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$Assignment 2: Math Review$

Bumps vs. Displacements Bumps do not cast shadows or change the silhouette, they do produce specular effects Displacements actually change the geometry Displacement maps only look good on high resolution models Bottom line: bumps are cheaper, displacements look better 15 15 Shadow Maps Key insight: If we render the scene from the point of view of the light source, the lit surfaces will be visible and the unlit surfaces will by hidden We render the scene from the point of view of the light source Store the z values in a “depth shadow map” 16 16
Shadow Maps For each polygon Render the polygon from the camera Render the polygon from the light Compare the z value from the light with the one in the depth shadow map If they match, the polygon is lit Otherwise it is in shadow 17 17 Environment Maps Fake reflections Assumes the environment is very far away Depends on the location of the camera Usually stored in a spherical table or a cube map 18 18
Page 1 and 2: CS-184: Computer Graphics Lecture #
Page 3 and 4: Barycentric Coordinates X can be ex
Page 5 and 6: Undoing Homogenization We know We a
Page 7: Bump Mapping The idea is to perturb
Page 11 and 12: Alpha Channels Alpha channel stores

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