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T-Splines and Isogeometric Analysis Michael A. Scott University of Texas at Austin T-Splines, Inc.
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Page 1: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

T-Splines and Isogeometric Analysis

Michael A. Scott University of Texas at Austin

T-Splines, Inc.

Page 2: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Rectangular Not watertight Trimmed

NURBS

Page 3: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

NURBSRectangular Not watertight Trimmed

Page 4: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

NURBSRectangular Not watertight Trimmed

Page 5: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

NURBSRectangular Not watertight Trimmed

Page 6: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-Splines

Model by Tibor Toth

Page 7: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-Splines

NURBS T-Splines

Non-rectangular Local control Analysis Suitable

Page 8: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-SplinesNon-rectangular Local control Analysis Suitable

Page 9: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-SplinesNon-rectangular Local control Analysis Suitable

Page 10: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Compatibility

“The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

Dr. Rich Riesenfeld, NURBS inventor, University of Utah

Page 11: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Compatibility

NURBST-Splines

Page 12: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-Splines for Rhino

Page 13: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-Spline Trimming Curve Conversion

Page 14: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 15: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 16: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Trimmed NURBS Untrimmed T-Spline

Page 17: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 18: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Error

Page 19: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Error

Page 20: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 21: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 22: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 23: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 24: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

Page 25: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-Splines and Isogeometric Analysis

Page 26: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-Splines and Isogeometric Analysis

Page 27: T-Splines and Isogeometric Analysis · “The T-Spline technology addresses some important limitations in conventional NURBS surfaces and is forward and backward compatible with NURBS.”

NAFEMS 2020 Vision of Engineering Analysis and Simulation

T-Splines and Isogeometric Analysis


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