Part 1 - Computer Science

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Model Examples (continued)Rendered Teapotsgenerated using OpenGLCourtesy of Silicon Graphics
Brief Historical Overview• Renaissance naval architects in Italy used conic sections for drafting.• <strong>Computer</strong> development spurs advances, starting in 1950’s• Computational progress is accompanied by mathematical foundation.• 1950’s: <strong>Computer</strong>-aided design (CAD) and manufacturing (CAM) begins.• Numerically controlled (NC) machinery (e.g. cutting)• 1960’s: parametric curves begin replacing “French curves.”• 1970’s:• bicubic patches, piecewise curves and surfaces• solid modeling: boundary representation (b-rep) and constructive solid geometry• 1980’s:• nonuniform rational B-splines(NURBS) take root• mesh generation evolves, motivated by fields such as engineering and computergraphics• computational geometry becomes a discipline devoted to design and analysis ofgeometric algorithms• 1990’s and beyond: increased computational power fuels further evolution• tremendous progress in computer graphics (e.g. sophisticated rendering)• meshing with large number of verticesSource: Mortenson & Farin & others
Page 1 and 2: UMass Lowell Computer Science91.580
Page 3 and 4: Geometric Modeling: 91.580.201Thurs
Page 5 and 6: Geometric Model ExamplesCourtesy of
Page 7: Model Examples (continued)Unstructu
Page 11 and 12: Web Pagehttp://www.cs.uml.edu/~kdan
Page 13 and 14: Course Structure: 2 PartsFundamenta
Page 15 and 16: Computing Environments OpenGL C++ g
Page 17 and 18: Syllabus (current plan)*
Page 19 and 20: Grading• No exams• Homework 40%

Part 1 - Computer Science

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