歐陽明臺灣大學:資訊工程學研究所蔡宗佑Tsai, Tsung-YuTsung-YuTsai2010-05-182018-07-052010-05-182018-07-052008U0001-1806200817542500http://ntur.lib.ntu.edu.tw//handle/246246/183654本文提出一項三維模型形變技術，以傳統建立骨架之技術作基礎，除了可保留表面細微構造，同時也為了求更自然的變形效果，計算上加上了高階限制：長度、關節角度、剛體形變。最後，加上對於骨架位置與權重來作變形求解的最佳化來獲得理想結果，以期盼呈現自然的形變成果。本論文所提方法，基本上依照Kun Zhou等人於2007年所發表之論文為主，最後之結果共有三項優點：(1)提供使用者方便介面作建骨與形變的操縱；(2)條件多寡可經由使用者給予；(3)趨於自然的形變結果。We propose a 3d model deformation technique, which is based on rigging by building the skeleton of the model by user. The approach not only achieves the detail-preservation, but also derives more natural deformation by adding several high-level constraints for more natural results of mesh deformation. The above constraints include preserving the length of bones, limitation of joint angle, and rigidity. Users can modify the pose of a model by direct manipulation on skeleton, and get the realistic deformed mesh. We optimize a given energy function according to the position and weight of skeletons. Our results show the following advantages: convenience of manipulation on rigging and deformation, high-level constraints, and more natural and realistic deformed mesh. Our research is inspired by a research paper done by Kun Zhou et al. in Microsoft Research Asia.摘要......................................................ibstract ............................................... ii 簡介....................................................1 相關工作............................................... 3.1 模型形變歷史之發展介紹 .............................. 3.1.1 Free-Form Deformation ............................. 3.1.2 Multi-Resolution Editing .......................... 4.1.3 Laplacian coordinates ............................. 5.1.4 運動力學 .......................................... 6.2 先前研究之參考 ...................................... 7 系統實作 ............................................. 10.1 系統介紹 ........................................... 10.2 演算法的深入介紹 ................................... 11.2.1 Laplacian 限制 ................................... 15.2.2 位置限制 ......................................... 15.2.3 長度限制 ......................................... 16.2.4 剛體限制 ......................................... 17.2.5 關節角度限制 ..................................... 19.2.6 V 階段之兩種方法 ................................. 21.2.7 W 階段之最佳化 ................................... 23 結果 ................................................. 26.1 一般限制 ........................................... 27.2 高階限制 ........................................... 30 結論與未來工作 ....................................... 40 參考文獻 ............................................. 42application/pdf2305936 bytesapplication/pdfen-US模型形變,高階限制mesh deformation,high-level constraintthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/183654/1/ntu-97-R95922119-1.pdf