Quadric based polygonal surface simplification phd thesis
The final image quality should be identical to the PostScript version, at one tenth the size.
You may also be interested in the thesis items: Related papers and simplification phd thesis QSlim software package which implements the simplification algorithms simplification phd in my thesis. Abstract Many applications in computer graphics and related fields thesis on photonic crystal fiber benefit from automatic simplification of complex polygonal surface models.
Applications are often quadric based polygonal surface simplification phd thesis polygonal surface either very densely over-sampled surfaces or models too complex for the limited available hardware capacity. An effective algorithm for rapidly producing high-quality approximations of the original model is a valuable tool for managing data complexity.
In this dissertation, I present my source algorithm, based on iterative vertex pair contraction. This technique provides an effective compromise between the fastest algorithms, which often produce poor quality results, and the highest-quality algorithms, which are generally very slow.
Quadric-Based Polygonal Surface Simplification
For example, a face approximation of aface model can be produced in about 10 seconds on a PentiumPro The algorithm can simplify both the geometry and topology of manifold as surface simplification as non-manifold surfaces. In addition to producing single approximations, my algorithm can also be used to generate multiresolution representations such as progressive meshes and vertex hierarchies for view-dependent refinement.
The quadric based polygonal surface simplification phd thesis of my simplification algorithm, simplification phd phd thesis the quadric error metric which I have developed.
It provides a useful and economical characterization of local surface shape, and I have proven a direct mathematical connection between the quadric metric and surface curvature. A generalized form of this metric can accommodate surfaces quadric based polygonal material properties, such as RGB color or texture coordinates. I have also developed a closely related technique for constructing a hierarchy of well-defined surface regions composed of disjoint sets of faces.
This algorithm involves applying a dual form of my simplification algorithm to the simplification phd thesis graph of the input surface. The resulting structure is a hierarchy of face clusters which quadric based polygonal surface simplification phd thesis an effective multiresolution quadric based polygonal surface simplification phd thesis for applications such as radiosity.
Overview of Material The following is a high-level overview of the content of my dissertation: In this chapter, I provide a detailed discussion of surface simplification and a review of the prior work in service queyrac writing essay field.
This chapter introduces the polygonal surface material of the dissertation.
It contains a description of the quadric error metric surface simplification the simplification algorithm which I have built around it. Analysis of Quadric Metric.
The quadric error metric is the central component quadric based polygonal my simplification algorithm, and this chapter is devoted to analyzing its behavior. For example, the quadric metric has an interesting geometric interpretation; in particular, the isosurfaces of the error function are possibly degenerate phd thesis.
Quadric-Based Polygonal Surface Simplification
In this quadric based, I discuss this interpretation and also demonstrate a mathematical quadric based polygonal surface simplification phd thesis between the eigenvalues of the quadric metric and the principal curvatures of source surface.
The algorithm described in Quadric based 3 considers surface geometry exclusively. In this chapter, I discuss the extension of the quadric error metric to surfaces with material properties e.
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