From ff82253a66ee51fe2f0c088ca964402d53545845 Mon Sep 17 00:00:00 2001
From: Matthew Kosarek <mattkae@protonmail.com>
Date: Thu, 24 Jun 2021 11:30:36 -0400
Subject: (mkosarek) Rigidbody with rotations
---
2d/_collisions/polygon_polygon.html | 23 ++++++++++++++++++++---
1 file changed, 20 insertions(+), 3 deletions(-)
(limited to '2d/_collisions/polygon_polygon.html')
diff --git a/2d/_collisions/polygon_polygon.html b/2d/_collisions/polygon_polygon.html
index ce26f62..e8fe7ea 100644
--- a/2d/_collisions/polygon_polygon.html
+++ b/2d/_collisions/polygon_polygon.html
@@ -93,18 +93,35 @@
<p>
Given two polygons <b>A</b> and <b>B</b>:
<ol>
- <li>For each edge on A, get the normal <i>n</i> of that edge.</li>
+ <li>For each edge on <b>A</b>, get the normal <i>n</i> of that edge.</li>
<li>Project each vertex <i>v</i> of <b>A</b> onto <i>n</i>. Return the minimum and maximum projection of all vertices.</li>
<li>Repeat Step 2 for polygon <b>B</b>.</li>
<li>If the min and max projections found in Steps 2 and 3 do <b>NOT</b> overlap, the polygons are not intersecting. Return false.</li>
<li>If the projections overlap for each edge of both shapes, the shapes are intersecting. Return true.</li>
</ol>
+
+ And that is all there is to <i>finding</i> the intersection between two convex polygons.
+ </p>
+ </section>
+ <section>
+ <h2>SAT Collision Resolution</h2>
+ <p>
+ Now that we know our objects have intersecting, we want to be able to send them tumbling away from each other to simulate a collision. To do this, we will need to find the following things:
+ <ul>
+ <li><b>Collision Normal</b>: in what direction, point towards object <b>A</b>, did the polygons intersect</li>
+ <li><b>Point of Application</b>: at what point on each object did the objects first intersect</li>
+ <li><b>Relative Velocity</b>: easily found by taking the difference between the two velocities.
+ </ul>
+
+ <h3>Collision Normal</h3>
+ <p>
+
+ </p>
</p>
-
</section>
<section>
<h2>
- Live Example
+ Live Example of Intersection Detection
</h2>
<div class="opengl_canvas_container">
<canvas id="gl_canvas" width="800" height="600"></canvas>
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