This thesis addresses the problems of tracking and texturing liquid surfaces in computer graphics fluid simulations.
Subdivision surfaces in computer graphics use subdivision rules to refine a surface to any given level of precision.
Currently, NonUniform Rational B-Spline (NURBS) curves and surfaces are the standard for curve and surface description in computer graphics.
NonUniform Rational B-Splines (NURBS) are the standard for describing and modeling curves and surfaces in computer-aided design and computer graphics.
There are several ways to represent, to handle and to display curved surfaces in computer-aided geometric design that involve the use of polynomials.
Examples of surfaces obtained with precision engineering, microengineering and nanotechnology are presented, encompassing surfaces in computers, MEMS, biomedical systems, light and X-ray optics, as well as in chemical systems.
The main roadblock that has limited the usage of subdivision surfaces in computer-aided design (CAD) systems is the lack of quality and precision that a model must achieve for being suitable in the engineering and manufacturing phases of design.
A rational translational surface is a typical modeling surface used in computer-aided design and the architecture industry.
There are many examples of the use of curves derived from surfaces in the computer vision and computer graphics literature, such as the construction of crest lines described by Stylianou and Farin (2004) and the detection of ridges and valleys discussed by Lopez et al.
Many of the typical surface forms used in computer graphics and computer-aided design, such as flat planes and quadric surfaces, cylinders, spheres, ellipsoids of revolution, as well as more complex fully sculptured surfaces, are easily and accurately represented by rational B-spline surfaces.
