Reduce verts or drawcalls?

void AudioTextureObject::drawTriLineTexN( Vector<Point2F> &points, const ColorI &color, F32 thickness, U32 uvIndex )
{
   U32 lines = points.size() - 1;
   if(!lines)
      return;

   U32 numLineVerts = 10;  // each line needs 8, but we need 2 per to have linking degenerate tris
   U32 numVerts = lines * numLineVerts; // calculate the number of verts
  
   GFXVertexBufferHandle<GFXVertexPCT> verts( GFX, numVerts, GFXBufferTypeVolatile );

   F32 offset = thickness/2.0f;

   verts.lock();
      
   for(U32 i=0; i < lines; i++){
      F32 x1,x2,y1,y2;
      x1 = points[i].x;
      x2 = points[i+1].x;
      y1 = points[i].y;
      y2 = points[i+1].y;

      F32 xdiff = x2-x1;
      F32 ydiff = y2-y1;

      Point3F vect(xdiff,ydiff,0.0f);   
      vect = mNormalize(vect);    
      Point2F ovect(offset*vect.x,offset*vect.y);

      U32 voff = i*numLineVerts;                  
      verts[0+voff].point.set( x1 - ovect.x*2 + ovect.y, y1 - ovect.y*2 - ovect.x, 0.0f ); // bottom
      verts[1+voff].point.set( x1 - ovect.x*2 - ovect.y, y1 - ovect.y*2 + ovect.x, 0.0f ); // top
      verts[2+voff].point.set( x1 + ovect.y, y1 - ovect.x, 0.0f ); // bottom r
      verts[3+voff].point.set( x1 - ovect.y, y1 + ovect.x, 0.0f ); // top r
      verts[4+voff].point.set( x2 + ovect.y, y2 - ovect.x, 0.0f ); // bottom r
      verts[5+voff].point.set( x2 - ovect.y, y2 + ovect.x, 0.0f ); // top r
      verts[6+voff].point.set( x2 + ovect.x*2 + ovect.y, y2 + ovect.y*2 - ovect.x, 0.0f ); // bottom
      verts[7+voff].point.set( x2 + ovect.x*2 - ovect.y, y2 + ovect.y*2 + ovect.x, 0.0f ); // top      
      verts[8+voff].point.set( verts[7+voff].point ); // eat this vert, degenerate triangle
      verts[9+voff].point.set( verts[7+voff].point ); // eat this vert, degenerate triangle

      // grab uv coords
      U32 uvoffset = uvIndex*8; 
      for(U32 i = 0; i < 8; i++){
         verts[i+voff].texCoord.set(mUVCoords[i+uvoffset].x,mUVCoords[i+uvoffset].y);         
      } 
      verts[8+voff].texCoord.set(verts[7+voff].texCoord.x,verts[7+voff].texCoord.y);  // make sure textures coords are valid
      verts[9+voff].texCoord.set(verts[7+voff].texCoord.x,verts[7+voff].texCoord.y);  // make sure textures coords are valid

      for(U32 i = 0; i < numLineVerts; i++){
         verts[i+voff].color = color;
      }      

      if(i >= 1){
         // fixup this vert
         verts[-1+voff].point.set(verts[0+voff].point);  // eat this vert, degenerate triangle
         verts[-1+voff].texCoord.set(verts[0+voff].texCoord.x,verts[0+voff].texCoord.y);  // make sure textures coords are valid
      }
   }
   
   verts.unlock();

   GFX->setVertexBuffer( verts );   
   GFX->drawPrimitive( GFXTriangleStrip, 0, numVerts-4 );
}