Essays about: "Bézier surfaces"

Found 3 essays containing the words Bézier surfaces.

1. 1. Strain Energy of Bézier Surfaces

   University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

   Author : Erik Bråmå; [2018]
   Keywords : Surface geometry; Bézier curves; Bézier surfaces;

   Abstract : Bézier curves and surfaces are used to great success in computer-aided design and finite element modelling, among other things, due to their tendency of being mathematically convenient to use. This thesis explores the different properties that make Bézier surfaces the strong tool that it is. READ MORE

3. 2. Ray Tracing Non-Polygonal Objects: Implementation and Performance Analysis using Embree

   University essay from Mälardalens högskola/Akademin för innovation, design och teknik

   Author : Michael Carlie; [2016]
   Keywords : ray tracing; NURBS; bezier; implicit surface; non-polygonal; computer graphics; graphics; embree;

   Abstract : Free-form surfaces and implicit surfaces must be tessellated before being rendered with rasterization techniques. However ray tracing provides the means to directly render such objects without the need to first convert into polygonal meshes. READ MORE

4. 3. Ray Tracing Bézier Surfaces on GPU

   University essay from Matematiska institutionen

   Author : Joakim Löw; [2006]
   Keywords : Ray Tracing; Bézier Surface; Newton; Newton s method; Graphics Processor; Graphics processing unit; Graphics Hardware; GPU;

   Abstract : In this report, we show how to implement direct ray tracing of B´ezier surfaces on graphics processing units (GPUs), in particular bicubic rectangular Bézier surfaces and nonparametric cubic Bézier triangles. We use Newton’s method for the rectangular case and show how to use this method to find the ray-surface intersection. READ MORE