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$Assignment 2: Math Review$

Undoing Homogenization we add ! a i = 1 ! b i = 1 i i now its solvable and the solution is: h 2 h 3 b 1 a 1 = h 2 h 3 b 1 + h 1 h 3 b 2 + h 1 h 2 b 3 similar formulas exist for and a 2 a 3 11 11 Bump/Displacement Mapping Texture mapping changes a surface’s reflectance, but that can’t give us a realistic orange For this we can use bump or displacement mapping 12 12
Bump Mapping The idea is to perturb the surface normals If the bump map is an array of vectors, just add the bump vectors to the surface normals If the bump map is an array of scalars (desired displacements along the normal direction), then the new normal is n ′ = n + b u (n × P v ) − b v (n × P u ) 13 13 Displacement Mapping Actually perturb the location of the surface, usually along the normal direction, by scalar values given in the displacement map This is usually done by moving the vertices of a polygonal mesh 14 14
Page 1 and 2: CS-184: Computer Graphics Lecture #
Page 3 and 4: Barycentric Coordinates X can be ex
Page 5: Undoing Homogenization We know We a
Page 9 and 10: Shadow Maps For each polygon Render
Page 11 and 12: Alpha Channels Alpha channel stores

CS-184: Computer Graphics Today - Inst.eecs.berkeley.edu ...

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