Recognition of 3D Objects Using Heat Diffusion Equations and Random Forests

Author(s):  
D. Naji ◽  
M. Fakir ◽  
B. Bouikhalene ◽  
R. Elayachi
2012 ◽  
Vol 36 (7) ◽  
pp. 2996-3006 ◽  
Author(s):  
R. Suero ◽  
M.A.V. Pinto ◽  
C.H. Marchi ◽  
L.K. Araki ◽  
A.C. Alves

1986 ◽  
Vol 64 (9) ◽  
pp. 1049-1052 ◽  
Author(s):  
Richard M. Miller

Impulse-response photoacoustic spectroscopy provides information on the depth distribution of chromophores in solid samples. To gain an understanding of the way in which sample properties affect the impulse response, a digital model has been generated. This model is based on discretization of time and space coupled with a finite-difference approximation of the governing heat-diffusion equations. The simulations are compared with experimental results.


1983 ◽  
Vol 105 (2) ◽  
pp. 295-301 ◽  
Author(s):  
F. B. Cheung

An approximate analytical method for treating parabolic type nonlinear heat diffusion equations is descibed in this study. The method involves transformation of the partial differential equations along with their initial and boundary conditions in terms of several pseudo-similarity variables followed by numerical solution of a system of quasi-ordinary differential equations. One obvious advantage of the approach is that the solution at a particular time can be found independently of the previous history of the temperature field. The simplicity and directness of the method are illustrated by solving the problem of combined conduction and thermal radiation in a large, heat-generating, particulate bed in contact with a solid. Comparison of the present analytical results is made with available finite difference solutions and found to be good.


2021 ◽  
Vol 25 (6 Part B) ◽  
pp. 4631-4642
Author(s):  
Xiao-Jun Yang ◽  
Yu-Rong Fan

In this article the theory of the supertrigonometric and superhyperbolic functions associated with the J and H functions are proposed for the first time. The series representation for the heat-diffusion equations are also given by using the J and H functions. The results are efficient and accurate for the description for the solutions of the PDE in mathematical physics.


1989 ◽  
Vol 136 (2) ◽  
pp. 124
Author(s):  
Ming-Hong Chan ◽  
Hung-Tat Tsui

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