University of Groningen
Splines for engineers
Barendrecht, Pieter
DOI:
10.33612/diss.102688532
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Publication date: 2019
Link to publication in University of Groningen/UMCG research database
Citation for published version (APA):
Barendrecht, P. (2019). Splines for engineers: with selected applications in numerical methods and computer graphics. Rijksuniversiteit Groningen. https://doi.org/10.33612/diss.102688532
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Propositions accompanying the PhD dissertation
Splines for engineers
by Pieter Barendrecht
1. Although Bézier curves and surfaces form the foundation for many types of splines, they are often too elementary to be used directly.
— Chapter 2 2. Watertight surfaces of arbitrary manifold topology are
indispens-able for modelling as well as spline-based numerical methods. — Chapters 3 and 4 3. The patch test for an element should not be considered failed solely
because of an inefficient quadrature rule.
— Chapter 4 4. Modern OpenGL will, for the foreseeable future, continue to be the
graphics API of choice for a wide range of applications.
— Chapter 5 5. Support from web browsers is crucial for both gradient meshes and
diffusion curves to become commonplace.
— Chapter 6 6. Local refinement is an essential feature for both modelling and
spline-based numerical methods, not merely an optional one. — Chapters 2, 4 and 6 7. More interaction and collaboration among academics, program-mers and artists would greatly benefit the field of computer graph-ics.
8. Any programme in computer science should include a mandatory course on the use, development and licensing of open source soft-ware.
