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dc.contributor.authorKarsch, Kevineng
dc.contributor.authorDuan, Yeeng
dc.contributor.corporatenameUniversity of Missouri-Columbia. Office of Undergraduate Researcheng
dc.contributor.meetingnameUndergraduate Research and Creative Achievements Forum (2007 : University of Missouri--Columbia)eng
dc.date2007eng
dc.date.issued2007eng
dc.descriptionAbstract only availableeng
dc.description.abstractIn modern computer graphics, especially in the field of modeling and animation, polygons are the preferred method used to design three dimensional objects. However, because polygons are made up of vertices and linear edges, they are not inherently smooth. Furthermore, many physical objects cannot be accurately recreated using only flat, concave, or convex polygons. One method to solving this problem uses cubic curves, curves with a degree of three, to define surfaces in three dimensional space. Cubic curves are inherently smooth, and allow for surfaces of any type to be replicated with the utmost authenticity. Using an interactive curve editor, a program to create, edit, and manipulate cubic curves, the results show that defining a curve using cubic curve equations is much easier and efficient to do than with the standard line segment method. I believe the same results would occur if one were to compare creating a surface with curves as opposed to attempting to produce that same surface with polygons. The next step towards expanding this technology and testing the aforementioned hypothesis would be to write a program that will sweep one curve along another curve, thus creating a surface. These surfaces, defined purely by curves, would bring a heightened level of realism into modern computer graphics and would provide an alternative modeling method to the traditional polygonal modeling methods.eng
dc.description.sponsorshipCollege of Engineering Undergraduate Research Optioneng
dc.identifier.urihttp://hdl.handle.net/10355/1677eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbia. Office of Undergraduate Researcheng
dc.relation.ispartof2007 Undergraduate Research and Creative Achievements Forum (MU)eng
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. Office of Undergraduate Research. Undergraduate Research and Creative Achievements Forumeng
dc.source.urihttp://undergradresearch.missouri.edu/forums-conferences/abstracts/abstract-detail.php?abstractid=eng
dc.subjectcomputer graphicseng
dc.subjectcubic curveseng
dc.subjectpolygonal modelingeng
dc.titleInteractive curve modeling: Creating and manipulating three dimensional objects using two dimensional input [abstract]eng
dc.typePresentationeng


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