Phong normal interpolation revisited
ACM Transactions on Graphics (TOG)
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
The SPHERIGON: A Simple Polygon Patch for Smoothing Quickly Your Polygonal Meshes
CA '98 Proceedings of the Computer Animation
An Algorithm for Polygon Subdivision Based on Vertex Normals
CGI '97 Proceedings of the 1997 Conference on Computer Graphics International
Approximate continuity for parametric Bézier patches
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Automatic rigging and animation of 3D characters
ACM SIGGRAPH 2007 papers
Parametric triangular Bézier surface interpolation with approximate continuity
Proceedings of the 2008 ACM symposium on Solid and physical modeling
PNG1 triangles for tangent plane continuous surfaces on the GPU
GI '08 Proceedings of graphics interface 2008
ACM SIGGRAPH Asia 2008 papers
Simple local interpolation of surfaces using normal vectors
Computer Aided Geometric Design
Haptic manipulation of rational parametric planar cubics using shape constraints
Proceedings of the 2010 ACM Symposium on Applied Computing
A modified nielson's side-vertex triangular mesh interpolation scheme
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
G1 rational blend interpolatory schemes: A comparative study
Graphical Models
Discretization and fitting of nominal data for autonomous robots
Expert Systems with Applications: An International Journal
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Parametric curved shape surface schemes interpolating vertices and normals of a given triangular mesh with arbitrary topology are widely used in computer graphics for gaming and real-time rendering due to their ability to effectively represent any surface of arbitrary genus. In this context, continuous curved shape surface schemes using only the information related to the triangle corresponding to the patch under construction, emerged as attractive solutions responding to the requirements of resource-limited hardware environments. In this paper we provide a unifying comparison of the local parametric C^0 curved shape schemes we are aware of, based on a reformulation of their original constructions in terms of polynomial Bezier triangles. With this reformulation we find a geometric interpretation of all the schemes that allows us to analyse their strengths and shortcomings from a geometrical point of view. Further, we compare the four schemes with respect to their computational costs, their reproduction capabilities of analytic surfaces and their response to different surface interrogation methods on arbitrary triangle meshes with a low triangle count that actually occur in their real-world use.