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<!-- -*- Mode: html-helper -*- --><html> <head><title> Course Description -- Topics in Geometric Modeling </title></head><body><h1>CS284b: Seminar in Computer Science</h1><h2>Topics in Geometric Modeling</h2><b>Instructors:</b> Profs. <!WA0><ahref="http://www.cs.caltech.edu/~arvo/">Arvo</a> and <!WA1><ahref="http://www.cs.caltech.edu/~ps/">Schröder</a><p><b>Location:</b> Tu <tt>3:30-5:00</tt>, Fr <tt>12:30-2:00</tt>, room 121, Beckmann Institute<br><h3>Online Resources</h3><ul> <li><!WA2><a href="http://www.cs.caltech.edu/~ps/TGM/projects/projects.html">Projects</a> <li><!WA3><a href="http://www.cs.caltech.edu/~ps/java/chaikin.html">Java drawing program</a> <li><!WA4><a href="http://www.cs.caltech.edu/~ps/TGM/Java.html">Java Resources</a> <li><!WA5><a href="http://www.cs.caltech.edu/~ps/TGM/Resources.html">Researchers and Papers</a> <li><!WA6><a href="http://www.cs.caltech.edu/~ps/TGM/handouts/handouts.html">Class handouts</a> <li><!WA7><a href="http://www.cs.caltech.edu/~ps/TGM/assignments/assignments.html">Assignments</a> <li><!WA8><a href="http://www.cs.caltech.edu/~ps/TGM/vincent/faq.html">Announcements</a></ul> <h3>Description</h3>This course will explore a number of topics that relate to theconstruction and representation of geometric models on a computer,with the emphasis on three-dimensional surfaces. Rather thanattempting to survey the field of geometric modeling, the purpose ofthe course is to allow students to explore several aspects in depththrough programming and reading recently published articles.<p>The course will begin with a number of lectures aimed at covering thebasics of techniques based on approximating and interpolatingpolynomials. Once the basics are covered we'll move into state of theart algorithms addressing various problems such as<ul> <li>reconstruction of surfaces from unorganized points; <li>mesh decimation; <li>smooth interpolation and approximation for arbitrary topologies; <li>hierarchical, or multi-level, decompositions of geometry; <li>interactive techniques for surface design; <li>meshing for finite element methods.</ul>What we'll actually get to during the quarter will be determined bythe interests of the participants.<p>A possible list of basic topics to be covered includes<ul> <li><b>Spline Curves:</b> Bezier form, B-Spline form, blossoming, polar forms, construction, evaluation, differentiation, knot insertion, subdivision, degree lifting; <li><b>Spline Surfaces:</b> Cross product domains, triangular patches, Bezier form, B-Spline form; <li><b>Subdivision Surfaces based on Splines:</b> Catmull-Clark, Doo-Sabin, Loop, Reif, Peters; <li><b>Interpolating Subdivision Curves:</b> Deslauriers-Dubuc, Donoho, Herley; <li><b>Interpolating Subdivsion Surfaces:</b> Dyn.</ul><h3>Requirements</h3>There will be small programming assignments in the beginning of thecourse to study some of the basic techniques. In the latter part ofthe course Students will be required to summarize and present onerecent research paper related to geometric modeling, and to devise andcomplete a programming project that builds upon any of the techniquescovered in class.<h3>Recommended Background</h3><b>Mathematics:</b> multi-variable calculus, real analysis, linearalgebra.<br><b>Computer Science:</b> solid programming ability in at least one language(Java, C++, C, Matlab, Maple, Fortran, Mathematica). Based on thechosen project some familiarity with advanced data structures, 3Dcomputer graphics algorithms, and interactive techniques may be desirable.<p><hr><b>Copyright © 1995 Jim Arvo and Peter Schröder</b></body></html>⌨️ 快捷键说明
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