Fundamentals of computer aided geometric design

Special issue: Uncertainties in geometric design

In computing, it is a basic fact that, owing to the finiteness in representation, errors occur and they accumulate. In geometric computing, the 'logic' for performing set operations is not necessarily the classical binary one. How, then, does one ensure a robust process, if not error-free results? Physically, uncertainty in geometric data manifests itself in metrological studies in the small, a...

CMSC 425 : Lecture 4 Geometry and Geometric Programming Thursday , Feb 9 , 2017

Geometry for Game Programming and Graphics: For the next few lectures, we will discuss some of the basic elements of geometry. There are many areas of computer science that involve computation with geometric entities. This includes not only computer graphics, but also areas like computer-aided design, robotics, computer vision, and geographic information systems. While software systems like Uni...

Fundamentals of next generation CAD/E systems

Corrigendum to Example 4 in "μ-Bases for complex rational curves" [Computer Aided Geometric Design 30 (2013), 623-635]

Article history: Received 2 October 2013 Accepted 16 February 2014 Available online 27 March 2014

Surface compression

DeVore, R.A., B. Jawerth and B.J. Lucier, Surface compression, Computer Aided Geometric Design 9 (1992) 219-239. We propose wavelet decompositions as a technique for compressing the number of a control parameters of surfaces that arise in Computer-Aided Geometric Design. In addition, we give a specific numerical algorithm for surface compression based on wavelet decompositions of surfaces into ...