matrices for generalized quadratic and cubic B-spline subdivision. The algorithms produce subdivision matrices for subdivision surfaces as well as subdivision volumes. The subdivision matrices define refinement rules for arbitrary combinatorial structures. Irregular points and edges are supported in all cases. All generated subdivision matrices have a valid eigenstructure: they have a subdominant eigenvalue of 1/2 with multiplicity two (for subdivision surfaces) and multiplicity three (for subdivision volumes). Moreover the central part of the structure forms a convex polytope (or in the cubic case, a set of cubes whose outer faces form a central polytope). The software package also includes a number of additional functions, such as plotting the evaluated B-spline elements or uniformly refining structures of any size.
3+
4+
5+
------------------------------------------------------
6+
7+
To use the software package, it is recommended to take a look at the accompanying
8+
9+
Manual.pdf
10+
11+
and the two live scripts:
12+
13+
DemoQuadraticLive.mlx DemoCubicLive.mlx
14+
15+
------------------------------------------------------
16+
17+
18+
This is the software package accompanying the dissertation
19+
20+
Alexander Dietz. Ein neuer Ansatz zur Konstruktion von Subdivisionsalgorithmen
21+
Dissertation. TU Darmstadt. 2025 DOI: https://doi.org/10.26083/tuprints-00030194
22+
23+
and to the corresponding English translation:
24+
25+
Alexander Dietz. A New Approach to the Construction of Subdivision Algorithms
26+
TUprints. Darmstadt. 2025 DOI: https://doi.org/10.26083/tuprints-00030195
27+
28+
Here you will find all the theoretical background.

0 commit comments

Comments
 (0)