light travels in a straight line, why is this important for the technique of ray tracing?

Drawing straight lines that only change direction at mirror and lens surfaces makes solving optics with ray-tracing a lot easier.

Rays of light travel normal to wavefronts. It only takes two rays to determine the location of images, and about ten to evaluate image quality (aberrations). Computers perform these tasks easily, giving lens designers a powerful tool. If one were to design an optics system using wavefronts, the mathematics would be much more complicated, even though the results would be the same, except for small differences due to diffraction.

The fact that light travels in a straight line is critical for the technique of ray tracing because ray tracing is based on the principle that light interacts with objects by bouncing off them or being absorbed. By tracing the path of light rays from the camera's point of view, through the scene, and onto the objects, we can accurately simulate the behavior of light and generate realistic images.

To achieve this, ray tracing employs a process where it sends a primary ray from the camera's position through each pixel on the image plane. These rays travel in a straight line until they hit an object in the scene. Upon hitting an object, the ray can either be reflected, refracted, or absorbed based on the material properties of the object.

By continuously tracing the path of each ray as it interacts with different objects, ray tracing is able to simulate the reflection, refraction, and other optical phenomena accurately. This allows for the simulation of realistic lighting and shadows, giving rendered images a high level of realism.

In summary, the straight-line path of light is important for ray tracing because it enables the accurate simulation of light interaction with objects in a scene, resulting in highly realistic images.

The fact that light travels in a straight line is important for the technique of ray tracing because ray tracing is a rendering technique that simulates the behavior of light in a virtual environment.

In ray tracing, the scene is constructed by simulating the path of individual rays of light as they interact with objects in the virtual world. These rays of light are imagined as straight lines extending from the observer's eye into the scene. Each ray is traced by calculating the intersections with the objects in the scene and determining how the light interacts with those objects, such as reflections or refractions.

The assumption that light travels in a straight line allows ray tracing algorithms to efficiently calculate these intersections and accurately simulate the behavior of light in a virtual environment. Without this assumption, the calculations involved in determining the path of light rays would become much more complex and computationally expensive.

By assuming that light travels in a straight line, ray tracing algorithms can generate realistic images by accurately calculating the interactions of light with objects, including shading, reflections, refractions, and other optical effects. This makes ray tracing a powerful technique for creating lifelike graphics and rendering high-quality images.