scholarly journals A boy with multiple patches of alopecia and an affected cat

2020 ◽  
Author(s):  
Kam Lun Hon ◽  
Alexander K C Leung
Keyword(s):  
Multiple Patches

Smooth Surface Interpolation With Multiple Patches

1999 ◽  
Author(s):  
N. Adhikary ◽  
B. Gurumoorthy
Keyword(s):  
Smooth Surface ◽  
Knot Insertion ◽  
B Spline ◽  
Surface Interpolation ◽  
Multiple Patches ◽  
Point Data ◽  
C1 Continuity ◽  
Knot Removal

Abstract This paper addresses the problem of interpolating point data with multiple patches. The specific issue addressed in this paper is the continuity between the patches used for interpolation. The procedure described in this paper maintains continuity by introducing an intermediate patch between the two patches used for interpolating the point data. This patch is formed by several Bezier patches that maintain continuity with the corresponding Bezier patches obtained by repeated knot insertion in the two interpolating patches. The blending Bezier patches are then converted to a blending B-spline patch by knot removal. It is shown that C1 continuity is obtained across the junction between each interpolating patch and the blending patch. The continuity, across each blending patch and the interpolation performance in the blending patch is also discussed. The paper presents results, of implementation on some typical surfaces.

Target Tracking Using Multiple Patches and Weighted Vector Median Filters

2012 ◽  
Vol 45 (3) ◽  
pp. 293-307 ◽  
Author(s):  
Jose Bins ◽  
Leandro L. Dihl ◽  
Claudio R. Jung
Keyword(s):  
Target Tracking ◽  
Median Filters ◽  
Multiple Patches ◽  
Vector Median

Use of multiple patches during implantation of epicardial defibrillator systems

1993 ◽  
Vol 71 (1) ◽  
pp. 68-71 ◽  
Author(s):  
Jeffrey M. Baerman ◽  
Bradford P. Blakeman ◽  
Brian Olshansky ◽  
Douglas E. Kopp ◽  
John G. Kall ◽  
...  
Keyword(s):  
Multiple Patches

The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches

2010 ◽  
Vol 199 (37-40) ◽  
pp. 2403-2416 ◽  
Author(s):  
J. Kiendl ◽  
Y. Bazilevs ◽  
M.-C. Hsu ◽  
R. Wüchner ◽  
K.-U. Bletzinger
Keyword(s):  
Isogeometric Analysis ◽  
Shell Structures ◽  
Strip Method ◽  
Multiple Patches

scholarly journals Characterization of Color Differences for Color Palettes

2020 ◽  
Vol 2020 (28) ◽  
pp. 232-236
Author(s):  
Jialu Wu ◽  
Jie Yang ◽  
Minchen Wei ◽  
Kaida Xiao ◽  
Stephen Westland
Keyword(s):  
Computer Graphics ◽  
Color Difference ◽  
Difference Model ◽  
Color Palette ◽  
Reference Set ◽  
Color Differences ◽  
Multiple Patches ◽  
Different Color ◽  
Perceived Color

Various color difference metrics were developed for characterizing the perceived color difference between individual color patches. Color difference between palettes containing multiple color patches, however, is critically important in product design and computer graphics. This study aimed to investigate how the perceived color difference between a pair of color palettes containing more than a single color patch is affected by the order and number of color patches in the palette. Two reference color sets were generated and each set had four color palettes containing 1, 4, 9, and 16 color patches that were arranged as 1 × 1, 2 × 2, 3 × 3, and 4 × 4 patterns. Human observers scaled the color differences between a color palette of the reference set and a color palette that had revised colors, or revised orders, or a combination of revised colors and orders compared to the reference palette. The calculated color differences between the two palettes were derived using the Minimum Color Difference Model (MICDM) algorithm proposed in a recent work with different color difference metrics, including CIELAB, CMC, CIE94, and DE2000. It was found that the perceived color differences of pairs of individual color patches were significantly larger than those containing multiple patches, when the calculated color differences were the same. The color differences metrics, except for CIE94, had similar performance when characterizing perceived color differences between color palettes.

Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

2015 ◽  
Vol 18 (5) ◽  
pp. 1380-1416 ◽  
Author(s):  
Futao Zhang ◽  
Yan Xu ◽  
Falai Chen ◽  
Ruihan Guo
Keyword(s):  
Error Estimate ◽  
Discontinuous Galerkin ◽  
Isogeometric Analysis ◽  
Approximation Error ◽  
Generation Process ◽  
Element Analysis ◽  
Discrete Energy ◽  
Interior Penalty ◽  
Multiple Patches ◽  
3D Surfaces

AbstractWe propose a method that combines Isogeometric Analysis (IGA) with the interior penalty discontinuous Galerkin (IPDG) method for solving the Allen-Cahn equation, arising from phase transition in materials science, on three-dimensional (3D) surfaces consisting of multiple patches. DG ideology is adopted at patch level, i.e., we employ the standard IGA within each patch, and employ the IPDG method across the patch interfaces. IGA is very suitable for solving Partial Differential Equations (PDEs) on (3D) surfaces and the IPDG method is used to glue the multiple patches together to get the right solution. Our method takes advantage of both IGA and the IPDG method, which allows us to design a superior semi-discrete (in time) IPDG scheme. First and most importantly, the time-consuming mesh generation process in traditional Finite Element Analysis (FEA) is no longer necessary and refinements, includingh-refinement andp-refinement which both maintain the original geometry, can be easily performed at any level. Moreover, the flexibility of the IPDG method makes our method very easy to handle cases with non-conforming patches and different degrees across the patch interfaces. Additionally, the geometrical error is eliminated (for all conic sections) or significantly reduced at the beginning due to the geometric flexibility of IGA basis functions, especially the use of multiple patches. Finally, this method can be easily formulated and implemented. We present our semi-discrete IPDG scheme after generally describe the problem, and then briefly introduce the time marching method employed in this paper. Theoretical analysis is carried out to show that our method satisfies a discrete energy law, and achieves the optimal convergence rate with respect to theL2norm. Furthermore, we propose an elliptic projection operator on (3D) surfaces and prove an approximation error estimate which are vital for us to obtain the error estimate in theL2norm. Numerical tests are given to validate the theory and gauge the good performance of our method.

Nevoid Hypertrichosis: Multiple Patches Associated With Premature Graying of Lesional Hair

1994 ◽  
Vol 11 (1) ◽  
pp. 49-51 ◽  
Author(s):  
Linda S. Rupert ◽  
Mark Bechtet ◽  
Arthur Pellegrini
Keyword(s):  
Multiple Patches
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