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Paper Abstract and Keywords
Presentation 2024-07-18 09:55
Fast Processing Methods for Generalized Gaussian Functions
Hirokazu Kamei, Soichiro Honda, Kohei Hayashi, Norishige Fukushima (NITech) CAS2024-2 VLD2024-2 SIP2024-19 MSS2024-2
Abstract (in Japanese) (See Japanese page) 
(in English) The Gaussian function is used in various situations for image processing filters, such as calculating the kernel weights.
This Gaussian function uses exponential arithmetic, which has a higher computational cost than basic arithmetic operations.
Vector operations and table look-up processing speeding up its computation, and fast libraries that implement transcendental functions using basic arithmetic instructions are available.
However, in the case of bilateral filters and adaptive Gaussian filters, where the weights change dynamically, the table to be referenced changes depending on the pixel position, so it is not possible to perform vector referencing with a simple load instruction, and it is necessary to use the more costly instruction of vector addressing.
Therefore, we propose a method to accelerate the calculation of Gaussian functions using an approximation calculation based on the definition of the Napier number, and compare it with a SIMD arithmetic implementation.
We then confirm its effectiveness by applying it to bilateral filters, which change the calculation process according to the value of the spatial kernel, and to adaptive Gaussian filters, in which the parameters change for each pixel.
Keyword (in Japanese) (See Japanese page) 
(in English) Approximated computing / generalized Gaussian function / sigmoid function / bilateral filtering / adaptive Gaussian filtering / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 112, SIP2024-19, pp. 6-11, July 2024.
Paper # SIP2024-19 
Date of Issue 2024-07-11 (CAS, VLD, SIP, MSS) 
ISSN Online edition: ISSN 2432-6380
Copyright
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reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF CAS2024-2 VLD2024-2 SIP2024-19 MSS2024-2

Conference Information
Committee VLD CAS SIP MSS  
Conference Date 2024-07-18 - 2024-07-19 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2024-07-VLD-CAS-SIP-MSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Fast Processing Methods for Generalized Gaussian Functions 
Sub Title (in English)  
Keyword(1) Approximated computing  
Keyword(2) generalized Gaussian function  
Keyword(3) sigmoid function  
Keyword(4) bilateral filtering  
Keyword(5) adaptive Gaussian filtering  
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Keyword(7)  
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1st Author's Name Hirokazu Kamei  
1st Author's Affiliation Nagoya Institute of Technology (NITech)
2nd Author's Name Soichiro Honda  
2nd Author's Affiliation Nagoya Institute of Technology (NITech)
3rd Author's Name Kohei Hayashi  
3rd Author's Affiliation Nagoya Institute of Technology (NITech)
4th Author's Name Norishige Fukushima  
4th Author's Affiliation Nagoya Institute of Technology (NITech)
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Speaker Author-1 
Date Time 2024-07-18 09:55:00 
Presentation Time 25 minutes 
Registration for SIP 
Paper # CAS2024-2, VLD2024-2, SIP2024-19, MSS2024-2 
Volume (vol) vol.124 
Number (no) no.110(CAS), no.111(VLD), no.112(SIP), no.113(MSS) 
Page pp.6-11 
#Pages 6 
Date of Issue 2024-07-11 (CAS, VLD, SIP, MSS) 

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