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Topological Mesh Modeling is my main research direction and
TopMod is a manifold mesh modeling system that includes all the work presented in our Topological Mesh Modeling papers. My work includes more than 10 papers on high genus modeling, another approximately 10 papers on subdivision surfaces or related subdivision surfaces, A few papers covers extrusions. Thus, using TopMod, you can find a wide variety of ways to create high genus shapes; almost all subdivision algorithms, wide variety of ways to remeshing shapes, new extrusions and more. All the papers and TopMod can be downloaded from my webpage.
Journal Publications
| E. Akleman, J. Chen, "Guaranteeing 2-Manifold
Property for Meshes by Using Doubly Linked Face
List", International Journal of Shape Modeling,
Volume 5, No. 2, pp. 149-177, 2000.
(Paper)
Description: In this paper, we introduced DLFL data structure and insert edge and delete
edge operators. We have also proposed a conceptual
framework that guarantees topologically
correct 2-manifolds.
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| E. Akleman, J. Chen, V. Srinivasan and
F. Eryoldas, "A New Corner Cutting Scheme
with Tension and Handle-Face Reconstruction",
International Journal of Shape Modeling,
Volume 7, No. 2, pp. 111-121, 2001.
(Paper)
Description: Topological mesh modeling approach allows
users to change topology and by creating unusual faces. Handle-faces
are one of such faces that are commonly created during topology changes.
Vertex insertion and corner cutting
subdivision schemes can effectively be used to reconstruct handle-faces.
These reconstructions show the structure of these unusual faces.
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| E. Akleman, J. Chen and V. Srinivasan,
"A minimal and complete set of operators for the
development of robust manifold mesh modelers",
Graphical Models, Volume 65, Issue
5, pp. 286-304, September 2003.
(Paper)
Description: In this paper, we have added create vertex and
delete vertex operators to insert and delete edge operators. These four operators
provided the foundation for Topological mesh modeling. They also allowed the development of TopMod and a new user interface
paradigm for mesh modeling. |
High Genus Modeling Publications in Proceedings of Peer Reviewed Conferences
| E. Akleman and J. Chen,
"Regular Meshes",
Proceedings of Solid Modeling 2005, Boston, June 2005.
(Paper)
Description: We introduced the concept of a regular mesh that is denoted by (n,m,g) where n is the number of the sides of faces, m is the valence of vertices and
g is the genus of the mesh. This paper presents our preliminary results on regular meshes.
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| E. Akleman and J. Chen,
"Regular Meshes Construction Algorithms Using Regular Handles", Proceedings of Shape Modeling International 2006, Matsushima, japan
(Paper)
Description: This is the definitive paper on regular meshes.
We introduce a new concept called regular handles. Using
regular handles it is possible to increase genus without
increasing the number of vertices. Using regular handles, we have presented
construction algorithms for 14 essential regular mesh families.
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| E. Akleman, O. Ozener and C. Yuksel,
"Designing Symmetric High-Genus Sculptures, Proceedings of Bridges 2006, London .
(Paper)
Description: This paper introduces a design guideline to construct a family of
symmetric, connected sculptures with high number of holes and
handles. Our guideline provides users a creative flexibility.
Using this design guideline, sculptors can easily create a wide
variety of sculptures with a similar conceptual form. |
| E. Akleman, V. Srinivasan and J. Chen,
"Interactive Rind Modeling", Proceedings of Shape Modeling
International 2003, Seoul, Korea, May 2003.
(Paper)
Description: (See paper) |
| V. Srinivasan, E. Akleman and J. Chen,
"Interactive Construction of Multi-Segment
Curved Handles", Proceedings of Pacific Graphics 2002,
Beijing, China, October 2002.
(Paper)
Description: (See paper) |
| V. Srinivasan and E. Akleman,
"Connected and Monifold Sierpinsky Polyhedra",
Proceedings of Solid Modeling 2004, Genoa, Italy, June 2004.
(Paper)
Description: (See paper) |
| V. Srinivasan, E. Mandal and E. Akleman,
Solidifying Frames, Bridges:
Mathematical Connections in Art, Music, and Science
2004, Banf, Alberta, Canada, August 2005.
(Paper)
Description: (See paper) |
| E. Mandal, E. Akleman and V. Srinivasan,
"Wire Modeling",
Visual Proceedings of ACM SIGGRAPH'2003 (Siggraph Sketch),
San Diego,
California, July 2003.
(Sketch)
Description: (See sketch) |
Remeshing & Subdivision Papers in Peer Reviewed Conferences
| E. Akleman, J. Chen, V. Srinivasan,
"A New Paradigm for Changing Topology During Subdivision Modeling",
Proceedings of Pacific Graphics 2000,
Hong Kong, China, pp. 192-201, October 2000.
(Paper)
Description: (See paper) |
| E. Akleman, V. Srinivasan, and E. Mandal,
"Remeshing Schemes for Semi-Regular Tilings",
Proceedings of Shape Modeling International 2005, Boston, June 2005.
(Paper)
Description: (See paper) |
| E. Akleman, V. Srinivasan, Z. Melek and P. Edmundson,
Semi-regular Pentagonal Subdivisions, Shape Modeling
International 2004, Genoa, Italy, June 2004.
(Paper)
Description: (See paper) |
| E. Akleman, P. Edmundson and O. Ozener,
A Vertex Truncation Subdivision Scheme to Create Intriguing Polyhedra, Bridges: Mathematical Connections in Art, Music, and Science 2004, Winfield, Kansas, August 2004.
(Paper)
Description: (See paper) |
| E. Akleman and V. Srinivasan, "Honeycomb Subdivision", Proceedings of ISCIS'02, 17th International Symposium on Computer and
Information Sciences, pp. 137-141, November 2002, Orlando, Florida.
(Paper)
Description: (See paper) |
| E. Akleman and J. Chen,
"Practical Polygonal Mesh Modeling with Discrete Gaussian-Bonnet Theorem", Proceedings of Geometry, Modeling and Processing 2006, Pittsburg.
(Paper)
Description: Based on discrete
Gaussian-Bonnet theorem, which states that the summation of angle deflections of all
vertices is independent of mesh structure, it is
possible to improve organization of mesh structure of a shape
according to its intended geometric structure. |
Extrusion/Face Replacement Papers in Peer Reviewed Conferences
| E. Landreneau, E. Akleman and V. Srinivasan,
"Local Mesh Operators: Extrusions Revisited", Proceedings of Shape Modeling
International 2004, 2005, Boston, June 2005.
(Paper)
Description: This paper presents local operators that can create
extrusions that are regular polyhedra such as dodecahedron,
icosahedron, octahedron and tetrahedron. Using these extrusions unusual shapes can be
created without changing the genus. The paper also shows how to create
non-triangular planar meshes with extrusions. |
| E. Landreneau, E. Akleman and J. Keyser,
"Iterative Face Replacements for Modeling Detailed Shapes", Proceedings of Geometry, Modeling and Processing 2006, Pittsburg.
(Paper)
Description: We present a method that allows novice users to
interactively create partially self-similar manifold surfaces
without relying on shape grammars or fractal methods.
With this approach, novice users can interactively create
a variety of unusual and interesting partially self-similar
manifold surfaces. |
Additional and Useful Information: Technical Reports
| V. Srinivasan, E. Akleman and J. Keyser,
Topological Construction of 2-Manifold Meshes
from Arbitrary Polygonal Data,
Technical Report, January 2004.
(Paper)
Description: (See paper) |
| E. Akleman and J. Chen,
Progressive Refinement with Topological Simplification, Technical Report,
January 2003.
(Paper)
Description: (See paper) |
| E. Akleman and A. Kaur, Tiled Textures: What if Miro Painted a Sphere,
(Paper)
Description: What happens if Miro had seamlessly painted a sphere. We create rectangular tiles from any given image and seamlessly texture map any manifold surface with these tiles. |
Book Draft and a Short Manual
| Topological mesh Modeling Book - Early Draft (Book)
Description: This is a work in progress. All the above information will eventually be in this book and it will provide the big picture. It is still in very early developmental stage.
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| E. Akleman, V. Srinivasan, E. Mandal, J. Chen, Z. Melek, and E. Lendreneau,
"Topmod: Topological Mesh Modeling System", Technical Report, Aug. 2004.
(Paper)
Description: This is a short manual for TopMod. It provides a summary of most of the operations in TopMod.
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