I am grappling with a challenge that I'm unsure how to approach, hoping someone can offer me a clue on the solution.
My goal is to position the camera at a specific z index so that a cube appears on the screen with consistent pixel dimensions regardless of window size or aspect ratio. The cube itself is located at z position 0, requiring the camera to be positioned facing it from a certain distance.
The desired outcome is for users to always see the cube displayed with the exact same pixel width and height on their screens. To achieve this, I believe the camera's z position should be a calculated function based on window width, height, aspect ratio, and a constant value.
How do I determine A, B, C, and D for this scenario? This seems like a geometric problem, but I'm uncertain about how to tackle it. Should I include a constraint specifying that the object must match exactly 100 pixels wide and 100 pixels high?
var aspectRatio = window.innerWidth / window.innerHeight;
var camera = new PerspectiveCamera( 60.0, aspectRatio, 1.0, 10000.0 );
var A = 1.0;
var B = 1.0;
var C = 1.0;
var D = 1.0;
camera.position.z = A * window.innerWidth + B * window.innerHeight +
(C * aspectRatio) + D;
var geometry = new CubeGeometry( 100.0, 100.0, 0.0001 );
Update: I successfully resolved this issue through trial and error.
I lack comprehension of the geometry and mathematics involved in this problem, yet I discovered that the object's size was linked to the window's height rather than its width. Although I cannot explain why, adjusting the height changed the object's size while adjusting the width had no effect on it.
This observation led me to assume that the height plays a crucial role in determining the function. Through trial and error, I adjusted values until achieving the correct size of 100 by 100 pixels. Subsequently, altering the height confirmed the object remained consistently sized. I am thrilled to have achieved this result.
num A = 0.0;
num B = -0.867;
num C = 0.0;
num D = 0.0;