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Pi Mu Epsilon Pi Mu Epsilon is a national mathematics honor society with 329 chapters throughout the nation. Established in 1914, Pi Mu Epsilon is a non-secret organization whose purpose is the promotion of scholarly activity in mathematics among students in academic institutions. It seeks to do this by electing members on an honorary basis according to their proficiency in mathematics and by engaging in activities designed to provide for the mathematical and scholarly development of its members. Pi Mu Epsilon regularly engages students in scholarly activity through its Journal which has published student and faculty articles since 1949. Pi Mu Epsilon encourages scholarly activity in it chapters with grants to support mathematics contests and regional meetings established by the chapters and through its Lectureship program that funds Councillors to visit chapters. Since 1952, Pi Mu Epsilon has been holding its annual National Meeting with sessions for student papers in conjunction with the summer meetings of the Mathematical Association of America (MAA). MAA Student Chapters The MAA Student Chapters program was launched in January 1989 to encourage students to con- tinue study in the mathematical sciences, provide opportunities to meet with other students in- terested in mathematics at national meetings, and provide career information in the mathematical sciences. The primary criterion for membership in an MAA Student Chapter is “interest in the mathematical sciences.” Currently there are approximately 550 Student Chapters on college and university campuses nationwide. Schedule of Student Activities Except where noted, events are at the Monona Terrace Wednesday, July 30 2:45 pm - 4:00 pm CUSAC Meeting Conference II, Concourse Hotel 4:30 pm - 5:30 pm MAA/PME Student Reception Senate Rooms AB, Concourse Hotel 5:30 pm - 6:45 pm Math Jeopardy Wisconsin Ballroom, Concourse Hotel Thursday, July 31 8:30 am - 11:30 am PME Council Meeting TBA 8:30 am - 10:25 am MAA Session #1 Meeting Room L 8:30 am - 10:25 am MAA Session #2 Meeting Room M 8:30 am - 10:25 am MAA Session #3 Meeting Room N 8:30 am - 10:25 am MAA Session #4 Meeting Room Q 8:30 am - 10:25 am MAA Session #5 Meeting Room R 9:00 am - 5:00 pm Student Hospitality Center Exhibit Hall B 1:00 pm - 1:50 pm MAA Lecture for Students Ballroom A 2:00 pm - 4:00 pm Invited Paper Session Hall Ideas H 2:00 pm - 3:55 pm PME Session #1 Meeting Room L 2:00 pm - 3:55 pm PME Session #2 Meeting Room M 2:00 pm - 3:55 pm MAA Session #6 Meeting Room N 2:00 pm - 3:55 pm MAA Session #7 Meeting Room Q 2:00 pm - 3:55 pm MAA Session #8 Meeting Room R 4:20 pm - 6:15 pm PME Session #3 Meeting Room L 4:20 pm - 6:15 pm PME Session #4 Meeting Room M 4:20 pm - 6:15 pm MAA Session #9 Meeting Room N 4:20 pm - 6:15 pm MAA Session #10 Meeting Room Q 4:20 pm - 6:15 pm MAA Session #11 Meeting Room R 2 Friday, August 1 8:30 am - 10:25 am MAA Session #12 Meeting Room L 8:30 am - 10:25 am MAA Session #13 Meeting Room M 8:30 am - 10:25 am MAA Session #14 Meeting Room N 8:30 am - 10:25 am MAA Session #15 Meeting Room Q 8:30 am - 10:25 am MAA Session #16 Meeting Room R 9:00 am - 5:00 pm Student Hospitality Center Exhibit Hall B 1:00 pm - 1:50 pm MAA Student Activities Session: What is Ballroom A the Color of My Hat? 1:00 pm - 1:50 pm MAA Student Activities Session: Mathe- Ballroom B matics in Forensics 2:00 pm - 4:55 pm PME Session #5 Meeting Room L 2:00 pm - 4:55 pm PME Session #6 Meeting Room M 2:00 pm - 4:55 pm PME Session #7 Meeting Room N 2:00 pm - 4:55 pm MAA Session #17 Meeting Room Q 2:00 pm - 4:55 pm MAA Session #18 Meeting Room R 6:00 pm - 7:45 pm PME Banquet and Awards Ceremony Grand Terrace 8:00 pm - 8:50 pm J. Sutherland Frame Lecture Ballroom AB 9:00 pm - 10:00 pm MAA Ice Cream Social and Awards Grand Terrace Saturday, August 2 9:00 am - 2:00 pm Student Hospitality Center Exhibit Hall B 9:00 am - 10:30 am MAA Modeling (MCM) Winners Hall Ideas E 9:30 am - 10:30 am Math Horizons - Meet the Editors Lecture Hall 2:30 pm - 3:45 pm Student Problem Solving Competition Ballroom A 3 8:00 - 8:50 PM Friday August 1, 2008 Ballroom AB J. Sutherland Frame Lecture THE SYMMETRIES OF THINGS John H. Conway Princeton University “Thurston’s Commandment,” namely that “Thou shalt not understand the symmetries of a geo- metrical object save by studying its orbifold” was first used (in fact before Thurston) by Murray MacBeath to enumerate the distinct finite symmetry groups that are possible for objects in space of a most three dimensions (which had been enumerated in another way by Fedorov in the 19th cen- tury). The first part of the lecture will describe the resulting groups in terms of a notation I devised some time ago, that also applies to the celebrated 17 crystallographic plane groups. The second part will describe their 3-dimensional analogs, the 219 crystallographic space groups, which were re-enumerated recently by a new method due to Conway, Delgado-Friedrichs, Huson and Thurston. It’s all easy, and there will be lots of pictures! The J. Sutherland Frame Lecture is named in honor of the ninth President of Pi Mu Epsilon, who served from 1957 to 1966 and passed away on February 27, 1997. In 1952, Sud Frame initiated the student paper sessions at the annual Pi Mu Epsilon meeting, which is held at the Summer MathFests. He continually offered insight and inspiration to student mathematicians at these summer meetings. 4 1:00 - 1:50 PM Thursday July 31, 2008 Ballroom A MAA Lecture for Students SUDOKU:QUESTIONS,VARIATIONS AND RESEARCH Laura Taalman James Madison University Sudoku puzzles and their variants are linked to many mathematical problems involving combi- natorics, Latin squares, magic squares, polyominos, symmetries, computer algorithms, the rook problem, graph colorings, and permutation groups theory. In this talk we will explore variations of Sudoku and the many open problems and new results in this new field of recreational mathematics. Many of the problems we will discuss are suitable for undergraduate research projects. Puzzle handouts will be available for all to enjoy! 5 MAA Student Speakers Name School MAA Session Matt Alexander Youngstown State University 2 Elijah Allen Armstrong Atlantic State University 11 Candace Andrews University of Texas at Tyler 18 Elizabeth Arango Montclair State University 11 Dylan Asmar United States Air Force Academy 17 Marius Balla Gainesville State College 17 Emily Bargar University of Chicago 9 Nicole Beauchamp Eastern Connecticut State University 12 Kristin Bertram Winona State University 10 Ariel Binder Williams College 3 Robert James Booth Rowan University 5 Sarah Boyenger Salem College 16 James Brantner Erskine College 13 Greg Brockman Harvard University 6 Kristopher Bunker Michigan Technological University 17 Albert Bush Southern Polytechnic State University 6 Gabriel Caceres Augustana College 5 Hunan Chaudhry Benedictine University 14 Leslie Cheteyan Montclair State University 8 Ashley Ciesla Montclair State University 8 Evan Cobb Saint Louis University 13 James Andrew Costa UC Berkeley 14 William Davis University of Illinois at Urbana-Champaign 1 Matthew Glenn Dawson Union University 4 Hansheng Diao Massachusetts Institute of Technology 5 Daniel DiPasquale Fordham University 7 Chu Yue (Stella) Dong Polytechnic University 1 Geoffrey Ehrman University of Akron 1 Katie Evans St. Olaf College 6 Andrew Fabian Rowan University 16 Zhou Fan Harvard College 1 Leah Fehr Bethany Lutheran College 3 Richard Andrew Fields Saint Louis University 13 Ernesto Garcia University of Texas at Arlington 17 Joshua Garland Mesa State College 4 Samantha Goeben St. Norbert College 2 Thomas Grimes Augustana College 4 Zhishan Guo Saint John’s University 10 Deena Hannoun James Madison University 3 Jodi Haponski Clarion University of Pennsylvania 13 Vivian Healey University of Notre Dame 9 6 MAA Student Speakers (Continued) Name School MAA Session Taylor Hines Arizona State University 6 Katrina Housholder Simpson College 10 Rachel Hudson Williams College 14 Rachel Hunter Cornell University 9 Andrew Johnson Mount Union College 4 Jared Drew Johnson Brigham Young University 16 Amol Kapila Brown University 8 Ed Karasiewicz Lafayette College 18 Matthew Kassel Michigan Technological University 17 Matthew Holland Katz Juniata College 9 Bill Kay University of South Carolina 9 Laura Kazanjian Emmanuel College 8 Patrick Kelley Lafayette College 18 Colin Klaus Vanderbilt University 3 Scott Duke Kominers Harvard University 18 Karol Koziol New York University 18 Joshua Langford University of Texas at Tyler 18 Brian Leary Carnegie Mellon University 3 Sherrita Lynnae Lee Alabama State University 3 Jessica Lin New York University 1 Tova Lindberg Bethany Lutheran College 7 Michelle Lingscheit Simpson College 13 Carolina Veronica Liskey University of Texas at Arlington 17 Jamie Long Moravian College 1 Antonio Lopez University of Texas at Arlington 15 Mark Christopher Lucas Roanoke College 1 Clara Ellen Madsen College of Idaho 16 Emily Marshall Dartmouth College 15 Katie Leigh McCarthy Mount Union College 2 Tom McCollum Michigan State University 6 Daniel Moeller University of Notre Dame 17 Josh Mollner University of Notre Dame 18 David Montague University of Michigan 15 Ralph Morrison Williams College 14 Haggai M. Nuchi Carleton College 5 Chad Onstot Simpson College 10 Joshua O’Rourke Reed College 3 Chanda-Louise Oton CUNY Hunter College 13 Gabrielle Paoletti Canisius College 9 Geoff Patterson Grand Valley State University 15 Yisha Peng Zhejiang University 12 Megan Placko Winona State University 11 7 MAA Student Speakers
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  • Automatically Extraction and Reconstruction of Cupola Geometries of Orthodox Churches from Precision Point Clouds

    Automatically Extraction and Reconstruction of Cupola Geometries of Orthodox Churches from Precision Point Clouds

    37. Wissenschaftlich-Technische Jahrestagung der DGPF in Würzburg – Publikationen der DGPF, Band 26, 2017 Automatically Extraction and Reconstruction of Cupola Geometries of Orthodox Churches from Precision Point Clouds MARIA CHIZHOVA1, ANDREY GURIANOV2, DMITRII KOROVIN3, ANSGAR BRUNN4 & UWE STILLA5 Abstract: Complex geometry extraction from point clouds is an actual problem in reverse engineering. Simple geometrical models (like parallelepipeds, prisms, pyramids, cones, spheres) were already applied in construction and machine-building modeling, but are not sufficient for high quality BIM now. This work, which is carried out in the context of virtual reconstruction of destroyed orthodox churches, presents a robust and efficient method of cupola (domes) and tambour geometry extraction from precise point clouds. The rich diversity of architectural forms, which are defined by many parameters, does not allow to consider this problem as a trivial duty, because usual geometry extraction methods fail for these object types. The new developed algorithm is presented and realized. 1 Introduction 1.1 Motivation Ancient cultural and science developments, accumulations of practical human experience, led to fantastic achievements in industrial and civil constructions. These achievements are reflected in various architectural forms, construction materials, and technologies. Simple geometrical models (like parallelepipeds, prisms, pyramids, cones, spheres) were already applied in construction and machine-building modeling. However, such geometrical forms are insufficient for modern industry requirements, which arises the need for more difficult mathematical models, and, therefore, the identification relations between the parameters of the geometrical models and the projected constructions. This work is carried out in the context of actual research in the virtual reconstruction of destroyed orthodox churches, in which the cupola (dome) geometry extraction plays an important role.