A Family of 6-Point n-Ary Interpolating Subdivision Schemes
Journal Title: Mehran University Research Journal of Engineering and Technology - Year 2018, Vol 37, Issue 4
Abstract
We derive three-step algorithm based on divided difference to generate a class of 6-point n-ary interpolating sub-division schemes. In this technique second order divided differences have been calculated at specific position and used to insert new vertices. Interpolating sub-division schemes are more attractive than approximating schemes in computer aided geometric designs because of their interpolation property. Polynomial generation and polynomial reproduction are attractive properties of sub-division schemes. Shape preserving properties are also significant tool in sub-division schemes. Further, some significant properties of ternary and quaternary sub-division schemes have been elaborated such as continuity, degree of polynomial generation, polynomial reproduction and approximation order. Furthermore, shape preserving property that is monotonicity is also derived. Moreover, the visual performance of proposed schemes has also been demonstrated through several examples.
Authors and Affiliations
Robina Bashir, Ghulam Mustafa
Keywords
Related Articles
- EP ID EP394631
- DOI 10.22581/muet1982.1804.03
- Views 170
- Downloads 0
Solving Real-Life Problems: Future Mobile Technology Sophistication
Almost all the human being real life concerned domains are taking advantage of latest technologies for enhancing their process, procedures and operations. This integration of technological innovations provides ease of ac...
Multi-Agent Communication System with Chatbots
It has been found that communication is actually important in our lives; without it is difficult to accomplish something. It becomes possible with the support of the technology that is being used today; now it is easy to...
Impact of Auxiliary Equipment Consumption on Electricity Generation Cost in Selected Power Plants of Pakistan
This study focuses on higher generation cost of electricity in selected TPPs (Thermal Power Plants) in Sindh, Pakistan. It also investigates the energy consumed by the auxiliary equipment of the selected TPPs in Sindh, P...
Enhancing Knowledge and Bounce Rate in SERPs Using Micro-Data
Internet has revolutionized the human life. SEs (Search Engines) are one of the major tools being used for finding information over the Internet. SEs enlist the information into links as per relevance to the searched que...
LIFEREC: A Framework for Recommending Users from Past Life Experiences
Life logging has been an eminent topic of concern in recent years with many researchers focusing on capturing daily life activities of human. With the proliferation of IoT (Internet of Things) domain, the devices are now...