Contact Us

For Marketing, Sales and Subscriptions Inquiries
2637 E Atlantic Blvd #43110
Pompano Beach, FL 33062

Conference List

Review of Computer Engineering Research

March 2017, Volume 4, 1, pp 30-37

Perturbation Functions for Compact Database

Sergey I. Vyatkin

Sergey I. Vyatkin 1

  1. Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, Academician Koptug ave. 1, Novosibirsk, Russia 1

on Google Scholar
on PubMed

Pages: 30-37

DOI: 10.18488/journal.76.2017.41.30.37

Share :

Article History:

Received: 08 December, 2016
Revised: 03 January, 2017
Accepted: 16 February, 2017
Published: 19 April, 2017


3D Objects based on perturbation functions are considered in this paper.  For shape creating a set of algorithms and software based on function-defined surfaces that perform an interactive rate and enable intuitive operations was proposed. Interactive modification of the 3D objects allows us to provide high level of detail leading to a photo-realistic appearance of the resulting shapes.

Contribution/ Originality
This study uses a new technique for free-form representation created by mean of the analytical functions which have the following advantages: fewer data for mapping curvilinear surfaces (short database description), fewer geometric operations, simple animation and deformation of surfaces.


Perturbation functions, Geometric objects, Geometric operations, Relations, Interactive object modeling, Visualization.



  1. J. Bloomental, Introduction to implicit surfaces/ (Eds.). San Francisco, CA, USA: Morgan Kaufmann Publishers Inc, 1997.
  2. A. Ricci, "A constructive geometry for computer graphics," Computer Journal, vol. 16, pp. 157-160, 1973. View at Google Scholar | View at Publisher
  3. W. P. Wang and K. K. Wang, "Geometric modeling for swept volume of moving solids," IEEE Computer Graphics and Applications, vol. 6, pp. 8–17, 1986. View at Google Scholar | View at Publisher
  4. C. M. Hoffman, " Implicit curves and surfaces in CAGD," IEEE Computer Graphics Application, vol. 13, pp. 79-88, 1993. View at Google Scholar | View at Publisher
  5. S. Sclaroff and A. Pentland, "Generalized implicit functions for computer graphics," Computer Graphics, vol. 25, pp. 247-250, 1991. View at Google Scholar | View at Publisher
  6. M. P. Gascuel, "An implicit formulation for precise contact modeling between flexible solids," in Siggraph’93, Computer Graphics Proceedings, 1993, pp. 313-320.
  7. B. Wyvill, C. McPheeters, and G. Wyvil, "Animating soft objects," Visual Comput., vol. 2, pp. 235-242, 1986. View at Google Scholar 
  8. J. F. Hughes, "Scheduled fourier volume morphing," Computer Graphics, vol. 26, pp. 43-46, 1992. View at Google Scholar | View at Publisher
  9. S. I. Vyatkin, "Complex surface modeling using perturbation functions," Optoelectronics, Instrumentation and Data Processing, vol. 43, pp. 226-231, 2007. View at Google Scholar | View at Publisher
  10. S. I. Vyatkin and B. S. Dolgovesov, "Collision detection of functionally defined objects for constant time," in Proc. of 15-th International Conference on Computer Graphics GraphiCon ’2005 (Novosibirsk, June 20-24, 2005), 2005, pp. 164-169.
  11. S. I. Vyatkin, "An interactive system for modeling, animating and rendering of functionally defined objects," American Journal of Computer Science and Engineering Survey, vol. 2, p. 102−108, 2014. View at Google Scholar 
  12. S. I. Vyatkin, "Method of binary search for image elements of functionally defined objects using graphics processing units," Optoelectronics, Instrumentation and Data Processing, vol. 50, pp. 606–612, 2014. View at Google Scholar | View at Publisher
  13. S. I. Vyatkin, "Polygonization method for functionally defined objects," International Journal of Automation, Control and Intelligent Systems, vol. 1, p. 1−8, 2015. View at Google Scholar 
  14. Y. Gary and T. Grey, "Robust creation of implicit surfaces from polygonal meshes," IEEE Transactions on Visualization and Computer Graphics, vol. 8, pp. 346-359, 2002. View at Google Scholar | View at Publisher
  15. S. I. Vyatkin, "Converting polygonal models to function-based objects," International Scientific-Technical Magazine Measuring and Computing Devices in Technological Processes, vol. 1, p. 146−150, 2008.


Google Scholor ideas Microsoft Academic Search bing Google Scholor


This study received no specific financial support.

Competing Interests:


The author declares that there are no conflicts of interests regarding the publication of this paper.

Related Article

( 1 ) Perturbation Functions for Compact Database
( 3 ) Forecasting Air Passengers of Changi Airport Based on Seasonal Decomposition and an LSSVM Model
( 4 ) Exploring Internet of Thing on PCA Algorithm for Optimization of Facial Detection and Tracking
( 5 ) Feasibility of Chatbot for Mehran UET Examination Department
( 6 ) Information and Communication Technology (Ict) As a Necessity for Libraries and Librarians of Nigerian Universities in the 21st Century
( 7 ) A Study on Commensal Mortality Rate of a Typical Three Species Syn-Eco-System with Unlimited Resources for Commensal
( 8 ) Information and Communication Technology in Classroom Situations in Rural and Urban Areas in Zimbabwe: A Comparative Study on the Use of Digital and Projected Media in Teaching and Learning at Six Secondary Schools in Masvingo
( 9 ) Postbuckling Analysis of Functionally Graded Beams Using Hyperbolic Shear Deformation Theory
( 10 ) Classification and Identification of Risk Management Techniques for Mitigating Risks with Factor Analysis Technique in Software Risk Management
( 11 ) Information about Simulation Software for Testing of Wireless Network
( 12 ) Investigation on the Dependence of TCP Upstream Throughput on Snr for Single and Multiple Links in a Wlan System
( 13 ) RLS Fixed-Lag Smoother Using Covariance Information Based on Innovation Approach in Linear Continuous Stochastic Systems
( 14 ) Real-Time Workload Scheduling (RTWS) Algorithm for Cloud
( 15 ) Performance Analysis of Routing Protocols for CBR Traffic in Mobile Ad-Hoc Networks
( 16 ) Enhanced Isolation Mimo Antenna with DGS Structures for Long Term Evolution Systems
( 17 ) High Isolation Microstrip Mimo Antennas for Wlan Systems
( 18 ) Generalized Quantum Key Distribution for WDM Router Applications
( 19 ) Selection of Appropriate Equipment for Designing Effective Vacuum System
( 20 ) Web Service Composition for E-Commerce Web Application
( 21 ) Role of Library and Information Science Professionals in the Knowledge Society
( 22 ) A Comprehensive Review of Semiconductor-Type Gas Sensors for Environmental Monitoring
( 23 ) Analysis of Suitable Security Protocols for Apply a Model of Identity in the Civil Registry of Ecuador
( 24 ) Path Loss Measurement and Modeling for Lagos State G.S.M Environments
( 25 ) Simulation of the Performance of CdTe/CdS/ZnO Multi- Junction Thin Film Solar Cell
( 27 ) Chaotic Particle Swarm Optimization for Imprecise Combined Economic and Emission Dispatch Problem
( 28 ) Using ICT Policy Framework as a Panacea for Economic Recession and Instability in Nigeria
( 29 ) A Common Operational Picture in Support of Situational Awareness for Efficient Emergency Response Operations
( 30 ) Development Problems of Information Provision on the Management of High Technology Park
( 31 ) Comprehensive Analysis & Performance Comparison of Clustering Algorithms for Big Data
( 32 ) A Security Scheme for Protecting Agent Societies
( 33 ) Creation of Algoritms for Recommendation System Based on Users Data on Internet Advertisement Marketing
( 34 ) Development and Performance Analysis of Bisection Method-Based Optimal Path Length Algorithm for Terrestrial Microwave Link
( 35 ) Development of Facilitated Participatory Spatial Information System for Selected Urban Management Services
( 36 ) Stanford University Interim Propagation Loss Model for a Gmelina Arborea Tree-Lined Road
( 37 ) Characterisation of Propagation Loss for a 3G Cellular Network in a Crowded Market Area Using CCIR Model
( 38 ) Development of Web Application for University of Uyo Post UTME Examination Timetable
( 39 ) A Framework for Digital Forensic in Joint Heterogeneous Cloud Computing Environment
( 40 ) A Structural Framework for Distributed Electronic Voters Register
( 41 ) A Review of Machine Learning Models for Software Cost Estimation
( 42 ) Speed Control of Induction Motor on C2000 DSP Platform
( 43 ) Application of Ant Algorithm for Software Optimization
( 44 ) Interactive Algorithms for the Verification of the Equality between Complex and Simplified Boolean-Algebra Expressions in Digital Decoders
( 45 ) Smart Feature Fusion and Model for Human Detection
( 46 ) LMS Algorithm for Adaptive Transversal Equalization of a Linear Dispersive Communication Channel
( 47 ) Study and Comparative Analysis of Programming Languages Used for Big Data
( 48 ) Activity Recognition and Creation of Web Service for Activity Recognition using Mobile Sensor Data using Azure Machine Learning Studio