Weighted G1-Multi-Degree Reduction of B´ezier Curves
Journal Title: International Journal of Advanced Computer Science & Applications - Year 2016, Vol 7, Issue 2
Abstract
In this paper, weighted G1-multi-degree reduction of B´ezier curves is considered. The degree reduction of a given B´ezier curve of degree n is used to write it as a B´ezier curve of degree m,m < n. Exact degree reduction is not possible, and, therefore, approximation methods are used. The weight function w(t) = 2t(1 - t), t [0, 1] is used with the L2-norm in multidegree reduction with G1-continuity at the end points of the curve. Since we consider boundary conditions this weight function improves approximation in the middle of the curve. Numerical results and comparisons show that the proposed method produces fewer errors and outperform all existing methods.
Authors and Affiliations
Abedallah Rababah, Salisu Ibrahim
Keywords
Related Articles
- EP ID EP133310
- DOI 10.14569/IJACSA.2016.070270
- Views 85
- Downloads 0
Formal Specification of Memory Coherence Protocol
Memory coherence is the most fundamental re-quirement in a shared virtual memory system where there are concurrent as well as loosely coupled processes. These processes can demand a page for reading or writing. The memor...
Personalizing of Content Dissemination in Online Social Networks
Online social networks have seen a rapid growth in recent years. A key aspect of many of such networks is that they are rich in content and social interactions. Users of social networks connect with each other and formin...
Modeling the Cut-off Frequency of Acoustic Signal with an Adaptative Neuro-Fuzzy Inference System (ANFIS)
An Adaptative Neuro-Fuzzy Inference System (ANFIS), new flexible tool, is applied to predict the cut-off frequencies of the symmetric and the anti-symmetric circumferential waves (Si and Ai, i=1,2) propagating around an...
Impact of Cloud Computing on ERP implementations in Higher Education
Penetration of Higher Education in all regions is increasing all over the globe at a very fast pace. With the increase in the number of institutions offering higher education, ERP implementations has become one of the ke...
Impact of Anaphora Resolution on Opinion Target Identification
Opinion mining is an interesting area of research because of its wide applications in the decision-making process. Opinion mining aims to extract user’s perception from the text and to create a fast and accurate summary...