An accurate error measure for adaptive subdivision surfaces

2006 ◽  
Author(s):  
Xiaobin Wu ◽  
J. Peters
Keyword(s):  
Subdivision Surfaces ◽  
Error Measure ◽  
Adaptive Subdivision

An Adjustable Adaptive Subdivision Surface Modeling Based on Triangle Meshes

2010 ◽  
Vol 26-28 ◽  
pp. 702-705
Author(s):  
Fu Qing Zhao ◽  
Xin Ai
Keyword(s):  
Standard Technique ◽  
Adjustable Parameter ◽  
Shape Modeling ◽  
Subdivision Surfaces ◽  
Subdivision Scheme ◽  
Subdivision Surface ◽  
Triangle Meshes ◽  
Good Surface ◽  
Adaptive Subdivision ◽  
Loop Scheme

Subdivision surfaces have become a standard technique for free shape modeling. But tradition subdivision scheme does not adjust the shape of subdivision results. In this paper, We introd uce adjustable adaptive subdivision as a new adaptive subdivision method for triangle meshes. This method applied to the method of adaptive subdivision constructs a new subdivision rule by introducing adjustable parameter to the traditional Loop scheme. The experiment shows that this method not only use fewer meshes to obtain the performance good surface but also can adjust the hape of subdivision surface to satisfy the actual need.

scholarly journals Adaptive Subdivision of Catmull-Clark Subdivision Surfaces

2005 ◽  
Vol 2 (1-4) ◽  
pp. 253-261 ◽  
Author(s):  
Jun-Hai Yong ◽  
Fuhua (Frank) Cheng
Keyword(s):  
Subdivision Surfaces ◽  
Adaptive Subdivision

scholarly journals Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mehwish Bari ◽  
Ghulam Mustafa ◽  
Abdul Ghaffar ◽  
Kottakkaran Sooppy Nisar ◽  
Dumitru Baleanu
Keyword(s):  
Computer Graphics ◽  
Geometric Modeling ◽  
Tension Control ◽  
Free Form ◽  
Subdivision Surfaces ◽  
Smooth Curves ◽  
Practical Applications ◽  
Tension Parameter ◽  
Exact Reproduction ◽  
Free Form Surfaces

AbstractSubdivision schemes (SSs) have been the heart of computer-aided geometric design almost from its origin, and several unifications of SSs have been established. SSs are commonly used in computer graphics, and several ways were discovered to connect smooth curves/surfaces generated by SSs to applied geometry. To construct the link between nonstationary SSs and applied geometry, in this paper, we unify the interpolating nonstationary subdivision scheme (INSS) with a tension control parameter, which is considered as a generalization of 4-point binary nonstationary SSs. The proposed scheme produces a limit surface having $C^{1}$ C 1 smoothness. It generates circular images, spirals, or parts of conics, which are important requirements for practical applications in computer graphics and geometric modeling. We also establish the rules for arbitrary topology for extraordinary vertices (valence ≥3). The well-known subdivision Kobbelt scheme (Kobbelt in Comput. Graph. Forum 15(3):409–420, 1996) is a particular case. We can visualize the performance of the unified scheme by taking different values of the tension parameter. It provides an exact reproduction of parametric surfaces and is used in the processing of free-form surfaces in engineering.

scholarly journals JPEG Quality Transcoding Using Neural Networks Trained with a Perceptual Error Measure

1999 ◽  
Vol 11 (1) ◽  
pp. 267-296 ◽  
Author(s):  
John Lazzaro ◽  
John Wawrzynek
Keyword(s):  
Prototype System ◽  
Training Procedure ◽  
Human Visual Perception ◽  
Error Measure ◽  
Jpeg Image ◽  
Perceptual Error ◽  
Image File ◽  
Visual Artifacts ◽  
Error Metric ◽  
Coded Images

A JPEG Quality Transcoder (JQT) converts a JPEG image file that was encoded with low image quality to a larger JPEG image file with reduced visual artifacts, without access to the original uncompressed image. In this article, we describe technology for JQT design that takes a pattern recognition approach to the problem, using a database of images to train statistical models of the artifacts introduced through JPEG compression. In the training procedure for these models, we use a model of human visual perception as an error measure. Our current prototype system removes 32.2% of the artifacts introduced by moderate compression, as measured on an independent test database of linearly coded images using a perceptual error metric. This improvement results in an average PSNR reduction of 0.634 dB.

Error bounds for Loop subdivision surfaces

2013 ◽  
Vol 91 (3) ◽  
pp. 688-703 ◽  
Author(s):  
Guorong Zhou ◽  
Xiao-Ming Zeng
Keyword(s):  
Error Bounds ◽  
Subdivision Surfaces
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