ass="sd">        coordinate system algorithm.</span>

<span class="sd">        Taking an arbitrary vertex as an origin, we compute the basis for the</span>
<span class="sd">        simplex from this origin by subtracting all other vertices from the</span>
<span class="sd">        origin. We then project the point into this coordinate system and</span>
<span class="sd">        determine the linear decomposition coefficients in this coordinate</span>
<span class="sd">        system.  If the coeffs satisfy tha