Architectural geometry, Volume 10

algorithm angle approximation architecture axes B-spline curve B-spline surfaces Bezier curve Bezier surface boundary Chapter circle compute cone congruence transformation congruent connected constant construction control mesh control points control polygon convex coordinate system corresponding cube cusps defined deformation developable surface discrete distance edge midpoints ellipse equation example freeform curves freeform surfaces function Gaussian Gaussian curvature geometric HP surface hyperbolic paraboloid image courtesy interpolation intersection curve linear mapped meridian curves minimal surface NURBS NURBS curves object obtain offset surface orthogonal osculating osculating circle parabola parallel projection parameter parametric representation planar curve Platonic solids polyhedral polyhedron position principal curvature principal curvature lines profile curve quad mesh quadratic quadrics quadrilateral radius refinement roof rotational cylinder rotational surface ruled surface shape shown in Figure smooth spatial straight line segments subdivision surfaces surface normals tangent plane top view torus translational surface triangle mesh vector vertex vertices