![]() ![]() In proceedings of Pacific Graphics 2002, IEEE Computer Society, 204–213. Fast and memory efficient view-dependent trimmed nurbs rendering. The performance exceeds current CPU-based techniques by a factor of up to 1000 and makes real-time visualization of real-world trimmed NURBS and T-Spline models possible on consumer-level graphics cards. Combining this new method with GPU-based tessellation of cubic rational surfaces allows a new rendering algorithm for arbitrary trimmed NURBS and T-Spline surfaces with prescribed error in screen space on the GPU. Furthermore, due to the tremendous amount of triangle data smooth zoom-ins from long shot to close-up are not possible, In this paper we show how the trimming region can be defined by a trim-texture that is dynamically adapted to the required resolution and allows for an efficient trimming of surfaces on the GPU. In contrast to a simple API these methods require tedious preparation of the models before rendering and hinder interactive editing. Therefore, recent approaches perform a pretessellation and use level-of-detail techniques. Due to the irregular mesh data structures required for trimming no algorithms exists that exploit the GPU for tessellation. Outstanding Doctoral Dissertation AwardĪs there is no hardware support neither for rendering trimmed NURBS - the standard surface representation in CAD - nor for T-Spline surfaces the usability of existing rendering APIs like OpenGL, where a run-time tessellation is performed on the CPU, is limited to simple scenes.Electronic Theater Best Student Project.All Conference-Related Electronic Media Publications.Film and Video Show & Electronic Theater Catalogs.Technical Paper Overviews: SIGGRAPH Asia.Keynote Session Overviews: SIGGRAPH Asia.Exhibitor Session Overviews: SIGGRAPH Asia.Educator’s Forum Overviews: SIGGRAPH Asia.Real-Time Live! Overviews: SIGGRAPH Asia.SIGGRAPH Artworks in the Victoria & Albert Museum.Exploring tessellations and the art of Escher is a great way to help. There's actually a lesson at Byrdseed.TV that's specifically about this article. In this lesson, students will study the mathematical concepts of patterns, planes. Give them some Escher exemplars and let your most clever artists go wild: If they see multiple designs, they can create a pattern or otherwise make their tessellation project more complex. ![]() Kids can fill in the face or the wings or the fur or whatever details they’d like. Often, the shape looks like an animal or a person. Once the page is filled with outlines of that tessellating shape, students will begin to decorate. I like to angle the paper so the piece moves diagonally across the page. ![]() Students will now trace that puzzle piece over and over, fitting it into itself.
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