Local Lagrange Interpolations Using Bivariate <svg style="vertical-align:-0.306pt;width:24.0875px;" id="M1" height="21.225" version="1.1" viewBox="0 0 24.0875 21.225" width="24.0875" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.022,-0,0,-.022,.062,20.788)"><path id="x1D436" d="M682 629q-1 -16 -1.5 -72t-2.5 -86l-31 -4q-5 92 -51 129t-139 37q-100 0 -177 -49t-116 -125t-39 -162q0 -122 66 -201t182 -79q83 0 137 42.5t112 128.5l26 -15q-12 -31 -42.5 -88t-45.5 -75q-139 -27 -199 -27q-148 0 -243 81.5t-95 226.5q0 173 129.5 274.5
t325.5 101.5q114 0 204 -38z" /></g><g transform="matrix(.016,-0,0,-.016,15.862,10.025)"><path id="x32" d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" /></g></svg> Splines of Degree Seven on Triangulated Quadrangulations

<table>The Lagrange MDS produced by Theorem <a href="https://static.hindawi.com/articles/jmath/volume-2013/638254/figures/#thm7">8</a>.</table>

Journal of Mathematics

fig7

Figure 7

Figure 7: Local Lagrange Interpolations Using Bivariate <svg style="vertical-align:-0.306pt;width:24.0875px;" id="M1" height="21.225" version="1.1" viewBox="0 0 24.0875 21.225" width="24.0875" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.022,-0,0,-.022,.062,20.788)"><path id="x1D436" d="M682 629q-1 -16 -1.5 -72t-2.5 -86l-31 -4q-5 92 -51 129t-139 37q-100 0 -177 -49t-116 -125t-39 -162q0 -122 66 -201t182 -79q83 0 137 42.5t112 128.5l26 -15q-12 -31 -42.5 -88t-45.5 -75q-139 -27 -199 -27q-148 0 -243 81.5t-95 226.5q0 173 129.5 274.5
t325.5 101.5q114 0 204 -38z" /></g><g transform="matrix(.016,-0,0,-.016,15.862,10.025)"><path id="x32" d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" /></g></svg> Splines of Degree Seven on Triangulated Quadrangulations 

Journal of Mathematics

Local Lagrange Interpolations Using Bivariate Splines of Degree Seven on Triangulated Quadrangulations

Figure 7