Planes and Cylinders: Ray Intersections and Implementations

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Related lectures (27)

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Surfaces in Space

Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.

Surface Integrals: Implicit Surfaces

Covers implicit surfaces, parametric descriptions, regular parametrization, normal vectors, and orientable surfaces.

Surface Normals: Vector Analysis

Explains surface normals for parametric and implicit surfaces, focusing on vector analysis and examples with spheres.

Closed Surfaces and Integrals

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Ray Tracing: Fundamentals

Covers the basics of ray tracing, including ray generation, intersection with geometric shapes, and distance calculations to planes, setting the foundation for implementing a ray tracer.

Surface of Revolution

Explains the parametric equations of surfaces of revolution generated by curves in space.

Geodesics on Surfaces

Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.

Surface Integrals: Regular Parametrization

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Sphere Geometry: Properties and Projections

Explores sphere properties, projections, and symmetry, including apparent contours and missing projections of points.

Conformal Maps and Hyperbolic Geometry

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.