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首页 > 过刊浏览>2015年第26卷第5期 >1213-1236. DOI:10.13328/j.cnki.jos.004822
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3D多尺度几何分析研究进展
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基金项目:

国家自然科学基金(61402214, 41271422); 教育部高等学校博士学科点专项科研基金(20132136110002); 辽宁省博士科研启动基金(20121076); 辽宁省教育厅科学研究一般项目(L2011192, L2013406); 大连市科学技术基金计划(2012J21DW008, 2013J21DW027); 计算机软件新技术国家重点实验室开放基金(KFKT2011B09, KFKT2010B11); 江苏省图像处理与图像通信重点实验室开放基金(LBEK2011001);


Advances in Three-Dimensional Multiscale Geometrical Analysis
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  • 参考文献 [78]
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    摘要:

    3D多尺度几何分析是图像、视频和几何模型等数字可视媒体处理的技术基础,其目的在于高效地表示这些媒体中存在的点、线、面奇异.为此,依据不同变换捕获奇异的能力演进及其非线性逼近效率的提高,从2D图像多尺度几何分析的研究进展切入,着重阐述视频3D多尺度几何分析的发展,并将其归纳为3类:由2D基函数直接扩展的3D多尺度几何分析、基于3D基函数的3D多尺度几何分析和基于时空非局部相关性的3D多尺度几何分析,深入探讨了各种典型变换方法的主要思想、非线性逼近效率、计算复杂度、优势和不足.同时,概要介绍了数字几何模型的3D多尺度几何分析研究进展.在此基础上,对3D多尺度几何分析的未来发展趋势进行了展望.

    Abstract:

    Three-Dimensional (3D) multiscale geometrical analysis is the technological fundamental for the processing of digital visual media, such as images, videos, and geometrical models. Its objective is to efficiently represent the point singularity, curve singularity, as well as surface singularity presented in those visual media. This study first reviews the research advances in two-dimensional (2D) multiscale geometrical analysis. It then elaborates on the development of 3D multiscale geometrical analysis for video according to the capability evolution in capturing singularity and nonlinear approximation efficiency improvement of various transforms. State-of-the-Art 3D multiscale geometrical analysis is classified into three categories: the extended multiscale geometrical analysis from 2D basis functions, the multiscale geometrical analysis based on 3D basis function, and the multiscale geometrical analysis based on spatiotemporal non-local correlation. The basic ideas of typical transforms are thoroughly discussed subsequently, and so are their nonlinear approximation efficiency, computational complexity, advantages, and disadvantages. Meanwhile, this study also presents a general review on the development of the 3D multiscale geometrical analysis for geometrical models. Based on the study above, the development trend of the 3D multiscale geometrical analysis is forecast in the near future.

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[doi: 10.1109/TIP.2013.2264679]琀椀漀渀猀?椀渀?匀椀最渀愀氀?愀渀搀??洀愀最攀?倀爀漀挀攀猀猀椀渀最???????攀氀氀椀渀最栀愀洀??匀倀???倀爀攀猀猀???????????????嬀搀漀椀???　????????????????崀?戀爀?嬀???崀?儀椀??堀??吀愀漀?????匀漀渀最?刀堀???愀????匀甀渀?圀???愀椀?娀???刀攀瀀爀攀猀攀渀琀愀琀椀漀渀?昀漀爀?愀?最爀漀甀瀀?漀昀?瀀愀爀愀洀攀琀爀椀挀?挀甀爀瘀攀猀?戀愀猀攀搀?漀渀?琀栀攀?漀爀琀栀漀最漀渀愀氀?挀漀洀瀀氀攀琀攀?唀?猀礀猀琀攀洀???栀椀渀攀猀攀??漀甀爀渀愀氀?漀昀??漀洀瀀甀琀攀爀猀???　　?????????????????椀渀??栀椀渀攀猀攀?眀椀琀栀??渀最氀椀猀栀?愀戀猀琀爀愀挀琀???戀爀?嬀???崀??栀甀椀?????儀甀愀欀????圀愀瘀攀氀攀琀猀?漀渀?愀?戀漀甀渀搀攀搀?椀渀琀攀爀瘀愀氀??一甀洀攀爀椀挀愀氀??攀琀栀漀搀猀?漀昀??瀀瀀爀漀砀椀洀愀琀椀漀渀?吀栀攀漀爀礀????????????????嬀搀漀椀???　??　　?????????　??????????开?崀?戀爀?嬀???崀??甀栀洀愀渀渀??????椀挀挀栀攀氀氀椀?????匀瀀氀椀渀攀?瀀爀攀眀愀瘀攀氀攀琀猀?昀漀爀?渀漀渀?甀渀椀昀漀爀洀?欀渀漀琀猀??一甀洀攀爀椀猀挀栀攀??愀琀栀攀洀愀琀椀欀??????????????????????嬀搀漀椀???　???　　????　??????　崀?戀爀?嬀???崀?匀眀攀氀搀攀渀猀?圀??吀栀攀?挀漀渀猀琀爀甀挀琀椀漀渀?愀渀搀?愀瀀瀀氀椀挀愀琀椀漀渀?漀昀?眀愀瘀攀氀攀琀猀?椀渀?渀甀洀攀爀椀挀愀氀?愀渀愀氀礀猀椀猀?嬀倀栀????吀栀攀猀椀猀崀???攀氀最椀甀洀???愀琀栀漀氀椀攀欀攀?唀渀椀瘀攀爀猀椀琀攀椀琀??攀甀瘀攀渀????????戀爀?嬀??　崀?匀眀攀氀搀攀渀猀?圀??吀栀攀?氀椀昀琀椀渀最?猀挀栀攀洀攀????挀甀猀琀漀洀?搀攀猀椀最渀?挀漀渀猀琀爀甀挀琀椀漀渀?漀昀?戀椀漀爀琀栀漀最漀渀愀氀?眀愀瘀攀氀攀琀猀???瀀瀀氀椀攀搀?愀渀搀??漀洀瀀甀琀愀琀椀漀渀愀氀??愀爀洀漀渀椀挀??渀愀氀礀猀椀猀?????????????????　　??嬀搀漀椀???　??　　??愀挀栀愀?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????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宋传鸣,赵长伟,刘丹,王相海.3D多尺度几何分析研究进展.软件学报,2015,26(5):1213-1236

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