Representation of Rotational Sweeps using Quadratic Surfaces and Toruses

スポンサーリンク

概要

• 論文の詳細を見る

• Flexible modeling of arbitrary solid objects is one of the most important problems of computer graphics. This paper presents a new efficient method of modeling rotational sweeps which are curved objects defined by rotating a given curve around an arbitrary axis. Glasses or bottles are common examples of rotational sweeps. Since the rotational sweep is one of the most natural object forms produced by using a lathe, its efficient modeling is especially important for industrial applications. It is popular to approximate the 3D surface with many small planes (patches). However, optical phenomena like reflection and refraction are not correctly computed by using patches even if smooth shading is employed. Consequently, it becomes important to approximate the objects with lower order curved surfaces for fast calculation, making use of the fact that they are rotational sweeps. Kajiya proposed a method for this purpose based on spline approximation and strip tree algorithm. However, his algorithm is recursive, and computational cost is very high. Wjik reduced the problem to solve the equation of 6th order in non-recursive form. Though his method is more efficient than Kajiya's method, it takes still very long time for numerical computation. Horiuchi et. al. approximated the given free curve with a series of straight lines, and applied smooth shading to a series of local cones which are formed by rotating the straight lines around the axis. This method is based on solving the quadratic equation to detect the ray object intersection. However, in their method, unnatural phenomena occur at the jointing portions of cones, which is essentially the same problem as approximating the surface with many patches. No reports have been published on truly ideal methods which satisfy both of computational cost and synthesized image quality conditions. This paper presents a new efficient method of modeling objects which assures the both conditions stated above. In the proposed method, the object surface is approximated by many quadratic surfaces with preserving the tangent continuity at their jointing portions.

• 一般社団法人情報処理学会の論文
• 1989-03-15

著者

• 末永 康仁

  Ntt

• 橋本 秋彦

  NTT電気通信研究所

• 末永 康仁

  Ntt Human Interface Laboratories Nippon Telegraph And Telephone Corporation

• 橋本 秋彦

  Ntt

関連論文

• 三次元頭部データによる個人自動識別の検討
• 1)正面顔画像の自動識別法の検討(画像通信システム研究会)
• 2)正面顔画像による個人認識の基本検討(〔視聴覚技術研究会 画像処理・コンピュータビジョン研究会〕合同)
• 9)階層的変形処理による人物顔画像の生成に関する検討(〔放送方式研究会 画像通信システム研究会 視聴覚技術研究会 画像処理・コンピュータビジョン研究会 画像応用研究会 映像表現研究会〕合同)
• 透視画像を利用した画素選択型光線追跡法
• Representation of Rotational Sweeps using Quadratic Surfaces and Toruses
• 2次曲面体の変換に関する一考察
• 6)ボーダー・レイトレーシングにおけるテクスチャマッピング([画像表示研究会視覚情報研究会画像通信システム研究会画像処理・画像応用研究会]合同)
• ボーダー・レイトレーシングにおけるテクスチャマッピング
• LoGフィルタを用いた高精度可変Hough変換
• 階層的クラスタリングにおける最適解と局所最適解に関する一考察
• 6)ダブルZバッファ法によるシルエットと半透明効果の生成(〔放送方式研究会 画像処理・コンピュータビジョン研究会 映像表現研究会 画像通信システム研究会 画像応用研究会〕合同)
• 2)3D計測による顔画像認識の基礎検討(〔画像通信システム研究会 画像応用研究会〕合同)
• Human Hair Drawing Based on Trigonal Prism and Wisp Model

もっと見る 閉じる

スポンサーリンク