09_curve_surf

09_curve_surf - Curves & Surfaces MIT EECS 6.837, Durand...

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MIT EECS 6.837, Durand and Cutler Curves & Surfaces

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MIT EECS 6.837, Durand and Cutler Schedule • Sunday October 5 th , * 3-5 PM * Review Session for Quiz 1 • Extra Office Hours on Monday • Tuesday October 7 th : Quiz 1: In class 1 hand-written 8.5x11 sheet of notes allowed • Wednesday October 15th: Assignment 4 (Grid Acceleration) due
MIT EECS 6.837, Durand and Cutler Last Time: • Acceleration Data Structures

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MIT EECS 6.837, Durand and Cutler Questions?
MIT EECS 6.837, Durand and Cutler Today •R ev i ew Motivation Limitations of Polygonal Models Phong Normal Interpolation • Curves

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MIT EECS 6.837, Durand and Cutler Limitations of Polygonal Meshes • planar facets • fixed resolution • deformation is difficult • no natural parameterization
MIT EECS 6.837, Durand and Cutler Can We Disguise the Facets?

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MIT EECS 6.837, Durand and Cutler Phong Normal Interpolation • Not Phong Shading from Assignment 3 • Instead of using the normal of the triangle, interpolate an averaged normal at each vertex across the face • Must be renormalized Courtesy of Leonard McMillan. Used with permission.
MIT EECS 6.837, Durand and Cutler 10K facets 1K facets 1K smooth 10K smooth

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MIT EECS 6.837, Durand and Cutler Better, but not always good enough • Still low resolution (missing fine details) • Still have polygonal silhouettes • Intersection depth is planar • Collisions in a simulation • Solid Texturing • ...
Some Non-Polygonal Modeling Tools MIT EECS 6.837, Durand and Cutler Extrusion Spline Surfaces/Patches Surface of Revolution Quadrics and other implicit polynomials

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MIT EECS 6.837, Durand and Cutler Continuity definitions: •C 0 continuous – curve/surface has no breaks/gaps/holes – "watertight" •C 1 continuous – curve/surface derivative is continuous – "looks smooth, no facets" •C 2 continuous – curve/surface 2 nd derivative is continuous – Actually important for shading
MIT EECS 6.837, Durand and Cutler Questions?

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MIT EECS 6.837, Durand and Cutler
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This note was uploaded on 12/14/2011 for the course EECS 6.837 taught by Professor Durand during the Fall '03 term at MIT.

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09_curve_surf - Curves & Surfaces MIT EECS 6.837, Durand...

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