Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
Smoothing surfaces using reflection lines for families of splines
Computer-Aided Design - Special issue on the shape of surfaces
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
A dimensionality paradigm for surface interrogations
Computer Aided Geometric Design
The CAVE: audio visual experience automatic virtual environment
Communications of the ACM
Surround-screen projection-based virtual reality: the design and implementation of the CAVE
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
Texture and reflection in computer generated images
Communications of the ACM
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
The Curvature of Characteristic Curves on Surfaces
IEEE Computer Graphics and Applications
An Algorithm for Polygon Subdivision Based on Vertex Normals
CGI '97 Proceedings of the 1997 Conference on Computer Graphics International
Modeling of Surfaces with Fair Reflection Line Pattern
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
On the angular defect of triangulations and the pointwise approximation of curvatures
Computer Aided Geometric Design
Methods for surface interrogation
VIS '90 Proceedings of the 1st conference on Visualization '90
A Sampling Framework for Accurate Curvature Estimation in Discrete Surfaces
IEEE Transactions on Visualization and Computer Graphics
Curvature estimation scheme for triangle meshes using biquadratic Bézier patches
Computer-Aided Design
Curvature tensor computation by piecewise surface interpolation
Computer-Aided Design
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Geometrical modeling is a crucial aspect of simulations involving manufactured objects and is usually performed using free-form surfaces. However, to simulate the flow through or about a manufactured object or to simulate structural integrity, the free-form surfaces must be tessellated into triangulated surfaces. To concurrently visualize the simulation results and the quality of the surfaces, we present two novel visualization algorithms for triangulated surfaces as opposed to the traditional freeform surfaces. The proposed algorithms are for curvature estimation based on local surface fitting with cubic triangular Bézier patches and for reflection-line computation.