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<li class="breadcrumb-nav-list-item"><a href="/pathtracer/">A3: Pathtracer</a></li> <li class="breadcrumb-nav-list-item"><a href="/pathtracer/intersecting_objects">(Task 2) Intersections</a></li> <li class="breadcrumb-nav-list-item"><span>Ray Triangle Intersection</span></li> </ol> </nav> <div id="main-content" class="main-content" role="main"> <h1 id="ray-triangle-intersection"> <a href="#ray-triangle-intersection" class="anchor-heading" aria-labelledby="ray-triangle-intersection"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Ray Triangle Intersection </h1> <p>We recommend that you implement the <em>Moller-Trumbore algorithm</em>, a fast algorithm that takes advantage of a barycentric coordinates parameterization of the intersection point, for ray-triangle intersection.</p> <center><img src="triangle_intersect_diagram.png" style="height:320px" /></center> <center><img src="triangle_intersect_eqns.png" style="height:400px" /></center> <p>A few final notes and thoughts:</p> <p>If the denominator <em>dot((e1 x d), e2)</em> is zero, what does that mean about the relationship of the ray and the triangle? Can a triangle with this area be hit by a ray? Given <em>u</em> and <em>v</em>, how do you know if the ray hits the triangle? Don’t forget that the intersection point on the ray should be within the ray’s <code class="language-plaintext highlighter-rouge">time_bound</code>.</p> </div> </div> <div class="search-overlay"></div> </div> </body> </html>