資料隱藏在電腦圖學領域中總是吸引大量的研究者的目光，一般來說，資料隱藏因為不同的目的而分成兩大主題，其一是隱寫術，另一個則是浮水印。在本篇論文中，分別對此兩大主題提出最適當的演算法。
首先是隱寫術，它所強調的是要能在三維模型中攜帶大量的訊息並且不易被察覺，為此，我們提出一個非常高容量和低失真的三維隱寫技術，此方法是基於新型的多層嵌入技術將訊息隱藏於三維多邊形模型的頂點。實驗結果證明，模型的失真率相當地小，而且至少可嵌入7到13層的資料。這種新方法可以提供隱藏的能力遠高於其他方法，同時還能服從低失真和安全的基本要求。
另一種資料隱藏的模式是所謂的浮水印，它通常是用在版權管理及保護信息上。我們提出一種新的半盲和半可逆的，強大的三維的多邊形模型的浮水印技術。我們利用擴頻方式將浮水印嵌入於三維模型中顯著的特點上。這個技術對於不論旋轉、平移、縮放、雜訊、平滑化、網絡簡化、頂點的重新排列、裁剪、甚至網絡變形都能準確的提出隱藏於其中之浮水印。據我們所知，現有的方法包括盲目的，半盲和非盲檢測方案不能承受的網絡變形這種攻擊。此外，水印模型半盲檢測方案中是可以大部份恢復成原有模型在。實驗結果表明，這種新方法在強健性和隱蔽性比其他方法很多顯著的優勢。
近幾年來，三維資料檢索系統在圖學領域一直是很熱門的研究方向，所謂的三維資料包括靜態的三維網絡及動態的三維動作資料，如何利用一組很好的描述算子將大量的檢索資料簡化並描述出重要特徵是此研究的重要目標。在本篇論文中，我們提出利用球諧函數(Spherical Harmonic Functions, SHs)來表示大量的三維資料，由於其本身具有相當好的特性，大大地加速檢索速度及增加檢索效能。
本篇論文中，我們分別針對兩大類不同的資料作配對及檢索，首先是關於人類動作檢索，近幾年來，由於運動擷取(motion capture)不斷地蓬勃發展，人類動作檢索的重要性也日漸提昇，目前大部份的動作檢索技術，在執行之前，皆須花費大量人力從一大型動作資料庫中剪輯出一小段動作資料作為查詢的基本資料，我們的系統除了利用球諧函數改善這部份的效能之外，更開發出一新的素描查詢界面(sketching interface)，讓使用者更方便使用檢索系統。而在球諧函數編碼階段，我們提出一新的概念，依照人體不同階層層級作編碼，如此便能同時處理概念性或是精確性的檢索。最後，我們利用這個檢索系統，發展出一個有趣的應用，即利用漫畫式手繪界面建構出一段真人動畫。
另外一類資料是關於三維模型，目前模型比對的方法僅能處理局部或是全域的匹配，本篇論文中所提出來的方法，可同時處理這兩大類的比對，為了達到這個目的，我們將一給定的模型分成兩個部份，一部分是關於此模型的拓樸結構，另一部份則是幾何特徵，並同時將這兩部份嵌入於一圖形中，最後利用Earth Mover's Distance (EMD)來增加兩圖型之間比對的效率。此篇論文中所用到的拓樸結構是採用骨架資訊，而幾何特徵則是採用球諧函數。最後實驗結果顯示，我們所提出的方法不僅能處理局部及全域的匹配，也能處理受到噪音，平滑，簡化，相似變換，變形等攻擊後的模型匹配。

Information hiding for a 3D model has captured the imagination of researchers in computer graphic and visualization. This thesis focuses on two different purposes for hiding message. The first one is steganography, it is emphasized to carry a lot of message and be invisible. Therefor, we present a very high-capacity and low-distortion 3D steganography scheme. The steganography approach is based on a novel multi-layered embedding scheme to hide secret messages in the vertices of 3D polygon models. Experimental results show that the cover model distortion is very small as the number of hiding layers ranges from 7 to 13 layers. This novel approach can provide much higher hiding capacity than other state-of-the-art approaches, while obeying the low distortion and security basic requirements for steganography on 3D models.
Another interest form of Steganography is watermarking. It was usually used to address digital rights management and protect information. We introduce a novel semi-blind-and-semi-reversible robust watermarking scheme for three-dimensional (3D) polygonal models. The proposed approach embeds watermarks in the significant features of 3D models in a spread-spectrum manner. This novel scheme is robust against a wide variety of attacks including rotation, translation, scaling, noise addition, smoothing, mesh simplifications, vertex reordering, cropping, and even pose deformation of meshes. The existing approaches including blind, semi-blind, and non-blind detection schemes cannot withstand the attack of pose editing, which is a very common routine in 3D animation. In addition, the watermarked models can be semi-reversed (i.e., the peak signal-to-noise ratio (PSNR) of the recovered models is greater than 90dB in all experiments) in semi-blind detection scheme. Experimental results show that this novel approach has many significant advantages in terms of robustness and invisibility over other state-of-the-art approaches.
In recent years, 3D information retrieval system has been a very popular field. How to use a compact and accurate descriptor to retrieve desired information is an important issue. In this thesis, we propose a mathematical notion of spherical harmonics to describe a large number of 3D data. This technology is used in human motion retrieval and shape matching.
The rapid growth of motion capture data increases the importance of motion retrieval. The majority of the existing motion retrieval approaches are based on a labour intensive step in which the user browses and selects a desired query motion clip from the large motion clips database. In this work, a novel sketching interface for defining the query is presented. This simple approach allows users to define the required motion by sketching several motion strokes over a drawn character, which requires less effort and extends the users' expressiveness. To support the real-time interface, a specialized encoding of the motions and the hand-drawn query is required. Here, we introduce a novel hierarchical encoding scheme based on a set of orthonormal spherical harmonic basis functions (SHs), which provides a compact representation, and avoids the CPU/processing intensive stage of temporal alignment used by previous solutions. Experimental results show that the proposed approach can well retrieve the motions, and is capable of retrieve logically and numerical similar motions, which is superior to previous approaches. The user study shows that the proposed system can be a useful tool to input motion query if the users are familiar with it. Finally, an application of generating a 3D animation from a hand-drawn comics strip is demonstrated.
Shape matching is a fundamental and important research issue with many applications in computer graphics and visualization. We introduce a underlying graph structure which is composed of topological skeleton and local geometric features of an given 3D model. Matching two graph structures is generally a NP-hard combinatorial optimization problem. To reduce computation cost, two graphs are embedded on a high-dimensional space, and then matched based on an extension of Earth Mover's Distance (EMD). Furthermore, the symmetric components of an articulated object are determined by a voting algorithm with a self-matching strategy to refine the matching correspondences. Experimental results show that the proposed approach is robust, even when the models are under the surface disturbances of noise addition, smoothing, simplification, similarity transformation, and pose deformation. In addition, the proposed approach is capable of handling both global and partial shape matching.

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