Splines

Spline Curves

• Succesive linear blends
• Basis polynomials
• Recursive evaluation
• Properties
• Joining segments

Tensor-product-patch Spline Surfaces

• Tensor product patches
• Evaluation
• Properties
• Joining patches

Triangular-patch Spline Surfaces

• Coordinate frames and barycentric frames
• Triangular patches

Discontinuities:

• Basis polynomials
• Multiple segments
• Basis splines

Continuities:

• Combining basis splines for smoothness
• Curves with basis splines

B-Splines:

• General segmentation and smoothness
• Knots and evaluation

 
• Constructing Curve Segments
• Bernstein Basis Functions
• Bézier Splines
• Tensor Product Patches
• Barycentric Coordinates
• Triangular Patches
• Discontinuities in Splines
• Spline Continuity
• B-Splines