Spline Surface that Replicates Polynomial Functions at Extraordinary Points ID: 2014-057

A groundbreaking spline surface technology that achieves exact representation of polynomial functions at extraordinary points, enhancing CAD and CAE applications.

Technology Overview

Developed by Thomas W. Sederberg at Brigham Young University, this invention introduces a spline surface capable of replicating polynomial functions precisely at extraordinary points. This technology overcomes the limitations of previous methods that failed to replicate quadratic functions, offering improved convergence rates in isogeometric analysis and enabling the creation of smoother surfaces. The invention not only presents a significant advancement in the field of computer-aided design and engineering but also opens up new possibilities for applications requiring high precision and smoothness in complex geometries.

Key Advantages

• Exact representation of polynomial functions at extraordinary points
• Improved convergence rates in isogeometric analysis
• Capability to create smoother surfaces than previously possible
• Addresses limitations of prior methods that could not replicate quadratic functions

Problems Addressed

• Limitations of previous spline surface methods in accurately representing polynomial functions
• Challenges in achieving high convergence rates in isogeometric analysis
• Difficulty in creating smooth surfaces in CAD and CAE applications

Market Applications

• Enhanced design and engineering tools for CAD and CAE industries
• Advanced modeling capabilities for industries requiring precise and smooth representations of complex geometries
• Potential licensing opportunities with major software companies, including Autodesk

Additional Information

Technology ID: 2014-057
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Date Published: 06 May, 2025