Computer Graphics on gerritâ€™s notes
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Recent content in Computer Graphics on gerritâ€™s notesHugo -- gohugo.ioen-usSat, 20 Apr 2019 00:00:00 +0000Ray Tracing in a Weekend Part 4 - Adding a Sphere
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Sat, 20 Apr 2019 00:00:00 +0000/computer-graphics/2019/ray-tracing-in-a-weekend-4/Ray vs. Sphere Part 3 introduced a ray class. Now it’s time to let the ray hit the first object: a sphere.
The equation of a sphere centered at the origin is [1]
\[ x^2 + y^2 + z^2 = R^2 \]
which is essentially derived from Pythagoras’ Theorem extended to three dimensions. [2]
For any \( (x,y,z) \), if \( x^2 + y^2 + z^2 = R^2 \) then \( (x,y,z) \) is on the sphere, otherwise it’s not.Ray Tracing in a Weekend Part 3 - The Ray Class
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Wed, 17 Apr 2019 00:00:00 +0000/computer-graphics/2019/ray-tracing-in-a-weekend-3/The Ray Class In part 2 I added a vec3 class to help with 3-dimensional vector calculations.
This chapter moves it one step further by introducing a new ray class. A ray can be thought of as a function
\[ p(t) = A + t * B \]
where p is a 3D position along a line, A is the ray origin, B is the ray direction, and t is the ray parameter which moves p(t) along the ray.Ray Tracing in a Weekend Part 2 - The vec3 class
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Tue, 16 Apr 2019 00:00:00 +0000/computer-graphics/2019/ray-tracing-in-a-weekend-2/The vec3 class In part 1 I made a simple image by assigning rgb values to individual variables in a loop across the x- and y-coordinates.
This example produces the same image, but introduces the vec3 class used to perform calculations with 3-dimensional vectors and access them as x, y, z-coordinates or r, g, b-color values.
The code below is complete, but feel free to download the complete repo from https://github.Ray Tracing in a Weekend Part 1 - Intro and First Simple Image
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Sun, 14 Apr 2019 00:00:00 +0000/computer-graphics/2019/ray-tracing-in-a-weekend-1/Introduction In the next few posts I’m going to document my journey through Peter Shirley’s book Ray Tracing in a Weekend and its two following volumes Ray Tracing - The Next Week and Ray Tracing - The Rest of Your Life (now available for free). I found the first book on Amazon Kindle quite a long time ago, but then I always had to put it on the backburner because I had to finish other courses first.