Symbolic Computation of the Orthogonal Projection of Rational Curves onto Rational Parameterized Surfaces

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left"> </td><td align="center">RegSer</td><td align="center">SIM</td><td align="center">Simplify</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">EX1</td><td align="center">1</td><td align="center">1</td><td align="center">1</td></tr><tr><td align="left">EX2</td><td align="center">3</td><td align="center">3</td><td align="center">3</td></tr><tr><td align="left">EX3</td><td align="center">4</td><td align="center">2</td><td align="center">2</td></tr><tr><td align="left">EX4</td><td align="center">6</td><td align="center">3</td><td align="center">2</td></tr><tr><td align="left">EX5</td><td align="center">4</td><td align="center">1</td><td align="center">1</td></tr><tr><td align="left">EX6</td><td align="center">8</td><td align="center">2</td><td align="center">2</td></tr><tr><td align="left">EX7</td><td align="center">2</td><td align="center">1</td><td align="center">1</td></tr><tr><td align="left">EX8</td><td align="center">7</td><td align="center">2</td><td align="center">1</td></tr><tr><td align="left">EX9</td><td align="center">2</td><td align="center">1</td><td align="center">1</td></tr><tr><td align="left">EX10</td><td align="center">6</td><td align="center">2</td><td align="center">1</td></tr><tr><td align="left">EX11</td><td align="center">NA</td><td align="center">NA</td><td align="center">NA</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Comparison on simplification methods (number of elements).

Mathematical Problems in Engineering

tab2

Table 2

Table 2: Symbolic Computation of the Orthogonal Projection of Rational Curves onto Rational Parameterized Surfaces 