More GPU Stuff and Curves and Splines Outline • Announcements • Project 2 • GLSL • Hermite Splines • Catmull-Rom Splines • Bezier Curves • Higher Continuity: Natural and B-Splines • Drawing Splines Announcements • Don’t lock the door of the lab! • Don’t paste solutions to the BBoards. • Final Exam: Tues 5/12 from 8:30AM - 11:30AM, room TBA. Outline • Announcements • Project 2 • GLSL • Hermite Splines • Catmull-Rom Splines • Bezier Curves • Higher Continuity: Natural and B-Splines • Drawing Splines Project 2 Get started early!!! Outline • Announcements • Project 2 • GLSL • Hermite Splines • Catmull-Rom Splines • Bezier Curves • Higher Continuity: Natural and B-Splines • Drawing Splines OpenGL Pipeline ! !"#$"%&&%'()*!+,)(+-) ! .)"/)0*,"#1)22#"2 ! 3"%$&)-/*,"#1)22#"2 Simplified OpenGL Pipeline Vertex Data Vertex Rasterization Fragment Operation (Interpolation) Operation Framebuffer More Detail PositionsNormalsColors Eye Positions Position Eye Normals Normal Vertex Rasterization Fragment Colors Color Operation (Interpolation) Operation (Interpolated) Framebuffer Programmability PositionsNormalsColors Eye Positions Position Eye Normals Normal Vertex Rasterization Fragment Colors Color Operation (Interpolation) Operation Programmable (Interpolated) Programmable Framebuffer Variable Types • const - The declaration is of a compile time constant • attribute - Global variables that may change per vertex, that are passed from the OpenGL application to vertex shaders. This qualifier can only be used in vertex shaders. For the shader this is a read-only variable. • varying - used for interpolated data between a vertex shader and a fragment shader. Available for writing in the vertex shader, and read-only in a fragment shader. • uniform - Global variables that may change per primitive (may not be set inside glBegin,/glEnd), that are passed from the OpenGL application to the shaders. This qualifier can be used in both vertex and fragment shaders. For the shaders this is a read-only variable. Attribute Variables PositionsNormalsColorsAttributes Eye Positions Position Eye Normals Normal Vertex Rasterization Fragment Colors Color Operation (Interpolation) Operation Programmable (Interpolated) Programmable Framebuffer Varying Variables PositionsNormalsColorsAttributes Eye Positions Position Eye Normals Normal Vertex Rasterization Fragment Colors (Interpolation) Color Operation Varying Varying Operation Programmable (Interpolated) Programmable Framebuffer Uniform Variables Uniform PositionsNormalsColorsAttributes Eye Positions Position Eye Normals Normal Vertex Rasterization Fragment Colors (Interpolation) Color Operation Varying Varying Operation Programmable (Interpolated) Programmable Framebuffer Why So Fast? 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