Mesecina is a software to visualize and study the medial axis and related computational geometry structures in the plane.
A new skeletal structure has been designed with the support of Mesecina. You can find the formal definition and discussion about its behaviour including topological proofs in the paper on "The Scale Axis Transform" page.
Additionally you can check out a video about the scale axis -- results are generated with an extended (yet unreleased) version of Mesecina. All these results has been presented at Symposium on Computational Geometry 2009.
The manuscript containing the proofs for the structural results visualized in the SoCG 2007 video is available for download: Joachim Giesen, Balint Miklos, Mark Pauly: The Medial Axis of the Union of Inner Voronoi Balls in the Plane.
The Windows binaries of Mesecina are available for download. The download includes user manual and some sample datasets, as well. For more info see the download page. If you just want to see how Mesecina looks like in action click here.
The Medial Axis Approximation from Inner Voronoi Balls: A Demo of the Mesecina Tool will appear in the Multimedia Session of the Symposium on Computational Geometry 2007. See the video and the extended abstract here.
Visit the Images page to see dozens of interesting, colorful figures created with Mesecina.
This software allows you to visualize and study the medial axis and related computational geometry structures in the plane. It is ideal to visualize and show computational geometry structures for educational purposes, and it is a very useful tool supporting computational geometry research.
Mesecina has a powerful high quality rendering with transparency, hardware accellerated anti-aliazing. Color, line width, point size, opacity and display order of any object is configurable using simple sliders and color pickers. Mesecina's flexible user interface allows nice navigation functions including paning, smooth zoom in/out, exporting images in png or ps, pdf vector formats.
The input is a point sample of a shape boundary, which can be interactively edited while the computational geometry structures are updated on-the-fly. Mesecina can compute and visualize the following structures: