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Ray-triangle intersection. Condition 1: point is on ray. Condition 2: point is on plane. Condition 3: point is on the inside of all three edges. First solve 1&2 (ray–plane intersection) substitute and solve for t:
1 Introduction. Intersection graphs encode the intersection relation between objects in a collection. More precisely, given a collection A of sets, the induced intersection graph has the collection. A as the set of vertices, and two vertices A; B 2 A are adjacent whenever A \ B 6= ;.
Ray tracing (Appel ’68) One of the most popular methods used in 3D computer graphics to render an image. Different from the rasterisation-based approach. Good at simulating specular effects, producing shadows. Also used as a function for other global illumination techniques.
Ray-Triangle Intersection With the above preliminaries, we are now prepared to write down the ray-triangle inter-section formulas. Define a ray by two points R1 and R2 R = s 1R1 +s 2R2, and the triangle by three points P1, P2,andP3 P = u 1P1 +u 2P2 +u 3P3. This situation is illustrated in Figure 4. Tosolvefor(s 1,s
Ray-triangle intersection • Condition 1: point is on ray • Condition 2: point is on plane • Condition 3: point is on the inside of all three edges • First solve 1&2 (ray–plane intersection) – substitute and solve for t: 10
Ray Tracing 1. Basic algorithm. Overview of pbrt. Ray-surface intersection (triangles, ...) Ray Tracing 2. Problem: brute force = |Image| x |Objects|. Acceleration data structures.
