21. HK University Theses Online 1. Ho, Chiuchi ?. Title The use of computer software ingeometry learning. LOCATION, CALL NO. Special Collections, M.Ed.98H. http://sunzi.lib.hku.hk/hkuto/searchSubject.jsp?subj=Geometry Computer assiste

22. Geometry In Action: Graphics approach. geometry for computer graphics. Teaching materials from theITTI Gravigs Project. Mosaic / stained glass graphic effect. http://www.ics.uci.edu/~eppstein/gina/graphics.html

Graphics This area is quite closely connected with computational geometry; for instance ACM TOG often publishes computational geometry papers. Geometric research topics in graphics include data structures for ray tracing, clipping, and radiosity; hidden surface elimination algorithms; automatic simplification for distant objects; morphing; clustering for color quantization; converting triangulated surfaces to strips of triangles (some graphics engines take inputs in this form to save bandwidth); and construction of low-discrepancy point sets (for oversampling to eliminate Moire effects in ray tracing). Specialized applications of graphics in which other geometric ideas are needed include architecture virtual reality , and video game programming . This area is also related to mesh generation in several ways: both fields use triangulation algorithms to partition complex surfaces into simpler pieces, and radiosity calculations in graphics are essentially a special case of the finite element method. ACM Special Interest Group on Graphics (SIGGRAPH) ACM Transactions on Graphics Annotated bibliography on object representation schemes for 3d graphics , H.-G. Park, Air Force Inst. Tech.

23. Geometry In Action: CAM An geometry problem arising in a special case of manufacturing concerns forming usesmedial axes to produce carved lettering by a computer controlled router. http://www.ics.uci.edu/~eppstein/gina/cam.html

Computer Aided Manufacturing Computer aided manufacturing concerns the use of algorithms for planning and controlling fabrication processes. These algorithms are also important to computer aided design , since it is important to be able to test manufacturability as part of the design process. Specific areas of computer aided manufacturing listed as separate topics here include assembly planning grasping and fixturing metrology robot motion planning , and textile layout Chee Yap's report from the NSF Workshop on Manufacturing and Computational Geometry , held April 1994 at NYU. Die-open direction . Dave Wuerger discusses algorithms for a geometric problem in "the design of dies for near-net-shape manufacturing processes". See also follow-on work by Georg Kurth Efficient geometric algorithms for workpiece orientation in 4- and 5-axis NC-machining , Prosenjit Gupta, Ravi Janardan, Jayanth Majhi, and Tony Woo, 5th MSI Worksh. Comp. Geom. Fixturing and setup planning . From a paper on automated manufacturability analysis at U. Maryland, the contents page of which seems to be missing. Ken Goldberg describes a problem of computing (probabilities of) all stable placements of a polyhedron, which he used in modeling part feeder systems.

24. Developing Geometry Concepts Using Computer Programming Environments Developing geometry Concepts Using computer Programming Environments.This activity provides opportunities for creative problem solving http://illuminations.nctm.org/imath/prek2/GeometryConcepts/

Home Pre-K - 2 Across Standards ... Help Developing Geometry Concepts Using Computer Programming Environments This activity provides opportunities for creative problem solving while encouraging young students to estimate length and angle measure. Students are asked to enter a sequence of LOGO commands to help the turtle get to the pond. Children can write their own solutions using LOGO commands and input them into the computer. The turtle will then move and leave a trail or path according to the instructions given. Two possible solutions or paths that students might have produced can be seen. You can 'clear' any path and then create a new path that will get the turtle to the pond. Can You Get the Turtle to the Pond? Directions: You can try out "path 1" or "path 2" by checking the box and pressing "draw". To erase a path, press "clear". To create a new path, adjust the length by using the blue sliders and then press the "forward", "back", or "turn" buttons. In an activity like the one described above, once children have found paths to the pond, they can share their programs with other students. Discussing their programs and the turtle paths with other students helps children reflect on their own method of solving the problem and on the relationships between distance and turtle movement and angle and turtle movement. Teachers can prompt further discussion and investigation with the following questions:

25. Developing Geometry Concepts Using Computer Programming Environments back to Students iMath Investigations page. Developing geometry Concepts UsingComputer Programming Environments Can You Get the Turtle to the Pond? http://illuminations.nctm.org/imath/prek2/GeometryConcepts/student/

Developing Geometry Concepts Using Computer Programming Environments Can You Get the Turtle to the Pond? Directions: You can try out "path 1" or "path 2" by checking the box and pressing "draw". To erase a path, press "clear". To create a new path, adjust the length by using the blue sliders and then press the "forward", "back", or "turn" buttons. click here Questions for Students How far does your turtle travel to get to the pond? Can you find a shorter path to the pond? How long is the shortest path to the pond? References Last updated: November 12, 2002 National Council of Teachers of Mathematics Use of this Web site constitutes acceptance of the The mission of the National Council of Teachers of Mathematics is to provide the vision and leadership necessary to ensure a mathematics education of the highest quality for all students. The NCTM Illuminations Web site is devoted to providing Internet resources to improve the teaching and learning of mathematics in grades pre-K through 12. The views expressed or implied on this Web site, unless otherwise noted, should not be interpreted as official positions of the Council.

26. Home Page Jochen Pfalzgraf University of Salzburg Application of mathematics to computer science, multi-agent systems, artificial neural networks, fuzzy reasoning, genetic algorithms, automated deduction in geometry, and semantical modelling http://www.cosy.sbg.ac.at/~jpfalz/jpfalz.html

Jochen Pfalzgraf Jochen PFALZGRAF, Prof. Dr. Dipl.-Math. Full Professor, Chairman (Department of Computer Science) (University of Salzburg) A-5020 Salzburg Austria phone: + 43 662 8044 6309 fax: + 43 662 8044 611 e-mail: jpfalz@cosy.sbg.ac.at Please Read Me First Women in IT: Summer Studies for Women EMMY NOETHER Outstanding Mathematician ... On General Mathematical Modeling Aspects

27. GD99 Short Course On Applications Of Classical Geometry In Computer-Aided Design GD99 Short Course on Applications of Classical geometry in computerAided Design.Saturday, November 6, 1999. Sheraton Old Town Hotel Albuquerque, New Mexico. http://www.siam.org/meetings/gd99/shrtcrse.htm

GD99 Short Course on Applications of Classical Geometry in Computer-Aided Design Saturday, November 6, 1999 Sheraton Old Town Hotel Albuquerque, New Mexico Organizer Helmut Pottmann Institute of Geometry, Vienna University of Technology, Austria Rationale Recent research has demonstrated the effectiveness of using classical geometric methods for the solution of problems arising in Computer-Aided Design. Because of a poor coverage of classical geometry in most mathematics curricula and the lack of suitable textbooks, the promising results that have been obtained so far have been fully understood only by a rather limited number of experts. On the other hand, the results of geometry driven research have received a lot of interest and are well suited for inclusion in professional systems. Thus it seems a good idea to offer a course that aims at an introduction to central concepts of classical geometry and their applications in CAD. Description Classical geometric methods have been successfully applied to a variety of problems in Computer-Aided Design and Geometric Modeling, such as sweep surface design, animation and robot motion planning, segmentation and surface fitting in reverse engineering and NURBS representations of special functional forms of curves and surfaces (offsets, developable surfaces, blending surfaces,...). The applied classical material is located in a broad area, which includes projective geometry and classical differential geometry in its center and is surrounded by line geometry, sphere geometry, algebraic geometry, kinematical geometry and other geometric disciplines.

28. Machine Learning At UC Santa Cruz Research on decision theory, neural networks, computational biology, computational geometry, theoretical computer science, online learning algorithms, computational learning theory, reinforcement learning. http://www.cse.ucsc.edu/research/ml/

Machine Learning Home Page University of California, Santa Cruz The Machine Learning group at UCSC is dedicated to the discovery and analysis of algorithms for different learning problems. Over the past eight years we have been developing a new family of on-line learning algorithms with qualitatively different behavior than the previously known gradient descent techniques. The major focus of our research is extending this family of algorithms and quantifying the performance differences between these algorithms and existing algorithms in various settings. There is also a large group applying machine learning techniques to computational biology Publications Research by the UCSC Machine Learning group People People associated with UCSC Machine Learning Other ML resources Other machine learning resources on the web. The Aida project A project funded by National Semiconductor Last modified: 20 Nov 1997 maintained by Nigel Duffy / nigeduff@cse.ucsc.edu

29. DGCI'2002 - Discrete Geometry For Computer Imagery DGCI'2002 10th International Conference on Discrete Geometryfor computer Imagery. April 35, 2002 Bordeaux, France. http://www.labri.fr/Recherche/ImageSon/dgci2002/

DGCI'2002 10th International Conference on Discrete Geometry for Computer Imagery April 3-5, 2002 Bordeaux, France Presentation Topics Committees Scientific program Schedule Invited speakers Special journal issues Information for authors Oral/poster presentations List of accepted papers Reviewers only (closed) Registration On-site registration Venue Practical information Accomodation Contacts Artists' corner ... Photos Thanks a lot to all the participants and contributors to DGCI'2002. Some photos taken at the conference are available here . We hope that you enjoyed your stay in Bordeaux. The next DGCI will take place in Naples, Italy, on 19-21 November, 2003. You can follow this link to get further information on this event: go to DGCI'2003 The aim of DGCI conference is to gather researchers on discrete geometry and topology, discrete models, with applications in image analysis and image synthesis. The proceedings of DGCI'2002 are now available on Springer LNCS website , as volume 2301. Sponsored by the International Association for Pattern Recognition, IAPR Last update: mai 31, 2002

30. Chartwell-Yorke Mathematics Software And Books computer algebra mathematics software (Derive 5 and LiveMath), Autograph for plotting, coordinate geometry and single variable statistics, CabriGeometre II dynamic geometry software, Fathom dynamic statistics, MathType equation editor. Based in Bolton, UK. http://www.chartwellyorke.com/

Autograph for Windows - the ultimate graphing, coordinate geometry and single-variable statistics package. Lots of uses at KS3, KS4 and above. lets you dynamically explore Euclidean, transformational and coordinate geometry. Vectors, conics, equations of lines, much more. For Windows or Mac. Strongly recommended for KS3 in particular, but with many uses at KS4 and above. Derive 5 is a powerful computer algebra system for doing symbolic and numeric maths from school to professional level. Great value, compact and really easy to use. Arithmetic, Algebra, 2D and 3D plots, Calculus, Vector, Matrices, Sets, Programming. Wide range of supporting books. Particularly useful at KS4 and above. Fathom Dynamic Statistics software for data handling and statistics, specifically designed for education. Extensive sampling and simulation tools, hypothesis testing and estimation, over 200 data sets, infinite undo and redo, drag and grop data capture from Excel or internet, over 100 built-in functions, dozens of graph types. From the creators of The Geometer's Sketchpad LiveMath MathType 5 lets you create exam papers, tests, and mathematical articles, quickly and perfectly. It's the powerful professional version of the Microsoft Equation Editor for precise control of your print or web-based documents. Helps produce T

31. DGCI'2002 - Discrete Geometry For Computer Imagery DGCI home, 10 th Int. Conf. on Discrete geometry for computer Imagery. WednesdayApril 3. 8h309h00 registration. 9h00-9h30 welcome. Invited lecture. http://www.labri.fr/Recherche/ImageSon/dgci2002/sci-program.html

DGCI home th Int. Conf. on Discrete Geometry for Computer Imagery Wednesday April 3 8h30-9h00: registration 9h00-9h30: welcome Invited lecture Walter G. Kropatsch Abstraction Pyramids on Discrete Representations 10h30-10h50: coffee break S1. Topology XPMaps and Topological Segmentation - a Unified Approach to Finite Topologies in the Plane Curves in Separation Theorems for simplicity 26-surfaces 12h05-14h00: lunch S2. Combinatorial Image Analysis C. J. Gau and T. Yung Kong 4D Minimal Non-Simple Sets Luc Brun and Walter Kropatsch Receptive fields within the Combinatorial Pyramid framework Christophe Lohou and Gilles Bertrand A New 3D 6-Subiteration Thinning Algorithm based on P -simple Points Yuqing Song and Aidong Zhang Monotonic Tree 15h40-16h10: coffee break S3. Morphological Analysis Vincent Agnus, Christian Ronse Topological Reconstruction of Occluded Objects in Video Sequences Jose Crespo, Victor Maojo, José A. Sanandrés, Holger Billhardt and Alberto Muñoz On the Strong Property of Connected Open-Close and Close-Open Filters Pierre Soille Advances in the analysis of topographic features on discrete images Thursday April 4 Invited lecture Alfred M. Bruckstein

32. Engr. Allan S. Hugo's Class Web Pages This page is the entry point for several class web pages of Engr. Allan S. Hugo which includes chemistry, mathematics (algebra, analytic geometry, etc.), chemical engineering, and computer programming. http://www.geocities.com/ahugo_classes/index.html

Engr. Allan S. Hugo's Class Web Pages Subjects: computer programming concepts, general chemistry, computer applications in chemical engineering, college algebra, analytic geometry Kindly sign our guestbook August 21, 2001: Something new at cool stuff! Don't miss it. To view class web pages, please see contents below. For articles, please see EXTRA . For entertainment, kindly visit Cool Stuff Looking for me? Please check my schedules I invite you to take a few moments of your time to reflect on the message coming from our daily motivator . This is a wonderful opportunity to fill up your spirit everyday! Your education is more than just academics. It should be more of values. While you are studying, you should inculcate in yourself the right attitudes and cherish those values. Welcome to Engr. Allan S. Hugo's Class Web Pages Search this Site: W elcome. Thank you for visiting our class web pages. My name is Engr. Allan S. Hugo and I am a member of the faculty of chemical engineering of the University of Saint La Salle What you will find here are the courses related to chemistry, computer programming, chemical engineering and mathematics. You will be able to see class notes, handouts and lectures. You will also have the chance to read online tutorials on computer programming plus some available source codes on C programming.

33. Untitled Professor, Ph.D., Massachusetts Institute of Technology Computational geometry;computeraided geometric design; algorithms and data structures; sculpture. http://www.cs.sunysb.edu/website/people/faculty.html

34. Polyhedra Polyhedra, Art and geometry. Animated polyhedra, pictures, computer graphics, photos, mathematics, background information, links. http://www.asmund.dk/polyhedra/polyhedra.html

George Olshevsky's polychora George W Hart's Pavillion of polyhedra Fr. Magnus Wenninger's home page V. Bulatov's polyhedra collection This homepage is constructed and maintained by Rolf Asmund Please mail me at ra@kampsax.dtu.dk for comments and suggestions D. Eppstein's Geometry Junkyard Gordon's peek into the 4th dimension All the fair dice

35. Personal Marco Pedicini Institute for Applied Calculus, Rome Theoretical computer science, linear logic, geometry of interaction, optimal reductions. http://www.iac.rm.cnr.it/~marco/html

Consiglio Nazionale delle Ricerche ISTITUTO per le APPLICAZIONI del CALCOLO "Mauro Picone" Marco PEDICINI Research Interests: Dynamics of Computational Processes - Linear Logic, Proof Nets and Geometry of Interaction; - Computer Science: Concurrent and Parallel Systems; Quantum Computation FTP-site for Marco Pedicini e-prints. Papers Links and Abstracts Projects Other WWW Experiences: Vincent's Page Jean-Baptiste Joinet Link Hyper Harold Schellinx Laurent , Paris-alien in Marseille Lorenzo Tortora de Falco web site Personal Annotations on www: Mathematics Subject Classification Yahoo Referenced Mathematics Institutes Archivio Gazzetta Ufficiale (Concorsi Laureati) (IAC mirroring del televideo) Archivio Gazzetta Ufficiale Concorsi (Comune di Jesi) (la Repubblica) Reclutamento dal Ministero URST Marco Pedicini: marco@iac.rm.cnr.it

36. Department Of Engineering Mathematics, Geometry And Computer Science http://techmath.uibk.ac.at/

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37. Computer Science Research areas include parallel and distributed computing, evolutionary and neural computing, heuristics for combinatorial optimization, computational spectral theory, vision, computational geometry, and federated information systems, objectoriented systems, contraints, data warehousing and data mining. http://www.cs.cf.ac.uk/

I wish to study and... I am completing my A levels (or their equivalent). I would like to study for my first degree. I am currently registered with Cardiff University and wish to take one or two of the Department's undergraduate modules. I do not have a computer science degree but wish to gain a postgraduate qualification so that I can change to a career in IT. I have relevant professional experience and would now like to study for an advanced Masters degree to further my career. I have a Computer Science related degree and wish to study for a PhD. I am a student studying... BSc Computer Science BSc Joint Honours Computing BSc/BEng/MEng Computer Systems Engineering MSc in Computing ... MSc Information Systems Engineering for a PhD If you are studying just one or two of the Department's modules, go here About our research Overview Current research projects Seminars The Department Welcome Members of staff Jobs Searching this site... For users Web mail Users' personal home pages For your diary... Research seminar MSc visit day University Open Day : Research retreat : Easter recess begins Page generated: 18/03/2003 Welsh language version Cardiff University home

38. The Geometer's Sketchpad® - Geometry Of Computer Graphics The geometry of computer Graphics 1. Proceedings of the 1997 St. Olaf geometry Conference.Nicholas Jackiw. Key Curriculum Press njackiw@keypress.com August 1997. http://www.keypress.com/sketchpad/talks/comp_graphics/

Resources Technical Support JavaSketchpad User Survey ... Site Map Resources Bibliography 101 Project Ideas Sketchpad Links Sketchpad for Cassiopeia ... TI Graphing Calculators JavaSketchpad About JSP JSP Gallery JSP Download Center JSP Developer's Grammar ... JSP Links Instructor Resources Download Instructor's Evaluation Edition Workshop Guide Professional Development Recent Talks Technical Support FAQ Product Updates Tech Support Request Form General Information Product Info How to Order Curriculum Modules Other Key Sites Key Curriculum Press Key College Publishing KCP Technologies Keymath.com The Geometry of Computer Graphics Proceedings of the 1997 St. Olaf Geometry Conference Nicholas Jackiw Key Curriculum Press njackiw@keypress.com August 1997 Abstract The recent field of computer graphics nicely merges many elegant and simple geometric ideas with concerns about function, realism, and aesthetics. In so doing, it provides a stimulating context for exploring many traditional topics of an introductory geometry course. In this paper, which is based on my after-dinner presentation at the St. Olaf conference, I develop a number of problems and activities drawn from the field of computer graphics, and illustrate them with dynamic sketches from The Geometer's Sketchpad. Table of Contents Why Computer Graphics?

39. Singular:Home computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory. http://www.singular.uni-kl.de/

A Computer Algebra System for Polynomial Computations Welcome to S INGULAR November 2002: Release of SINGULAR version 2.0.4 , a minor upgrade from version 2.0.3 (mainly bug fixes) is available for Linux platforms and Mac PPC Darwin August 2002 : Textbook "A S INGULAR Introduction to Commutative Algebra" ... Springer Verlag . The book includes a CD containing a distribution of S INGULAR version 2-0-3 (for Unix/Windows/Mac platforms). S INGULAR is free software under GNU Public Licence . For registered S INGULAR users we offer the following free services e-mail information about updates and news support for installation and computational questions. Register as S INGULAR user Use any of the following links to find out more about S INGULAR Examples Announcements S INGULAR ... Forum S INGULAR is developed by the S INGULAR research group at the Department of Mathematics of the University of Kaiserslautern under the direction of Gert-Martin Greuel Gerhard Pfister , and Comments or suggestions? Send mail to

40. Gabor T. Herman City University of New York Image Reconstruction from Projections, Inverse Problems, Discrete Tomography, Biomedical Imaging, Medical Imaging, geometry of Digital Spaces, computer Graphics, Visualization, computer Vision http://www.cs.gc.cuny.edu/~gherman/

Gabor T. Herman Department of Computer Science The Graduate Center City University of New York 365 Fifth Avenue New York , NY 10016 USA e-mail: gherman@gc.cuny.edu phone: (212) 817-8193 fax: (212) 817-1510 Current Information Books: Basic Methods of Tomography and Inverse Problems , Institute of Physics, 1987 3D Imaging in Medicine , CRC Press, 1991 Mathematical Methods in Tomography , Springer, 1991 Geometry of Digital Spaces Discrete Tomography: Foundations, Algorithms, and Applications 3D Imaging in Medicine, 2nd Edition , CRC Press, 2000 Recent and Current Courses: Reconstruction from Projections , Department of Computer Science, The Graduate Center, City University of New York, Spring 2002 The Geometry of Digital Spaces , Department of Computer Science, The Graduate Center, City University of New York, Fall 2002 Image Processing, Computer Vision and Visualization

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