A Combinatorial Property of Geometric Quad Trees and Its Application to Texture Mapping

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概要

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• In this paper we investigate a mathematical property of quad trees from combinatorial point of view. For each n (≧0), we give a one-to-one correspondence between labels and cell numbers of the quad tree of degree n. Furthermore, we apply the result to texture mapping of surfaces in ray tracing by spherical method.

• 東海大学の論文

著者

• Ozaki Katsuhisa

  Waseda University

• Koriyama Akira

  Tokai Univ. Hiratsuka Kanagawa Jpn

• Koriyama Akira

  Department Of Mathematical Sciences Faculty Of Science Tokai University

• MINEZAKI Toshiya

  Tokai University

• Minezaki Toshiya

  Tokai Univ

関連論文

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• Ray Tracing of Parametric Surfaces by The Spherical Method with Fine-Structures
• On Expansive Homeomorphisms on Certain Compact Metric Spaces
• A Combinatorial Property of Geometric Quad Trees and Its Application to Texture Mapping
• Wild Horseshoe and Topological Entropy
• A Simple Algorithm to Generate Swept-Surface-like Tubes and Non Swept-Surface-like Tubes
• Spherical Data and Ray Tracing of Surfaces in n-dimensional Space
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• On Lie algebras of vector fields on expansive sets

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