• Medientyp: Sonstige Veröffentlichung; Dissertation; Elektronische Hochschulschrift; E-Book
  • Titel: Geometric Shape Abstraction and Simplification
  • Beteiligte: Kratt, Julian [Verfasser:in]
  • Erschienen: KOPS - The Institutional Repository of the University of Konstanz, 2018
  • Sprache: Englisch
  • Schlagwörter: cracking model ; cambial growth simulation ; Billboard clouds ; simplification ; perceptual based abstraction ; geometric abstraction ; Gestalt principles ; bark modeling ; tree models
  • Entstehung:
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  • Beschreibung: In this thesis we present new insights into the research area of abstraction and simplification of geometric shapes, and to the field of simulation of botanical processes. Abstracting and simplifying 3D shapes is one of the fundamental problems in shape processing research. Many application areas, including architecture, urban modeling, gaming, and movies, require shapes in a reduced form. In the first part of this thesis we introduce three novel approaches, each addressing specific issues in the problem domain of abstraction and simplification of shapes. A new method for the automatic simplification of botanical tree models is presented based on adaptive Billboard Clouds. An iterative optimization is applied to the tree structure to evaluate which geometric parts of the tree are substituted by Billboards. The entire process is guided by a newly developed quality measure that accounts for intrinsic properties of the tree. We evaluate our method by measuring the visual difference between full polygonal tree models and their simplifications. Inspired by non-photorealistic rending methods, we further introduce a novel paradigm for the abstraction of 3D shapes. The idea is to analyze a shape in a semi-automatic way with regard to symmetries and regular patterns to determine important structures. By using this information, the original geometry of a shape is replaced by a number of pre-defined and parameterized geometric fill patterns, which are derived from an initial user study. This allows us to produce abstractions in which the expressiveness of a shape is directly manifested in its geometry, rather than only in its rendering. Another novel method for the abstraction of 3D shapes presented in this thesis allows users to easily convey abstractions with only a few simple strokes. For this we propose, a new user interface that combines perceptual rules defined by Gestalt principles with sketches that capture the user's intent. In particular, we extend the formulation of 2D Gestalt grouping principles to 3D elements. ...
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