Constrained polynomial degree reduction in the L2-norm equals best weighted Euclidean approximation of Bézier coefficients.
Young Joon AhnByung-Gook LeeYunbeom ParkJaechil YooPublished in: Comput. Aided Geom. Des. (2004)
Keyphrases
- low degree
- lp norm
- tensor product
- randomized approximation
- weight function
- special case
- series expansion
- convex functions
- objective function
- reduction method
- euclidean distance
- linear combination
- approximation error
- euclidean space
- closed form
- smooth functions
- lagrange interpolation
- taylor series expansion
- error bounds
- symmetric matrix
- order statistics
- efficient computation
- continuous functions
- learning algorithm