CASIA OpenIR  > 毕业生  > 硕士学位论文
Thesis Advisor罗曼丽 ; 张恭清
Degree Grantor中国科学院自动化研究所
Place of Conferral中国科学院自动化研究所
Degree Discipline模式识别与智能系统
Abstract向量小波理论是近几年发展起来的小波理论的一个重要分支,它既有着深刻的 数学理论基础,同时又在物理、化学、生物、电子等领域得到了应用。向量小波无 论在理论方面还是在应用方面都颇有研究价值。由于时间和精力的限制,本文的研 究重点放在如何把向量小波应用到图象校准、图象镶嵌中。 作者在进行对向量小波应用的研究中,对其中一些关键问题做了深人的分析。 具体的,本文的主要工作有: l。从数字信号处理(包括图象处理、物体识别)的角度来看,尽管传统小波具有 许多优点,但是仍然存在着许多不足;近三、四年发展起来的向量小波因其对称性、 紧支性而克服了原来的不足。并讨论了滤波器组设计方法,预处理方式。 2。在用向量小波解决图象校准问题时,提出了多分辨率对角线算法。首先, 建立了多分辨率图象校准模型,得到了循环迭代公式;然后,对最优化算法进行了 比较选择,并给出了循环中所需要的导数计算公式;最后,结合向量小波的特点, 提出了多分辨率对角线算法。实验结果表明,该算法收敛迅速、计算量较小,并具 有较高的鲁棒性。 3。详细分析了图象拼接中容易产生明显拼接缝和两次曝光效果的原因。为解 决这一问题,提出了带有权函数的向量小波多层处理方法。实验证明,这种方法在 形成全景图方面具有良好的视觉效果。 4。在图象镶嵌的基础上,进一步讨论了任意视点的场景生成这一问题。首先 指出传统方法中几何建模、光照建模的缺陷;然后分析了近几年来兴起的基于图象 的几种处理方法。在光图法的基础上,提出了拍摄时视点受限的方法,简化了定标 过程;给出了计算公式和系统框架。 当然,向量小波还有许多有待于进一步研究的问题,例如构造方法、最优基的 选取以及在图象处理和视觉中的应用。但是,随着该领域及相关领域的不断发展, 向量小波将在图象、视觉及视频处理方面得到重要的应用。
Other AbstractMultiwavelets theory has received great attention of researchers in recent years, and it is an important branch of wavelet theory. With the profound mathematics foundation, multiwavelets has been applied into physics, chemistry, biology, electrical engineering and other areas. Both in theoretical and in application aspects, multiwavelets is well worth of study. Due to the limitation of time and ability, I put my focus on how to apply multiwavelets into image registration and image mosaic. During the work on multiwavelets and its application, I conducted some research on the key problems as following: 1. From the point view of digital signal processing(image processing, pattern recognition), it is pointed that wavelets has some disadvantage although it has advantage and has been applied into many areas. Multiwavelets, which has compact support and symmetry, can get rid of those drawbacks. Furthermore, the design of filter banks and the preprocessing methods are discussed. 2. Based on multiwavelets, we proposed a multiresolution diagonal algorithm. Firstly, we present multi-resolution model for image registration, and its iteration formulas; Secondly, after careful comparation among kinds of optimization methods, we choose Broyden-Fletcher-Goldfarb-Shanno algorithm and give the formulas for derivatives which are required in the optimization; Finally, based on multiwavelets, we propose a multiresolution diagonal algorithm. Our experimental results indicate that our algorithm converges very rapidly, needs less computation and has high robustness which is less-sensible to noise and is not likely to get trapped in a local minimum. 3. Carefully analyze two problems which are common in image mosaic, sharp edge and double-exposure effect. To overcome the problems, we propose a multiresolution approach with weight function. Experimental results indicate that this method can product perfect vision effect. 4. We generalize the concept of mosaic, and discuss the field of arbitrary view generation(AVG). We firstly point out the drawbacks of geometry modeling and illumination modeling in the traditional methods, and then give a survey of image-based approach. Based on Lumigraph, we present a capturing-viewpoint limited way to construct the lumigraph, which can simplify the calibration procedure. The computation formulas and system blocks are also presented. Currently, there are still many problems left open for multiwavelet, such as its construction, choice of the best basis, and its applications in image processing and computer vision. We believe that with the advancement of this field and other related fields, multiwavelet will become a more developed theory and find its applications in computer vision.
Other Identifier420
Document Type学位论文
Recommended Citation
GB/T 7714
王元开. 向量小波及其在图象校准和图象镶嵌中的应用研究[D]. 中国科学院自动化研究所. 中国科学院自动化研究所,1997.
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