Mathematics of Surfaces XI: 11th IMA International Conference, Loughborough, UK, September 5-7, 2005, Proceedings

by Ralph Martin (Editor)

This volume collects the papers accepted for presentation at the 11th IMA Conference on the Mathematics of Surfaces, held at Loughborough University, 5th-7th September 2005. As with all earlier conferences in the series, contri- tors to this volume comefrom manycountries. The paperspresented herere?ect the interest in a subject of relevance to mathematics, engineering, and computer science, especially in domains such as computer-aided design, computer vision, and computer graphics. The papers in the present volume include eight invited papers, as well as a larger number of submitted papers. They cover a range of ideas from - derlying theoretical tools to industrial and medical uses of surfaces. The latter category includes such diverse topics as surfaces in car design, and modelling of teeth, while the former includes papers on Voronoi diagrams, linear systems, estimation of curvatures on meshes, operators on meshes, intersection of sub- vision surfaces, approximate parameterization, condition numbers, Pythagorean hodographs, artifactsinB-splinesurfaces, B´ eziersurfacesofminimalenergy, line subdivision, subdivision surfaces, level sets and symmetry, the topology of - gebraic surfaces, curve analysis, interpolation with positivity, and conversion of cyclides to NURBS. Other papers concentrate on particular algorithms arising from applications, such as embedding graphs in manifolds, recoveryof 3D shape from shading, ?nding optimal feedrates for machining, detection of creases in range data, and ?lling holes in range data. We would like to thank all those who attended the conference and helped to make it a success.

488 pages, Paperback

First published January 1, 2005

About the author

Ralph Martin has been a leader in renewal movements in the Catholic Church for many years. After graduating from the University of Notre Dame, he did graduate work in philosophy at Princeton University and holds an MA in Theology from Sacred Heart School of Theology in the Archdiocese of Detroit, a Licentiate in Sacred Theology (S.T.L.) from the Pontifical Faculty of the Immaculate Conception at the Dominican House of Studies in Washington, D.C., and a Doctorate in Sacred Theology (S.T.D.) from the Pontifical University of St. Thomas (the “Angelicum”) in Rome. He worked for a number of years for the National Office of the Cursillo Movement and subsequently became a leader in the national and international development of the charismatic renewal movement in the Catholic Church. He was the founding editor of New Covenant Magazine, as well as the founding director of the International Catholic Charismatic Renewal Office, currently located in Rome.

Currently, Ralph is president of Renewal Ministries, an organization devoted to Catholic renewal and evangelization (www.renewalministries.net). Ralph is also the host of “The Choices We Face” a widely viewed weekly Catholic television and radio program distributed throughout the world. Renewal Ministries is accountable in its work to a Board of Directors in the United States, which Archbishop Robert Carlson of St. Louis, serves as Episcopal Advisor, and to a Board in Canada that Cardinal Thomas Collins of Toronto, serves as Episcopal Advisor. Renewal Ministries is also actively involved in assisting the Church in more than 30 different countries through leadership training, evangelistic conferences and retreats, and the publication and distribution of Catholic resources.

Ralph is also an associate professor and Director of Graduate Theology Programs in the New Evangelization at Sacred Heart Major Seminary in the Archdiocese of Detroit (www.shms.edu) and a Visiting Professor of Theology at the Franciscan University of Steubenville. He was named by Pope Benedict XVI as a Consultor to the Pontifical Council for the New Evangelization and was also appointed as a “peritus” to the Synod on the New Evangelization in October of 2012.

He and his wife Anne have six children and 14 grandchildren and reside in Ann Arbor, Michigan.