Multivariate Regression with Emphasis on Multivariate Spline Methods
Abstract
The notion of vertex splines in introduced to generalize the univariate spline theory with arbitrary knot sequence to higher dimensions. These are in fact Hermite elements and to facilitate the construction process, the notion of super splines is also introduced. The advantages include efficiency in computing a locally supported basis, guaranteeing the full order of approximation, and various applications to finite element methods, computer- aided geometric design, data analysis, etc. In general, computational schemes are studied and constructed, and interpolation as well as quasi-interpolation problems and solved. Shape-preserved approximation and interpolation by bivariate splines is also studied. Development of general multivariate spline theory including the dimension and basis problems is also a portion of this subject. On the other hand, applications to engineering problems are included in our study.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 12, 1988
- Accession Number
- ADA197793
Entities
People
- Charles K. Chui
Organizations
- Texas A&M University