This volume collects the research papers, short descriptions of the video presentations, and summaries of the two invited talks, that together constitute the technical proceedings of the 26th Annual Symposium on Computational Geometry (SoCG 2010), held June 13-16, at Snowbird, Utah, USA.

A total of 145 papers were received in response to the call for papers. The program committee reviewed the submissions carefully, with a distributed effort that included expert input from both members of the program committee and a host of external reviewers (acknowledged herein); the substantial help provided by the external reviewers, under serious time constraints, is very gratefully acknowledged. The program committee deliberated electronically from January 25 to February 13; based on reviews and discussions, a total of 47 papers were selected for presentation at the symposium.

The on-line review process, and the electronic discussion and decision process were all conducted with the aid of the free conference management system EasyChair.

The papers presented in these proceedings generally represent preliminary, often abstracted, results of ongoing research. We anticipate that most of these papers will eventually appear in a more fully developed form in refereed journals.

In addition to the technical papers, seven videos were received in response to the call for videos and multimedia submissions. Five videos were accepted by the video and multimedia committee for presentation at the symposium. The web proceedings showcase the revised videos at http://www.computational-geometry.org/SoCG-videos/socg10video/.