Geometric Photo Manipulation - Introduction | Mathematical Association of America

Tom Farmer

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Geometric Photo Manipulation - Introduction | Mathematical Association of America

机译：几何照片处理-简介|美国数学协会

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I present here a way that students of calculus and linear algebra can use both artistic and mathematical abilities to transform ordinary photographs into interesting pictures having mathematical content. As a quick illustration, Figure 1 shows copies of an input photo tracing the path of a helix and viewed as if they were pasted onto an invisible cylinder. Similarly, almost any three dimensional object that you can imagine -- if you can describe it by mathematical formulas -- might be "colored" using a given photo. This idea is timely, not only because computer graphics is a rapid growth area that is notable for its uses of mathematics, but also because we now have easy access to digital photographic images via digital cameras and scanners.

机译：我在这里介绍一种方法，使微积分和线性代数的学生可以利用艺术和数学能力将普通照片转换为具有数学内容的有趣图片。作为快速说明，图1显示了输入照片的副本，该副本描绘了螺旋的路径，并且看起来像是将它们粘贴到不可见的圆柱体上一样。同样，几乎可以想象到的任何三维对象（如果可以用数学公式描述）都可以使用给定的照片“着色”。这个想法是及时的，不仅因为计算机图形学是一个快速增长的领域，以其在数学上的应用而著称，而且还因为我们现在可以轻松地通过数码相机和扫描仪访问数字摄影图像。

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《Journal of online mathematics and its applications》 |2002年第2002期|共页
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Tom Farmer;
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7. Evidence-based guidelines for cardiovascular disease prevention in women 11The American Heart Association makes every effort to avoid any actual or potential conflicts of interest that may arise as a result of an outside relationship or a personal, professional, or business interest of a member of the writing panel. Specifically, all members of the writing group are required to complete and submit a Disclosure Questionnaire showing all such relationships that might be perceived as real or potential conflicts of interest.This statement was approved by the American Heart Association Science Advisory and Coordinating Committee and by the American College of Cardiology Foundation in December 2003. This document is available on the World Wide Web sites of the American College of Cardiology (http://www.acc.org) and the American Heart Association (http://www.americanheart.org). A single reprint is available by calling 800-242-8721 (US only) or writing the American Heart Association, Public Information, 7272 Greenville Ave, Dallas, TX 75231-4596. Ask for reprint No. 71–0276. To purchase additional reprints: up to 999 copies, call 800-611-6083 (US only) or fax 413-665-2671; 1000 or more copies, call 410-528-4121, fax 410-528-4264, or e-mail kgray@lww.com. To make photocopies for personal or educational use, call the Copyright Clearance Center, 978-750-8400.(J Am Coll Cardiol 2004;43:900–21)The online-only Data Supplement is available athttp://www.acc.org. [O] . Mosca Lori, Appel Lawrence J, Benjamin Emelia J, 2004

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Geometric Photo Manipulation - Introduction | Mathematical Association of America

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