Instructions for Authors

The geometry models in this archive cover a broad range of mathematical topics from geometry, topology, and to some extend from numerics. Examples are geometric surfaces, algebraic surfaces, topological knots, simplicial complexes, vector fields, curves on surfaces. In cases, the archive also accepts experimental data from numerical finite element simulations to allow validation of experiments by others.

Copyright Transfer

This copyright transfer provides the legal basis such that the publisher of this archive may exhibit and publish the digital models and the accompanying data on this server and on all types of future publication media.

Submission of a model implies that the model has not been published before, except perhaps in the form of an abstract, part of a published lecture, review, or thesis; that it is not under consideration for publication elsewhere; that its publication has been approved by all authors and (if appropriate) by the institution where the work was carried out; that, if and when the model is accepted for publication, the authors agree to an automatic transfer of the non-exclusive right to exhibit and publish the master models and supplemental material within this model server on any media today and in the future to the publisher of the server; and that the master model will not be published elsewhere in any format without the consent of the copyright holders.

The authors retain all other copyrights, in particular the right to publish any image of the model elsewhere.

Whenever the publisher of the archive exhibits or publishes models of the archive then authors of the models are cited and identified as authors of the models.

Review Criteria

After an author has uploaded the master file and model description, each submission is reviewed by an editor who decides about acceptance of the model submission based on the criteria

Formal Correctness
Mathematical Relevance
Technical Quality

The strict review criteria ensure that users of the EG-Model archive obtain reliable and persistent geometry models. For example, the availability of certified geometry models allows to perform validatable numerical experiments.

The author is notified by email about acceptance.

Formal Correctness

A minimal model submission consists of a master file with the geometric data of the model and a description file with numerous information about the author, the submitted files, and the mathematics of the geometry.

a master geometry file
a description file of the model
optionally, additional files for preview, printing, or explanatory purposes.

The master geometry file must be any of the geometry file formats JVX,OBJ,
POLY,BYU
which are described on the page data formats. These standard file formats allow easy conversion into other file formats.

The description file must be an XML file which validates against the data type dictionary eg-model.dtd. The DTD is the formal specification of the XML description file.

It is recommended to supply a preview image and a smaller data set for interactive visualization on the web.

Mathematical Relevance

Each model must describe either a distinguished problem of mathematical importance or a classic geometry. For example,

the geometry is a counter example to a conjecture, or
the first numerical solution of a problem, or
another solution to an already solved problem but having different properties, or
having other well-distinguished properties.

Technical Quality

An important issue is the resolution and accuracy in which geometry models are computed. The following criteria serve as a guide line

use double precision for floating point number and prefer integers where appropriate.
make a triangulation as regular as possible.
try to use a simplicial grid which avoids gaps in meshes and double vertices.
avoid degenerate numerical situations like thin triangles, triangles of area zero.
reduce the size of the geometry model by removing recomputable data.

The technical quality of a numerically obtained geometry model is hard to measure, and the editors will decide case by case. There exist several software tools for optimizing geometries, for example, JavaView allows to validate and simplify geometric surfaces.